1. [latex]3:1[/latex]
2. [latex]100:1[/latex]
3. [latex]1:50[/latex]
4. [latex]1:4[/latex]
5. [latex]\tfrac{4}{5}[/latex]
6. [latex]\tfrac{2}{500}[/latex]
7. [latex]\tfrac{1}{1}[/latex]
8. [latex]1:250[/latex] or [latex]\tfrac{1}{250}[/latex]
9. [latex]1:500[/latex] or [latex]\tfrac{1}{500}[/latex]
10. [latex]2:30[/latex] or [latex]\tfrac{2}{30}[/latex], or [latex]1:15[/latex] or [latex]\tfrac{1}{15}[/latex]

1. [latex]\tfrac{500}{2}=\tfrac{250}{1}[/latex]
2. [latex]1:1 = 5:5[/latex]
3. [latex]\tfrac{25}{1}=\tfrac{75}{3}[/latex] or [latex]25:1 = 75:3[/latex]
4. [latex]\tfrac{60}{1}=\tfrac{320}{4}[/latex] or [latex]60:1 = 320:4[/latex]
5. [latex]5:1 = 60:12[/latex] (Convert units first: One year = 12 months)

1. x = 9 [latex]\begin{align*} \dfrac{3}{4} &=\dfrac{x}{12} \\ \\ (3)(12) &=(4)(x) \\ \\ 36 &=4x \\ \\ 9 &=x\end{align*}[/latex]
2. x = 5 [latex]\begin{align*} \dfrac{x}{10} &=\dfrac{1}{2} \\ \\ (2)(x) &=(10)(1) \\ \\ 2x &=10 \\ \\ x &=5\end{align*}[/latex]
3. x = 150 [latex]\begin{align*} (3)(x) &=(6)(75) \\ \\ 3x &=450 \\ \\ x &=150\end{align*}[/latex]
4. x= 675 [latex]\begin{align*} (1)(x) &=(225)(3) \\ \\ x &=675\end{align*}[/latex]
5. x = 1 [latex]\begin{align*} (800)(x) &=(4)(200) \\ \\ 800x &= 800 \\ \\ x &=1\end{align*}[/latex]
6. x = 39 [latex]\begin{align*} 4x &=156 \\ \\ x &=39\end{align*}[/latex]
7. x = 9 [latex]\begin{align*} 72 &=8x \\ \\ 9 &=x\end{align*}[/latex]
8. x = 3 [latex]\begin{align*} \dfrac{4}{8} &=\dfrac{x}{6} \\ \\ (4)(6) &=(8)(x) \\ \\ 24 &=8x \\ \\ 3 &=x\end{align*}[/latex]
9. x = 375 [latex]\begin{align*} 2x &=750 \\ \\ x &=375\end{align*}[/latex]
10. x = 12 [latex]\begin{align*} \dfrac{x}{2} &=\dfrac{18}{3} \\ \\ (x)(2) &=(18)(3) \\ \\ 3x &=36 \\ \\ x &=12\end{align*}[/latex]

1. [latex]x = 21.3[/latex] [latex]\begin{align*} \dfrac{6}{x} = \dfrac{9}{32} &= \dfrac{9}{32} \\ \\ 9x &=192 \\ \\ x &=21.3\end{align*}[/latex]
2. [latex]x = 33.75[/latex] [latex]\begin{align*} 675 &=(20)(x) \\ \\ 33.75 &=x\end{align*}[/latex]
3. [latex]x = 110.5[/latex] [latex]\begin{align*} (2)(x) &=221 \\ \\ x &=110.5\end{align*}[/latex]
4. [latex]x = 5.6[/latex] [latex]\begin{align*} \dfrac{13}{7} &=\dfrac{x}{3} \\ \\ 39 &=(7)(x) \\ \\ 5.6 &=x\end{align*}[/latex]
5. [latex]x = 4[/latex] [latex]\begin{align*} \dfrac{x}{2} &=\dfrac{14}{7} \\ \\ (7)(x) &=28 \\ \\ x &=4\end{align*}[/latex]
6. [latex]x = 66.7[/latex] [latex]\begin{align*} 800 &=(12)(x) \\ \\ 66.7 &=x\end{align*}[/latex]
7. [latex]x = 0.86[/latex] [latex]\begin{align*} (28)(x) &=24 \\ \\ x &=0.86\end{align*}[/latex]
8. [latex]x = 0.5[/latex] [latex]\begin{align*} (72)(x) &=36 \\ \\ x &=0.5\end{align*}[/latex]
9. [latex]x = 14.7[/latex] [latex]\begin{align*} \dfrac{6}{4} &=\dfrac{22}{x} \\ \\ (6)(x) &=88 \\ \\ x &=14.7\end{align*}[/latex]
10. [latex]x = 2.8[/latex] [latex]\begin{align*} 54 &=(19)(x) \\ \\ 2.8 &=x\end{align*}[/latex]

1. [latex]x = 0.64[/latex] [latex]\begin{align*} 80 &=(125)(x) \\ \\ 0.64 &=x\end{align*}[/latex]
2. [latex]x = 59.5[/latex] [latex]\begin{align*} (2)(x) &=119 \\ \\ x &=59.5\end{align*}[/latex]
3. [latex]x = 4.5[/latex] [latex]\begin{align*} \dfrac{3}{x} &=\dfrac{8}{12} \\ \\ 36 &=(8)(x) \\ \\ 4.5 &=x\end{align*}[/latex]
4. [latex]x = 12000[/latex] [latex]\begin{align*} \dfrac{1200}{2} &=\dfrac{x}{20} \\ \\ 24000 &=(2)(x) \\ \\ 12000 &=x\end{align*}[/latex]
5. [latex]x = 2.06[/latex] [latex]\begin{align*} (490)(x) &=1008 \\ \\ x &=2.06\end{align*}[/latex]
6. [latex]x = 0.13[/latex] [latex]\begin{align*} \dfrac{397}{17} &=\dfrac{3}{x} \\ \\ (397)(x) &=51 \\ \\ x &=0.13\end{align*}[/latex]
7. [latex]x = 0.41[/latex] [latex]\begin{align*} (325)(x) &=133 \\ \\ x &=0.41\end{align*}[/latex]
8. [latex]x = 8.67[/latex] [latex]\begin{align*} 26 &=(3)(x) \\ \\ 8.67 &=x\end{align*}[/latex]
9. [latex]x = 13.41[/latex] [latex]\begin{align*} \dfrac{12}{x} &=\dfrac{17}{19} \\ \\ 228 &=(17)(x) \\ \\ 13.41 &=x\end{align*}[/latex]
10. [latex]x = 1.60[/latex] [latex]\begin{align*} \dfrac{x}{4} &=\dfrac{2}{5} \\ \\ (5)(x) &=8 \\ \\ x &=1.6\end{align*}[/latex]

1. [latex]\dfrac{6\div2}{16\div2}=\dfrac{3}{8}[/latex]
2. [latex]\dfrac{3\div3}{9\div3}=\dfrac{1}{3}[/latex]
3. [latex]\dfrac{10\div5}{25\div5}=\dfrac{2}{5}[/latex]
4. [latex]\dfrac{32\div8}{56\div8}=\dfrac{4}{7}[/latex]
5. [latex]\dfrac{22\div22}{44\div22}=\dfrac{1}{2}[/latex]
6. [latex]\dfrac{14\div7}{21\div7}=\dfrac{2}{3}[/latex]
7. [latex]\dfrac{13\div13}{13\div13}=\dfrac{1}{1}=1[/latex]
8. [latex]\dfrac{30\div6}{24\div6}=\dfrac{5}{4}=1\dfrac{1}{4}[/latex]
9. [latex]\dfrac{66\div2}{14\div2}=\dfrac{33}{7}=4\dfrac{5}{7}[/latex]
10. [latex]\dfrac{70\div5}{15\div5}=\dfrac{14}{3}=4\dfrac{2}{3}[/latex]

1. [latex]\dfrac{2}{3}[/latex]
2. [latex]\dfrac{9}{10}-\left(\dfrac{1}{5}\times\dfrac{2}{2}\right) = \dfrac{9}{10}-\dfrac{2}{10}=\dfrac{7}{10}[/latex]
3. [latex]\left(\dfrac{1}{4}\times\dfrac{3}{3}\right)+\left(\dfrac{2}{3}\times\dfrac{4}{4}\right) = \dfrac{3}{12}+\dfrac{8}{12} = \dfrac{11}{12}[/latex]
4. [latex]\left(\dfrac{3}{4}\times\dfrac{7}{7}\right)-\left(\dfrac{1}{7}\times\dfrac{4}{4}\right) = \dfrac{21}{28}-\dfrac{4}{28} = \dfrac{17}{28}[/latex]
5. [latex]\left(\dfrac{1}{2}\times\dfrac{2}{2}\right)+\dfrac{1}{4} = \dfrac{2}{4}+\dfrac{1}{4} = \dfrac{3}{4}[/latex]
6. [latex]\left(\dfrac{2}{3}\times\dfrac{3}{3}\right)-\dfrac{1}{9} = \dfrac{6}{9}-\dfrac{1}{9} = \dfrac{5}{9}[/latex]
7. [latex]\left(\dfrac{2}{5}\times\dfrac{6}{6}\right)+\left(\dfrac{1}{6}\times\dfrac{5}{5}\right) = \dfrac{12}{30}+\dfrac{5}{30} = \dfrac{17}{30}[/latex]
8. [latex]\left(\dfrac{2}{3}\times\dfrac{2}{2}\right)+\dfrac{5}{6} = \dfrac{4}{6}+\dfrac{5}{6} = \dfrac{9}{6} = 1\dfrac{3}{6} = 1\dfrac{1}{2}[/latex]
9. [latex]\dfrac{7}{8}-\left(\dfrac{1}{2}\times\dfrac{4}{4}\right) = \dfrac{7}{8}-\dfrac{4}{8}=\dfrac{3}{8}[/latex]
10. [latex]\left(\dfrac{5}{6}\times\dfrac{5}{5}\right)-\left(\dfrac{1}{10}\times\dfrac{3}{3}\right) = \dfrac{25}{30}-\dfrac{3}{30}=\dfrac{22}{30} = \dfrac{22\div2}{30\div2} = \dfrac{11}{15}[/latex]

1. [latex]\dfrac{7}{50}[/latex]
2. [latex]\dfrac{2}{8} = \dfrac{1}{4}[/latex]
3. [latex]\dfrac{3}{7}\times\dfrac{5}{12} = \dfrac{15}{84}= \dfrac{5}{28}[/latex]
4. [latex]\dfrac{11}{3}\times\dfrac{7}{8} = \dfrac{77}{24} = 3\dfrac{5}{24}[/latex]
5. [latex] \dfrac{8}{5}\times\dfrac{29}{6}= \dfrac{232}{30} = 7\dfrac{22}{30} = 7\dfrac{11}{15}[/latex]
6. [latex]\dfrac{4}{9}\times\dfrac{2}{1} = \dfrac{8}{9}[/latex]
7. [latex]\dfrac{2}{3}\times\dfrac{10}{6} = \dfrac{20}{18} = 1\dfrac{2}{18} = 1\dfrac{1}{9}[/latex]
8. [latex]\dfrac{3}{5}\times\dfrac{7}{4} = \dfrac{21}{20} = 1\dfrac{1}{20}[/latex]
9. [latex]\dfrac{6}{13}\times\dfrac{5}{4} = \dfrac{30}{52}= \dfrac{15}{26}[/latex]
10. [latex]\dfrac{1}{4}\times\dfrac{9}{3} = \dfrac{9}{12}= \dfrac{3}{4}[/latex]

1. No.
2. Yes. Convert 1 g to mg.
3. Yes. Convert 0.15 mg to mcg.
4. No.
5. Yes. Convert 500 mcg to mg.
6. No.
7. Yes. Convert 1 g to mg.
8. Yes. Convert 500 mcg to g.
9. Yes. Convert 150 mg to mcg.
10. No.

1. 1,000 mg           [latex]x\text{ mg}=\dfrac{\text{1000 mg}}{\text{1 g}}\times\text{1 g}[/latex]
2. 500 mcg          [latex]x\text{ mcg}=\dfrac{\text{1000 mcg}}{\text{1 mg}}\times\text{0.5 mg}[/latex]
3. 0.5 mg              [latex]x\text{ mg}=\dfrac{\text{1 mg}}{\text{1000 mcg}}\times\text{500 mcg}[/latex] 
4. 500 mg            [latex]x\text{ mg}=\dfrac{\text{1000 mg}}{\text{1 g}}\times\text{x0.5 g}[/latex]
5. 0.25 mg            [latex]x\text{ mg}=\dfrac{\text{1 mg}}{\text{1000 mcg}}\times\text{250 mcg}[/latex] 
6. 2,000 mg          [latex]x\text{ mg}=\dfrac{\text{1000 mg}}{\text{1 g}}\times\text{2 g}[/latex]
7. 400 mcg          [latex]x\text{ mcg}=\dfrac{\text{1000 mcg}}{\text{1 mg}}\times\text{0.4 mg}[/latex]
8. 150 mcg            [latex]x\text{ mcg}=\dfrac{\text{1000 mcg}}{\text{1 mg}}\times\text{0.15 mg}[/latex]
9. 750 mg             [latex]x\text{ mg}=\dfrac{\text{1000 mg}}{\text{1 g}}\times\text{0.75 g}[/latex]
10. 1,500 mg           [latex]x\text{ mg}=\dfrac{\text{1000 mg}}{\text{1 g}}\times\text{1.5 g}[/latex]

1. 2.35 kg         [latex]x\text{ kg}=\dfrac{\text{1 kg}}{\text{1000 g}}\times\text{2347 g}[/latex]
2. 77 lb         [latex]x\text{ lbs}=\dfrac{\text{2.2 lbs}}{\text{1 kg}}\times\text{35 kg}[/latex]
3. 11.36 kg        [latex]x\text{ kg}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{25 lbs}[/latex]
4. 1,270 g          [latex]x\text{ g}=\dfrac{\text{1000 g}}{\text{1 kg}}\times\text{1.27 kg}[/latex]
5. 192.5 lb        [latex]x\text{ lbs}=\dfrac{\text{2.2 lbs}}{\text{1 kg}}\times\text{87.5 kg}[/latex]
6. 14.54 kg      [latex]x\text{ kg}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{32 lbs}[/latex]
7. 367.4 lb       [latex]x\text{ lbs}=\dfrac{\text{2.2 lbs}}{\text{1 kg}}\times\text{167 kg}[/latex]
8. 0.477 kg      [latex]x\text{ kg}=\dfrac{\text{1 kg}}{\text{1000 g}}\times\text{477 g}[/latex]
9. 25.96            [latex]x\text{ lbs}=\dfrac{\text{2.2 lbs}}{\text{1 kg}}\times\text{11.8 kg}[/latex]
10. 2,840.9 grams.   

1. Convert ounces to pounds [latex]x\text{ lbs}=\dfrac{\text{1 lb}}{\text{16 oz}}\times\text{4 oz}[/latex] = 0.25
2. Add converted ounces (0.25 lbs) to the known amount of pounds (6) from the question. =6.25
3. Convert pounds to grams: [latex]x\text{ g}=\dfrac{\text{1000 g}}{\text{1 kg}}\times\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{6.25 lbs}[/latex]

1. 1,150 mL [latex]x\text{ mL}=\dfrac{\text{1000 mL}}{\text{1 L}}\times\text{1.15 L}[/latex]
2. 0.237 L [latex]x\text{ L}=\dfrac{\text{1 L}}{\text{1000 mL}}\times\text{237 mL}[/latex]
3. 5.819 L [latex]x\text{ L}=\dfrac{\text{1 L}}{\text{1000 mL}}\times\text{5819 mL}[/latex]
4. 375 mL [latex]x\text{ mL}=\dfrac{\text{250 mL}}{\text{1 cup}}\times\text{1.5 cups}[/latex]
5. 500 mL [latex]x\text{ mL}=\dfrac{\text{250 mL}}{\text{1 cup}}\times\text{2 cups}[/latex]
6. 2.555 L Calculate in two steps:
   1. [latex]\text{1875 mL}+\text{680 mL}=\text{2555 mL}[/latex]
   2. [latex]x\text{ L}=\dfrac{\text{1 L}}{\text{1000 mL}}\times\text{2555 mL}[/latex]
7. 887.5 mL [latex]x\text{ mL}=\dfrac{\text{355 mL}}{\text{1 can}}\times\text{2.5 cans}[/latex]
8. No, not quite enough. She likely gave 12.5 mL. [latex]x\text{ mL}=\dfrac{\text{5 mL}}{\text{1 tsp}}\times\text{2.5 tsp}[/latex] 
9. 25 days [latex]x\text{ days}=\dfrac{\text{1 day}}{\text{2 gtts}}\times\dfrac{\text{1 gtt}}{\text{50}\mu\text{L}} \times\dfrac{\text{1000}\mu\text{L}}{\text{1 mL}}\times\text{2.5 mL}[/latex]
10. Yes, it would be a minimum of 480 mL if 8 oz of milk and 8 oz of molasses was used and a maximum of 960 mL if 16 oz of each were used. [latex]x\text{ mL}=\dfrac{\text{30 mL}}{\text{1 oz}}\times\text{16 oz}[/latex][latex]x\text{ mL}=\dfrac{\text{30 mL}}{\text{1 oz}}\times\text{32 oz}[/latex]

1. 0615 hours
2. 2130 hours
3. 1600 hours
4. 1925 hours
5. 2315 hours
6. 1410 hours
7. 0354 hours
8. 1705 hours
9. 1338 hours
10. 1845 hours
11. 2045 hours
12. 0936 hours
13. 1444 hours
14. 1712 hours
15. 2200 hours
16. 1818 hours
17. 1548 hours
18. 2315 hours
19. 1927 hours
20. 0420 hours

1. 7:15 p.m.
2. 2:35 p.m.
3. 6:42 a.m.
4. 5:24 p.m.
5. 11:17 p.m.
6. 4:04 p.m.
7. 1:03 p.m.
8. 9:59 p.m.
9. 3:22 p.m.
10. 10:20 p.m.

1. nitroglycerin
2. 22.4 mg

1. dimenhydrinate
2. 50 mg

1. beclomethasone dipropionate
2. 50 micrograms (µg)

1. cholecalciferol - it is not visible on this bottle
2. 1000 IU (in each tablet)

1. budesonide
2. 0.5 mg. The total amount in one whole ampoule is 0.5 mg, as there is 2 mL in one ampoule.

1. 2 tablets [latex]\text{x tablets}=\dfrac{\text{1 tablet}}{\text{325 mg}}\times{\text{650mg}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 tablet}}{325\cancel{\text{ mg}}}\times{650\cancel{\text{ mg}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{650 tablet}}{\text{325}}\\[/latex][latex]\text{x tablets}=2[/latex]
2. 3 capsules [latex]\text{x tablets}=\dfrac{\text{1 capsule}}{\text{25 mg}}\times{\text{75 mg}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 capsule}}{25\cancel{\text{ mg}}}\times{75\cancel{\text{ mg}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{75 capsule}}{\text{25}}\\[/latex][latex]\text{x tablets}=3[/latex]
3. 2 tablets [latex]\text{x tablets}=\dfrac{\text{1 tablet}}{\text{200 mg}}\times{\text{400mg}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 tablet}}{200\cancel{\text{ mg}}}\times{400\cancel{\text{ mg}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{400 tablet}}{\text{200}}\\[/latex][latex]\text{x tablets}=2[/latex]
4. 0.25 tablet [latex]\text{x tablets}=\dfrac{\text{1 tablet}}{\text{50 mg}}\times{\text{12.5 mg}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 tablet}}{50\cancel{\text{ mg}}}\times{12.5\cancel{\text{ mg}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{12.5 tablet}}{\text{50}}\\[/latex][latex]\text{x tablets}=0.25[/latex]
5. 3 capsules [latex]\text{x tablets}=\dfrac{\text{1 capsule}}{\text{100 mg}}\times{\text{300 mg}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 capsule}}{100\cancel{\text{ mg}}}\times{300\cancel{\text{ mg}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{300 capsule}}{\text{100}}\\[/latex][latex]\text{x tablets}=3[/latex]
6. 4 tablets [latex]\text{x tablets}=\dfrac{\text{1 tablet}}{\text{250 mg}}\times{\dfrac{\text{1000 mg}}{\text{1 g}}}\times{\text{1 g}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 tablet}}{250\cancel{\text{ mg}}}\times{\dfrac{1000\cancel{\text{ mg}}}{\cancel{\text{1 g}}}}\times{\cancel{\text{1 g}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1000 tablet}}{\text{250}}\\[/latex][latex]\text{x tablets}=4[/latex]
7. 0.5 tablet [latex]\text{x tablets}=\dfrac{\text{1 tablet}}{\text{0.5 mg}}\times{\dfrac{\text{1 mg}}{\text{1000 mcg}}}\times{\text{250 mcg}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 tablet}}{0.5\cancel{\text{ mg}}}\times{\dfrac{1\cancel{\text{ mg}}}{1000\cancel{\text{ mcg}}}}\times{250\cancel{\text{ mcg}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{250 tablet}}{\text{500}}\\[/latex][latex]\text{x tablets}=0.5[/latex]
8. 2 tablets [latex]\text{x tablets}=\dfrac{\text{1 tablet}}{\text{40 mg}}\times{\text{80 mg}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 tablet}}{40\cancel{\text{ mg}}}\times{80\cancel{\text{ mg}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{80 tablet}}{\text{40}}\\[/latex][latex]\text{x tablets}=2[/latex]
9. 2 tablets [latex]\text{x tablets}=\dfrac{\text{1 tablet}}{\text{5 mg}}\times{\text{10 mg}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 tablet}}{5\cancel{\text{ mg}}}\times{10\cancel{\text{ mg}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{10 tablet}}{5}\\[/latex][latex]\text{x tablets}=2[/latex]
10. 0.5 tablet [latex]\text{x tablets}=\dfrac{\text{1 tablet}}{\text{90 mg}}\times{\text{45 mg}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{1 tablet}}{90\cancel{\text{ mg}}}\times{45\cancel{\text{ mg}}}\\[/latex][latex]\text{x tablets}=\dfrac{\text{45 tablet}}{\text{90}}\\[/latex][latex]\text{x tablets}=0.5[/latex]

1. 0.5 mL [latex]\text{x mL}=\dfrac{\text{1 mL}}{\text{50 mg}}\times{\text{25 mg}}\\[/latex][latex]\text{x mL}=\dfrac{\text{1 mL}}{50\cancel{\text{ mg}}}\times{25\cancel{\text{ mg}}}\\[/latex][latex]\text{x mL}=\dfrac{\text{25 mL}}{\text{50}}\\[/latex][latex]\text{x mL}=0.5[/latex]
2. 0.75 mL [latex]\text{x mL}=\dfrac{\text{1 mL}}{\text{2 mg}}\times{\text{1.5 mg}}\\[/latex][latex]\text{x mL}=\dfrac{\text{1 mL}}{2\cancel{\text{ mg}}}\times{1.5\cancel{\text{ mg}}}\\[/latex][latex]\text{x mL}=\dfrac{\text{1.5 mL}}{2}\\[/latex][latex]\text{x mL}=0.75[/latex]
3. 1.4 mL [latex]\text{x mL}=\dfrac{\text{2 mL}}{\text{10 mg}}\times{\text{7 mg}}\\[/latex][latex]\text{x mL}=\dfrac{\text{2 mL}}{10\cancel{\text{ mg}}}\times{7\cancel{\text{ mg}}}\\[/latex][latex]\text{x mL}=\dfrac{\text{15 mL}}{10}\\[/latex][latex]\text{x mL}=1.4[/latex]
4. 2.8 mL [latex]\text{x mL}=\dfrac{\text{1 mL}}{\text{40 mg}}\times{\text{112 mg}}\\[/latex][latex]\text{x mL}=\dfrac{\text{1 mL}}{40\cancel{\text{ mg}}}\times{112\cancel{\text{ mg}}}\\[/latex][latex]\text{x mL}=\dfrac{\text{112 mL}}{\text{40}}\\[/latex][latex]\text{x mL}=2.8[/latex]
5. 0.25 mL [latex]\text{x mL}=\dfrac{\text{1 mL}}{\text{2 mg}}\times{\text{0.5 mg}}\\[/latex][latex]\text{x mL}=\dfrac{\text{1 mL}}{2\cancel{\text{ mg}}}\times{0.5\cancel{\text{ mg}}}\\[/latex][latex]\text{x mL}=\dfrac{\text{0.5 mL}}{2}\\[/latex][latex]\text{x mL}=0.25[/latex]
6. 0.05 mL [latex]\text{x mL}=\dfrac{\text{1 mL}}{\text{1000 mcg}}\times{\text{50 mcg}}\\[/latex][latex]\text{x mL}=\dfrac{\text{1 mL}}{1000\cancel{\text{ mg}}}\times{50\cancel{\text{ mg}}}\\[/latex][latex]\text{x mL}=\dfrac{\text{50 mL}}{\text{1000}}\\[/latex][latex]\text{x mL}=0.05[/latex]
7. 1.48 mL First, calculate the total loading dose based on the client's weight. [latex]\text{x mcg}=\dfrac{\text{10 mcg}}{\text{1 kg}}\times{\text{74 kg}}\\[/latex][latex]\text{x mL}=\dfrac{\text{10 mcg}}{1\cancel{\text{ kg}}}\times{74\cancel{\text{ kg}}}\\[/latex][latex]\text{x mL}=740\text{ mcg}\\[/latex] Second, calculate the amount of the first portion of the loading dose. (50% = half of the total) [latex]740\text{ mcg}\div 2[/latex] [latex]=370\text{ mcg}[/latex] Third, calculate the volume to draw up from the medication supply. [latex]\text{x mL}=\dfrac{\text{1 mL}}{\text{0.25 mg}}\times\dfrac{\text{1 mg}}{\text{1000 mcg}}\times{\text{370 mcg}}\\[/latex][latex]\text{x mL}=\dfrac{\text{1 mL}}{0.25\cancel{\text{ mg}}}\times\dfrac{1\cancel{\text{ mg}}}{1000\cancel{\text{ mcg}}}\times{370\cancel{\text{ mcg}}}\\[/latex][latex]\text{x mL}=\dfrac{\text{370 mL}}{\text{250}}\\[/latex][latex]\text{x mL}=1.48\text{ mL}[/latex]

1. 0.65 mL [latex]\begin{align*} \dfrac{65}{x} &=\dfrac{100}{1} \\ \\ 65 &=\text{(100)(x)} \\ \\ 0.65 &=\text{x}\end{align*}[/latex]
2. 1.2 mL [latex]\begin{align*} \dfrac{120}{x} &=\dfrac{300}{3} \\ \\ 360 &=\text{(300)(x)} \\ \\ 1.2 &=\text{x}\end{align*}[/latex]
3. 0.5 mL [latex]\begin{align*} \dfrac{0.5}{x} &=\dfrac{1}{1} \\ \\ 0.5 &=\text{(1)(x)} \\ \\ 0.5 &=\text{x}\end{align*}[/latex]
4. 2.25 mL [latex]\begin{align*} \dfrac{4.5}{x} &=\dfrac{2}{1} \\ \\ 4.5 &=\text{(2)(x)} \\ \\ 2.25 &=\text{x}\end{align*}[/latex]
5. 0.7 mL [latex]\begin{align*} \dfrac{35}{x} &=\dfrac{50}{1} \\ \\ 35 &=\text{(50)(x)} \\ \\ 0.7 &=\text{x}\end{align*}[/latex]
6. 0.7 mL [latex]\begin{align*} \dfrac{3.5}{x} &=\dfrac{5}{1} \\ \\ 3.5 &=\text{(5)(x)} \\ \\ 0.7 &=\text{x}\end{align*}[/latex]
7. 0.35 mL [latex]\begin{align*} \dfrac{1.4}{x} &=\dfrac{4}{1} \\ \\ 1.4 &=\text{(4)(x)} \\ \\ 0.35 &=\text{x}\end{align*}[/latex]
8. 0.53 mL [latex]\begin{align*} \dfrac{1.6}{x} &=\dfrac{6}{2} \\ \\ 3.2 &=\text{(6)(x)} \\ \\ 0.53 &=\text{x}\end{align*}[/latex]
9. 1.8 mL [latex]\begin{align*} \dfrac{7.2}{x} &=\dfrac{4}{1} \\ \\ 7.2 &=\text{(4)(x)} \\ \\ 1.8 &=\text{x}\end{align*}[/latex]
10. 1.7 mL [latex]\begin{align*} \dfrac{0.17}{x} &=\dfrac{0.1}{1} \\ \\ 0.17 &=\text{(0.1)(x)} \\ \\ 1.7 &=\text{x}\end{align*}[/latex]

1. 2 mL [latex]\begin{align*} \dfrac{0.4}{x} &=\dfrac{0.2}{1} \\ \\ 0.4 &=\text{(0.2)(x)} \\ \\ 2 &=\text{x}\end{align*}[/latex]
2. 0.2 mL [latex]\begin{align*} \dfrac{20}{x} &=\dfrac{300}{3} \\ \\ 60 &=\text{(300)(x)} \\ \\ 0.2 &=\text{x}\end{align*}[/latex]
3. 0.4 mL [latex]\begin{align*} \dfrac{50}{x} &=\dfrac{125}{1} \\ \\ 50 &=\text{(125)(x)} \\ \\ 0.4 &=\text{x}\end{align*}[/latex]
4. 0.6 mL [latex]\begin{align*} \dfrac{24}{x} &=\dfrac{40}{1} \\ \\ 24 &=\text{(40)(x)} \\ \\ 0.6 &=\text{x}\end{align*}[/latex]
5. 0.75 mL [latex]\begin{align*} \dfrac{3}{x} &=\dfrac{4}{1} \\ \\ 3 &=\text{(4)(x)} \\ \\ 0.75 &=\text{x}\end{align*}[/latex]
6. 0.27 mL [latex]\begin{align*} \dfrac{0.27}{x} &=\dfrac{1}{1} \\ \\ 0.27 &=\text{(1)(x)} \\ \\ 0.27 &=\text{x}\end{align*}[/latex]
7. 0.8 mL [latex]\begin{align*} \dfrac{4}{x} &=\dfrac{5}{1} \\ \\ 4 &=\text{(5)(x)} \\ \\ 0.8 &=\text{x}\end{align*}[/latex]
8. 2.5 mL [latex]\begin{align*} \dfrac{300}{x} &=\dfrac{120}{1} \\ \\ 300 &=\text{(120)(x)} \\ \\ 2.5 &=\text{x}\end{align*}[/latex]
9. 2.6 mL [latex]\begin{align*} \dfrac{5.2}{x} &=\dfrac{2}{1} \\ \\ 5.2 &=\text{(2)(x)} \\ \\ 2.6 &=\text{x}\end{align*}[/latex]
10. 2 mL [latex]\begin{align*} \dfrac{25}{x} &=\dfrac{12.5}{1} \\ \\ 25 &=\text{(12.5)(x)} \\ \\ 2 &=\text{x}\end{align*}[/latex]

1. 2.2 mL [latex]\begin{align*} \dfrac{785}{x} &=\dfrac{250}{0.7} \\ \\ 549.5 &=\text{(250)(x)} \\ \\ 2.2 &=\text{x}\end{align*}[/latex]
2. 1.8 mL [latex]\begin{align*} x\text{ mg} &=\dfrac{\text{1 mg}}{1000\cancel{\text{mcg}}}\times360\cancel{\text{ mcg}} x &=\text{0.36 mg}\end{align*}[/latex] [latex]\begin{align*} \dfrac{0.36}{x} &=\dfrac{0.2}{1} \\ \\ 0.36 &=\text{(0.2)(x)} \\ \\ 1.8 &=\text{x}\end{align*}[/latex]
3. 1.7 mL [latex]\begin{align*} \dfrac{425}{x} &=\dfrac{500}{2} \\ \\ 850 &=\text{(500)(x)} \\ \\ 1.7 &=\text{x}\end{align*}[/latex]
4. 0.45 mL [latex]\begin{align*} \dfrac{0.45}{x} &=\dfrac{1}{1} \\ \\ 0.45 &=\text{(1)(x)} \\ \\ 0.45 &=\text{x}\end{align*}[/latex] 0.7 mL [latex]\begin{align*} \dfrac{35}{x} &=\dfrac{50}{1} \\ \\ 35 &=\text{(50)(x)} \\ \\ 0.7 &=\text{x}\end{align*}[/latex]
5. 1.5 mL [latex]\begin{align*} \dfrac{6}{x} &=\dfrac{4}{1} \\ \\ 6 &=\text{(4)(x)} \\ \\ 1.5 &=\text{x}\end{align*}[/latex]
6. 1.3 mL [latex]\begin{align*} \dfrac{1300}{x} &=\dfrac{1000}{1} \\ \\ 1300 &=\text{(1000)(x)} \\ \\ 1.3 &=\text{x}\end{align*}[/latex]
7. 1.9 mL [latex]\begin{align*} \dfrac{76}{x} &=\dfrac{40}{1} \\ \\ 76 &=\text{(40)(x)} \\ \\ 1.9 &=\text{x}\end{align*}[/latex]
8. 1.1 mL [latex]\begin{align*} \dfrac{2.2}{x} &=\dfrac{2}{1} \\ \\ 2.2 &=\text{(2)(x)} \\ \\ 2.2 &=\text{x}\end{align*}[/latex]
9. 0.45 mL [latex]\begin{align*} \dfrac{13.5}{x} &=\dfrac{30}{1} \\ \\ 13.5 &=\text{(30)(x)} \\ \\ 0.45 &=\text{x}\end{align*}[/latex]
10. 4 mL [latex]\begin{align*} \dfrac{40}{x} &=\dfrac{10}{1} \\ \\ 40 &=\text{(10)(x)} \\ \\ 4 &=\text{x}\end{align*}[/latex]

1. 480 mg/dose          [latex]\dfrac{\text{15 mg}}{\text{1 kg}}\times\text{32 kg}[/latex]
2. 20 mg/dose            [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{44 lbs}=\text{20 kg}[/latex],  [latex]\text{dose}=\dfrac{\text{1 mg}}{\text{1 kg}}\times\text{20 kg}[/latex]
3. 160-240 mg/dose  [latex]\dfrac{\text{10 mg}}{\text{1 kg}}\times\text{16 kg}[/latex], [latex]\dfrac{\text{15 mg}}{\text{1 kg}}\times\text{16 kg}[/latex]
4. 2430 mg/dose       [latex]\dfrac{\text{90 mg}}{\text{1 kg}}\times\text{27 kg}[/latex]
5. 76-190 mg/dose    [latex]\dfrac{\text{4 mg}}{\text{1 kg}}\times\text{19 kg}[/latex], [latex]\dfrac{\text{10 mg}}{\text{1 kg}}\times\text{19 kg}[/latex]
6. 34-85 mg/dose     [latex]\dfrac{\text{2 mg}}{\text{1 kg}}\times\text{17 kg}[/latex], [latex]\dfrac{\text{5 mg}}{\text{1 kg}}\times\text{17 kg}[/latex]
7. 350 mg/dose        [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{38.5 lbs}=\text{17.5 kg}[/latex], [latex]\text{dose }=\dfrac{\text{20 mg}}{\text{1 kg}}\times\text{17.5 kg}[/latex]
8. 90 mg/dose          [latex]\dfrac{\text{7.5 mg}}{\text{1 kg}}\times\text{12 kg}[/latex]
9. 1800 mg/dose     [latex]\dfrac{\text{50 mg}}{\text{1 kg}}\times\text{36 kg}[/latex]
10. 35 mg/dose          [latex]\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{70 kg}[/latex]

1. 2150 mg/dose              [latex]\dfrac{\text{50 mg}}{\text{1 kg}}\times\text{43 kg}[/latex]
2. 15 - 30 mg/dose          [latex]\dfrac{\text{1 mg}}{\text{1 kg}}\times\text{15 kg}[/latex], [latex]\dfrac{\text{2 mg}}{\text{1 kg}}\times\text{15 kg}[/latex]
3. 287.5 mg/dose          [latex]\dfrac{\text{12.5 mg}}{\text{1 kg}}\times\text{23 kg}[/latex]
4. 10.7 mg/dose            [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{47 lbs}=\text{21.4 kg}[/latex],  [latex]\text{dose}=\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{21.4 kg}[/latex]
5. 465 mg/dose              [latex]\dfrac{\text{15 mg}}{\text{1 kg}}\times\text{31 kg}[/latex]
6. 350 - 525 mg/dose      [latex]\dfrac{\text{10 mg}}{\text{1 kg}}\times\text{35 kg}[/latex], [latex]\dfrac{\text{15 mg}}{\text{1 kg}}\times\text{35 kg}[/latex]
7. 3344 mg/dose             [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{92 lbs}=\text{41.8 kg}[/latex],  [latex]\text{dose}=\dfrac{\text{80 mg}}{\text{1 kg}}\times\text{41.8 kg}[/latex]
8. 203 mg/dose            [latex]\dfrac{\text{7 mg}}{\text{1 kg}}\times\text{29 kg}[/latex]
9. 415 - 830 mg/dose       [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{73 lbs}=\text{33.2 kg}[/latex],  [latex]\text{dose}=\dfrac{\text{12.5 mg}}{\text{1 kg}}\times\text{33.2 kg}[/latex], [latex]\text{dose}=\dfrac{\text{25 mg}}{\text{1 kg}}\times\text{33.2 kg}[/latex]
10. 9.5 - 19 mg/dose      [latex]\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{19 kg}[/latex], [latex]\dfrac{\text{1 mg}}{\text{1 kg}}\times\text{19 kg}[/latex]

1. 0.3 mg/dose [latex]\dfrac{\text{0.02 mg}}{\text{1 kg}}\times\text{15 kg} = \text{0.3 mg/dose}[/latex]
2. 0.79 mg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{22 lbs} = \text{9.97 kg}[/latex][latex]\dfrac{\text{0.08 mg}}{\text{1 kg}}\times\text{9.97 kg} = \text{0.79 mg/dose}[/latex]
3. 260 mg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{82 lbs} = \text{37.19 kg}[/latex][latex]\dfrac{\text{7 mg}}{\text{1 kg}}\times\text{37.19 kg} = \text{260 mg/dose}[/latex]
4. 140.1 mcg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{31 lbs} = \text{14.01 kg}[/latex][latex]\dfrac{\text{10 mcg}}{\text{1 kg}}\times\text{14.01 kg} = \text{140.1 mcg/dose}[/latex]
5. 50 mcg/dose [latex]\dfrac{\text{2 mcg}}{\text{1 kg}}\times\text{25 kg} = \text{50 mcg/dose}[/latex]
6. 0.73 mg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 kgs}}\times\text{16 lbs} = \text{7.25 kg}[/latex][latex]\dfrac{\text{0.1 mg}}{\text{1 kg}}\times\text{7.25 kg} = \text{0.73 mg/dose}[/latex]
7. 260 mg/dose [latex]\dfrac{\text{20 mg}}{\text{1 kg}}\times\text{13 kg} = \text{260 mg/dose}[/latex]
8. 5.45 mg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{48 lbs} = \text{21.8 kg}[/latex][latex]\dfrac{\text{0.25 mg}}{\text{1 kg}}\times\text{21.8 kg} = \text{5.45 mg/dose}[/latex]
9. 1800 mg/dose [latex]\dfrac{\text{75 mg}}{\text{1 kg}}\times\text{24 kg} = \text{1800 mg/dose}[/latex]
10. 1.4 mcg/min [latex]\dfrac{\text{0.1 mcg}}{\text{1 kg}}\times\text{14 kg} = \text{1.4 mcg/min}[/latex]

1. 390-585 mg/dose [latex]\dfrac{\text{10 mg}}{\text{1 kg}}\times\text{39 kg} = \text{390 mg/dose}\\[/latex][latex]\dfrac{\text{15 mg}}{\text{1 kg}}\times\text{39 kg} = \text{585 mg/dose}[/latex]
2. 1680-2400 mg/dose [latex]\dfrac{\text{35 mg}}{\text{1 kg}}\times\text{48 kg} = \text{1680 mg/dose}\\[/latex][latex]\dfrac{\text{50 mg}}{\text{1 kg}}\times\text{48 kg} = \text {2400 mg/dose}[/latex]
3. 2.45-12.25 mg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{27 lbs} = \text{12.25 kg}\\[/latex][latex]\dfrac{\text{0.2 mg}}{\text{1 kg}}\times\text{12.25 kg} = \text{2.45 mg/dose}\\[/latex][latex]\dfrac{\text{1 mg}}{\text{1 kg}}\times\text{12.25} = \text{12.25 mg/dose}[/latex]
4. 0.38-0.76 mg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{84 lbs} = \text{38.1 kg}\\[/latex][latex]\dfrac{\text{0.01 mg}}{\text{1 kg}}\times\text{38.1 kg} = \text{0.38 mg/dose}\\[/latex][latex]\dfrac{\text{0.02 mg}}{\text{1 kg}}\times\text{38.1 kg} = \text{0.76 mg/dose}[/latex]
5. 1.48-7.4 mg/dose [latex]\dfrac{\text{0.04 mg}}{\text{1 kg}}\times\text{37 kg} = \text{1.48 mg/dose}\\[/latex][latex]\dfrac{\text{0.2 mg}}{\text{1 kg}}\times\text{37 kg} = \text{7.4 mg/dose}[/latex]
6. 163.3-326.6 mg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{72 lbs} = \text{32.66 kg}\\[/latex][latex]\dfrac{\text{5 mg}}{\text{1 kg}}\times\text{32.66 kg} = \text{163.3 mg/dose}\\[/latex][latex]\dfrac{\text{10 mg}}{\text{1 kg}}\times\text{32.66 kg} = \text{326.6 mg/dose}[/latex]
7. 9.8-24.5 mg/dose [latex]\dfrac{\text{0.2 mg}}{\text{1 kg}}\times\text{49 kg} = \text{9.8 mg/dose}\\[/latex][latex]\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{49 kg} = \text{24.5 mg/dose}[/latex]
8. 11.15-22.3 mg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{49 lbs} = \text{22.3 kg}\\[/latex][latex]\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{22.3 kg} = \text{11.15 mg/dose}\\[/latex][latex]\dfrac{\text{1 mg}}{\text{1 kg}}\times\text{22.3 kg} = \text{22.3 mg/dose}[/latex]
9. 3.75-15 g/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{33 lbs} = \text{15 kg}\\[/latex][latex]\dfrac{\text{0.25 g}}{\text{1 kg}}\times\text{15 kg} = \text{3.75 g/dose}\\[/latex][latex]\dfrac{\text{1 g}}{\text{1 kg}}\times\text{15 kg} = \text{15 g/dose}[/latex]
10. 37.7-56.55 mg/dose [latex]\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{83 lbs} = \text{37.7 kg}\\[/latex][latex]\dfrac{\text{1 mg}}{\text{1 kg}}\times\text{37.7 kg} = \text{37.7 mg/dose}\\[/latex][latex]\dfrac{\text{1.5 mg}}{\text{1 kg}}\times\text{37.7 kg} = \text{56.55 mg/dose}[/latex]

1. Yes, this is a safe dose. 500 mg is in the safe range of 410-615 mg. [latex]\text{min dose}=\dfrac{\text{10 mg}}{\text{1 kg}}\times\text{41 kg}=\text{410 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{15 mg}}{\text{1 kg}}\times\text{41 kg}=\text{615 mg}[/latex]
2. No, this is not a safe dose. 250 mg is above the safe range of 120-180 mg. [latex]\text{min dose}=\dfrac{\text{10 mg}}{\text{1 kg}}\times\text{12 kg}=\text{120 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{15 mg}}{\text{1 kg}}\times\text{12 kg}=\text{180 mg}[/latex]
3. Yes, this is a safe dose. 80 mg is the correct dose when given rectally (PR). [latex]\text{dose}=\dfrac{\text{20 mg}}{\text{1 kg}}\times\text{4 kg}=\text{80 mg}[/latex]
4. Yes, this is a safe single dose. 300 mg is in the safe range of 230-345 mg. [latex]\text{min dose}=\dfrac{\text{10 mg}}{\text{1 kg}}\times\text{23 kg}=\text{230 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{15 mg}}{\text{1 kg}}\times\text{23 kg}=\text{345 mg}[/latex]
5. No, this is not a safe dose. 125 mg is below the safe range of 160-240 mg. [latex]\text{min dose}=\dfrac{\text{10 mg}}{\text{1 kg}}\times\text{16 kg}=\text{160 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{15 mg}}{\text{1 kg}}\times\text{16 kg}=\text{240 mg}[/latex]

1. Yes, this is a safe dose. 300 mg is in the safe range of 176-374 mg. [latex]\text{min dose}=\dfrac{\text{8 mg}}{\text{1 kg}}\times\text{22 kg}=\text{176 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{17 mg}}{\text{1 kg}}\times\text{22 kg}=\text{374 mg}[/latex]
2. Yes, this is a safe dose. 600 mg is in the safe range of 378-819 mg. [latex]\text{min dose}=\dfrac{\text{6 mg}}{\text{1 kg}}\times\text{63 kg}=\text{378 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{13 mg}}{\text{1 kg}}\times\text{63 kg}=\text{819 mg}[/latex]
3. No, this is not a safe dose. 600 mg is above the safe range of 200-425 mg. [latex]\text{min dose}=\dfrac{\text{8 mg}}{\text{1 kg}}\times\text{25 kg}=\text{200 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{17 mg}}{\text{1 kg}}\times\text{25 kg}=\text{425 mg}[/latex]
4. No, this is not a safe dose. The dose for a 1 year old is 150 mg BID.
5. Yes, this is a safe dose. 150 mg is in the safe range of 78-169 mg. [latex]\text{min dose}=\dfrac{\text{6 mg}}{\text{1 kg}}\times\text{13 kg}=\text{78 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{13 mg}}{\text{1 kg}}\times\text{13 kg}=\text{169 mg}[/latex]

1. Yes, this is a safe dose. 5 mg is in the safe range of 5-10 mg and does not exceed the daily maximum if all 4 prn doses were given. [latex]\text{min dose}=\dfrac{\text{0.1 mg}}{\text{1 kg}}\times\text{50 kg}=\text{5 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{0.2 mg}}{\text{1 kg}}\times\text{50 kg}=\text{10 mg}[/latex] Max daily total 25mg/day
2. Yes, this is a safe dose for an adult with GI hypomotility as it is in the range of 10-15 mg/dose. This dose is not calculated by weight.
3. Yes, this is a safe dose as 2.5 mg is in the safe range of 2.3-4.6 mg and does not exceed the daily maximum if all 3 prn doses were given. [latex]\text{min dose}=\dfrac{\text{0.1 mg}}{\text{1 kg}}\times\text{23 kg}=\text{2.3 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{0.2 mg}}{\text{1 kg}}\times\text{23 kg}=\text{4.6 mg}[/latex] Max daily total 11.6 mg/day.
4. Yes, this is a safe dose and does not exceed the maximum single dose. [latex]\text{min dose}=\dfrac{\text{0.04 mg}}{\text{1 kg}}\times\text{20 kg}=\text{0.8 mg}[/latex]
5. No, this is not a safe dose. 2.5 mg is below the safe range of 4.1-8.2 mg and therefore the drug will not be in therapeutic range and the child's N&V would persist. [latex]\text{min dose}=\dfrac{\text{0.1 mg}}{\text{1 kg}}\times\text{41 kg}=\text{4.1 mg}\\[/latex][latex]\text{max dose}=\dfrac{\text{0.2 mg}}{\text{1 kg}}\times\text{41 kg}=\text{8.2 mg}[/latex]

1. Yes, this is a safe dose. 20 mcg is in the safe range of 14-28 mcg. [latex]\text{min dose}=\dfrac{\text{1 mcg}}{\text{1 kg}}\times\text{14 kg}=\text{14 mcg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{2 mcg}}{\text{1 kg}}\times\text{14 kg}=\text{28 mcg/dose}[/latex]
2. No, this is a safe dose. 190 mcg is not in the safe range of 14.5-29 mcg. [latex]\text{min dose}=\dfrac{\text{1 mcg}}{\text{1 kg}}\times\text{38 kg}=\text{38 mcg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{4 mcg}}{\text{1 kg}}\times\text{38 kg}=\text{152 mcg/dose}[/latex]
3. Yes, this is a safe dose. 120 mcg is in the safe range of 59-147.5 mcg. [latex]\text{weight conversion}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{65 lbs}=\text{29.5 kg}\\[/latex][latex]\text{min dose}=\dfrac{\text{2 mcg}}{\text{1 kg}}\times\text{29.5 kg}=\text{59 mcg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{5 mcg}}{\text{1 kg}}\times\text{29.5 kg}=\text{147.5 mcg/dose}[/latex]
4. Yes, this is a safe dose. 9 mcg is in the safe range of 9-18 mcg. [latex]\text{min dose}=\dfrac{\text{1 mcg}}{\text{1 kg}}\times\text{9 kg}=\text{9 mcg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{2 mcg}}{\text{1 kg}}\times\text{9 kg}=\text{18 mcg/dose}[/latex]
5. Yes, this is a safe dose. 16 mcg is in the safe range of 14.5-29 mcg and does not exceed the maximum initial dose for children. [latex]\text{weight conversion}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{10 lbs}=\text{4.5 kg}\\[/latex][latex]\text{min dose}=\dfrac{\text{1 mcg}}{\text{1 kg}}\times\text{4.5 kg}=\text{4.5 mcg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{2 mcg}}{\text{1 kg}}\times\text{4.5 kg}=\text{9 mcg/dose}[/latex]

1. Yes, this is a safe dose. 9.75 mg/hr is in the safe range of 1.95-9.75 mg/hr with continuous infusion. [latex]\text{weight conversion}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{43 lbs}=\text{19.5 kg}\\[/latex][latex]\text{min dose}=\dfrac{\text{0.1 mg}}{\text{1 kg}}\times\text{19.5 kg}=\text{1.95 mg/hour}\\[/latex][latex]\text{max dose}=\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{19.5 kg}=\text{9.75 mg/dose}[/latex]
2. No, this is a safe dose but the route of what was ordered does not match what the patient needs. 20.4 mg is in the safe range of 20-80 mg/dose. [latex]\text{min dose}=\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{40 kg}=\text{20 mg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{2 mg}}{\text{1 kg}}\times\text{40 kg}=\text{80 mg/dose}[/latex]
3. Yes, this is a safe dose. 18 mg is in the safe range of 6-24 mg/dose. [latex]\text{min dose}=\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{12 kg}=\text{6 mg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{2 mg}}{\text{1 kg}}\times\text{12 kg}=\text{24 mg/dose}[/latex]
4. No, this is not a safe dose. 76 mg is not in the safe range of 8.65-34.6 mg/dose. [latex]\text{weight conversion}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{38 lbs}=\text{17.3 kg}\\[/latex][latex]\text{min dose}=\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{17.3 kg}=\text{8.65 mg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{2 mg}}{\text{1 kg}}\times\text{17.3 kg}=\text{34.6 mg/dose}[/latex]
5. No, 2.2 mg/dose would be correct dosing for continuous IV furosemide. The order is wrong because it is for intermittent IV dosing when the child needs continuous dosing of furosemide. [latex]\text{weight conversion}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{9.7 lbs}=\text{4.4 kg}\\[/latex][latex]\text{min dose}=\dfrac{\text{0.1 mg}}{\text{1 kg}}\times\text{4.4 kg}=\text{0.44 mg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{0.5 mg}}{\text{1 kg}}\times\text{4.4 kg}=\text{2.2 mg/dose}[/latex]

1. No, this is a safe dose. 3.7 mg is in the safe range of 1.68-6.72 mg but the timing is off. The order is for continuous IV dosing when the patient needs intermittent IV administration. [latex]\text{weight conversion}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{74 lbs}=\text{33.6 kg}\\[/latex][latex]\text{min dose}=\dfrac{\text{0.05 mg}}{\text{1 kg}}\times\text{33.6 kg}=\text{1.68 mg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{0.2 mg}}{\text{1 kg}}\times\text{33.6 kg}=\text{6.72 mg/dose}[/latex]
2. No, this would be a safe but ineffective dose, it is too low. There is no range, you would start at 2.25 mg/dose. The rest of the order is correct. [latex]\text{dose}=\dfrac{\text{0.125 mg}}{\text{1 kg}}\times\text{18 kg}=\text{2.25 mg/dose}[/latex]
3. No, the weight does not matter, 2.5-10 mg PO BID-TID is the generic range.
4. Yes, this is a safe dose. 1.5 mg is in the safe range of 0.87-1.81 mg/dose. [latex]\text{weight conversion}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{32 lbs}=\text{14.5 kg}\\[/latex][latex]\text{min dose}=\dfrac{\text{0.06 mg}}{\text{1 kg}}\times\text{14.5 kg}=\text{0.87 mg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{0.125 mg}}{\text{1 kg}}\times\text{14.5 kg}=\text{1.81 mg/dose}[/latex]
5. No, the patient needs intermittent IV not oral, like what was ordered. Though 1.5 mg is within the safe range of 0.5-2 mg/dose and Q6-8h PRN is corrent. [latex]\text{weight conversion}=\dfrac{\text{1 kg}}{\text{2.2 lbs}}\times\text{22 lbs}=\text{10 kg}\\[/latex][latex]\text{min dose}=\dfrac{\text{0.05 mg}}{\text{1 kg}}\times\text{10 kg}=\text{0.5 mg/dose}\\[/latex][latex]\text{max dose}=\dfrac{\text{0.2 mg}}{\text{1 kg}}\times\text{10 kg}=\text{2 mg/dose}[/latex]

1. [latex]\text{rate}=\dfrac{\text{500 mL}}{\text{2 hours}}=\text{250 mL/hr}[/latex]
2. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{12 hours}}=\text{83 mL/hr}[/latex]
3. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{4 hours}}=\text{250 mL/hr}[/latex]
4. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{2 hours}}=\text{500 mL/hr}[/latex]
5. [latex]\text{rate}=\dfrac{\text{250 mL}}{\text{30 minutes}}=\dfrac{\text{250 mL}}{\text{0.5 hours}}=\text{500 mL/hr}[/latex]
6. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{5 hours}}=\text{200 mL/hr}[/latex]
7. [latex]\text{rate}=\dfrac{\text{500 mL}}{\text{4 hours}}=\text{125 mL/hr}[/latex]
8. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{8 hours}}=\text{125 mL/hr}[/latex]
9. [latex]\text{rate}=\dfrac{\text{750 mL}}{\text{8 hours}}=\text{94 mL/hr}[/latex]
10. [latex]\text{rate}=\dfrac{\text{500 mL}}{\text{1.5 hours}}=\text{333 mL/hr}[/latex]

1. [latex]\text{rate}=\dfrac{\text{600 mL}}{\text{120 minutes}}=\dfrac{\text{600 mL}}{\text{2 hours}}=\text{300 mL/hr}[/latex]
2. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{8 hours}}=\text{125 mL/hr}[/latex]
3. [latex]\text{rate}=\dfrac{\text{750 mL}}{\text{4 hours}}=\text{187.5 mL/hr}[/latex]
4. [latex]\text{rate}=\dfrac{\text{500 mL}}{\text{210 minutes}}=\dfrac{\text{500 mL}}{\text{3.5 hours}}=\text{143 mL/hr}[/latex]
5. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{90 minutes}}=\dfrac{\text{1000}}{\text{1.5 hours}}=\text{666 mL/hr}[/latex]
6. [latex]\text{rate}=\dfrac{\text{800 mL}}{\text{6 hours}}=\text{133 mL/hr}[/latex]
7. [latex]\text{rate}=\dfrac{\text{500 mL}}{\text{2 hours}}=\text{250 mL/hr}[/latex]
8. [latex]\text{rate}=\dfrac{\text{800 mL}}{\text{4 hours}}=\text{200 mL/hr}[/latex]
9. [latex]\text{rate}=\dfrac{\text{250 mL}}{\text{30 minutes}}=\dfrac{\text{250}}{\text{0.5 hours}}=\text{500 mL/hr}[/latex]
10. [latex]\text{rate}=\dfrac{\text{500 mL}}{\text{6 hours}}=\text{83 mL/hr}[/latex]

1. [latex]\text{rate}=\dfrac{\text{10800 mL}}{\text{24 hours}}=\text{450 mL/hr}[/latex]
2. [latex]\text{rate}=\dfrac{\text{346 mL}}{\text{20 minutes}}=\dfrac{\text{346 mL}}{\text{0.33 hours}}=\text{1048 mL/hr}[/latex]
3. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{4 hours}}=\text{250 mL/hr}[/latex]
4. [latex]\text{rate}=\dfrac{\text{50 mL}}{\text{15 minutes}}=\dfrac{\text{50 mL}}{\text{0.25 hours}}=\text{200 mL/hr}[/latex]
5. [latex]\text{rate}=\dfrac{\text{50 mL}}{\text{20 minutes}}=\dfrac{\text{50 mL}}{\text{0.33 hours}}=\text{151 mL/hr}[/latex]
6. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{4.5 hours}}=\text{222.2 mL/hr}[/latex]
7. [latex]\text{rate}=\dfrac{\text{50 mL}}{\text{30 minutes}}=\dfrac{\text{50 mL}}{\text{0.5 hours}}=\text{100 mL/hr}[/latex]
8. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{10 hours}}=\text{100 mL/hr}[/latex]
9. [latex]\text{rate}=\dfrac{\text{50 mL}}{\text{30 minutes}}=\dfrac{\text{50 mL}}{\text{0.5 hours}}=\text{100 mL/hr}[/latex]
10. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{4 hours}}=\text{250 mL/hr}[/latex]

1. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 125}}{\text{60 min}}=\text{21}[/latex]
2. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 80}}{\text{60 min}}=13[/latex]
3. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 150}}{\text{60 min}}=\text{25}[/latex]
4. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{60 gtts x 25}}{\text{60 min}}=\text{25}[/latex]
5. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{60 gtts x 35}}{\text{60 min}}=\text{35}[/latex]
6. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 100}}{\text{60 min}}=17[/latex]
7. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 130}}{\text{60 min}}=\text{22}[/latex]
8. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{60 gtts x 15}}{\text{60 min}}=15[/latex]
9. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 55}}{\text{60 min}}=9[/latex]
10. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 200}}{\text{60 min}}=\text{33}[/latex]

1. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{4 hours}}=\text{250 mL/hr}=\dfrac{\text{10 gtts x 250}}{\text{60 min}}=\text{42}[/latex]
2. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{20 gtts x 70}}{\text{60 min}}=\text{23}[/latex]
3. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{60 gtts x 25}}{\text{60 min}}=\text{25}[/latex]
4. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 175}}{\text{60 min}}=\text{29}[/latex]
5. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 75}}{\text{60 min}}=12[/latex]
6. [latex]\text{rate}=\dfrac{\text{500 mL}}{\text{2 hours}}=\text{250 mL/hr}=\dfrac{\text{10 gtts x 250}}{\text{60 min}}=\text{42}[/latex]
7. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 135}}{\text{60 min}}=\text{22}[/latex]
8. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{8 hours}}=\text{125 mL/hr}=\dfrac{\text{10 gtts x 125}}{\text{60 min}}=\text{21}[/latex]
9. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{15 gtts x 40}}{\text{60 min}}=10[/latex]
10. [latex]\dfrac{\text{gtts}}{\text{min}}= \dfrac{\text{10 gtts x 60}}{\text{60 min}}=10[/latex]

1. [latex]\text{rate}=\text{50 mL/hr}=\dfrac{\text{10 gtts x 50}}{\text{60 min}}=\text{8.3}[/latex]
2. [latex]\text{rate}=\text{175 mL/hr}=\dfrac{\text{60 gtts x 175}}{\text{60 min}}=\text{175}[/latex]
3. [latex]\text{rate}=\dfrac{\text{500 mL}}{\text{3 hours}}=\text{166 mL/hr}=\dfrac{\text{60 gtts x 166}}{\text{60 min}}=\text{166}[/latex]
4. [latex]\text{rate}=\text{250 mL/hr}=\dfrac{\text{10 gtts x 250}}{\text{60 min}}=\text{41.6}[/latex]
5. [latex]\text{rate}=\dfrac{\text{1000 mL}}{\text{6 hours}}=\text{166.6 mL/hr}=\dfrac{\text{10 gtts x 166.6}}{\text{60 min}}=\text{27.2}[/latex]
6. [latex]\text{rate}=\text{75 mL/hr}=\dfrac{\text{10 gtts x 75}}{\text{60 min}}=\text{12.5}[/latex]
7. [latex]\text{rate}=\dfrac{\text{250 mL}}{\text{3 hours}}=\text{83.3 mL/hr}=\dfrac{\text{10 gtts x 83.3}}{\text{60 min}}=\text{13.8}[/latex]
8. [latex]\text{rate}=\text{100 mL/hr}=\dfrac{\text{20 gtts x 100}}{\text{60 min}}=\text{33.3}[/latex]
9. [latex]\text{rate}=\text{30 mL/hr}=\dfrac{\text{60 gtts x 30}}{\text{60 min}}=\text{30}[/latex]
10. [latex]\text{rate}=\dfrac{\text{50 mL}}{\text{30 min}}=\text{100 mL/hr}=\dfrac{\text{15 gtts x 100}}{\text{60 min}}=\text{25}[/latex]

1. [latex]\text{infusion time}=\dfrac{\text{140}}{\text{70}}=\text{2 hrs}[/latex]
2. [latex]\text{infusion time}=\dfrac{\text{587}}{\text{125}}=\text{4.696 hr}=\text{4 hr 42 min}[/latex]
3. [latex]\text{infusion time}=\dfrac{\text{225}}{\text{150}}=\text{1.5 hr}=\text{1 hr 30 min}[/latex]
4. [latex]\text{infusion time}=\dfrac{\text{850}}{\text{100}}=\text{8.5 hrs}=\text{8 hr 30 min}[/latex]
5. [latex]\text{infusion time}=\dfrac{\text{320}}{\text{80}}=\text{4 hrs}[/latex]
6. [latex]\text{infusion time}=\dfrac{\text{725}}{\text{125}}=\text{5.8 hrs}=\text{5 hr 48 min}[/latex]
7. [latex]\text{infusion time}=\dfrac{\text{409}}{\text{80}}=\text{5.1125 hrs}=\text{5 hr 7min}=\text{0052 hours}[/latex]
8. [latex]\text{infusion time}=\dfrac{\text{340}}{\text{125}}=\text{2.72 hrs}=\text{2 hr 43 min}[/latex]
9. [latex]\text{infusion time}=\dfrac{\text{385}}{\text{100}}=\text{3.85 hrs}=\text{3 h 51 min hrs}=\text{1126 hours}[/latex]
10. [latex]\text{infusion time}=\dfrac{\text{300}}{\text{500}}=\text{0.6 hrs}=\text{36 min}=\text{1501}=\text{1500 hours}[/latex] *to easily convert a portion of an hour to minutes, multiply 60 by the portion of the hour. 2.35 hours converts to 2 hours and 21 minutes [latex]0.35\times60=21[/latex]

1. [latex]\text{infusion time}=\dfrac{\text{346}}{\text{75}}=\text{4.613 hrs}=\text{4 hr 37 min}[/latex]
2. [latex]\text{infusion time}=\dfrac{\text{115}}{\text{250}}=\text{0.46 hr}=\text{28 min}[/latex]
3. [latex]\text{infusion time}=\dfrac{\text{453}}{\text{33}}=\text{13.7 hr}=\text{13 hr 44 min}[/latex]
4. [latex]\text{infusion time}=\dfrac{\text{253}}{\text{80}}=\text{2.94 hrs}=\text{2 hr 56 min}[/latex]
5. [latex]\text{infusion time}=\dfrac{\text{167}}{\text{125}}=\text{1.336 hrs}=\text{1 hr 20 min}[/latex]
6. [latex]\text{infusion time}=\dfrac{\text{245}}{\text{100}}=\text{2.45 hrs}=\text{2 hr 27 min}[/latex]
7. [latex]\text{infusion time}=\dfrac{\text{374}}{\text{55}}=\text{6.8 hrs}=\text{6 hr 48 min}[/latex] [latex]\text{07:45 + 6 hr}=\text{13:45 + 48 min}=\text{14:33 is when physio should expect the patient}[/latex]
8. [latex]\text{infusion time}=\dfrac{\text{238}}{\text{500}}=\text{0.476 hrs}=\text{29 min}[/latex]
9. [latex]\text{infusion time}=\dfrac{\text{784}}{\text{200}}=\text{3.92 hrs}=\text{3 h 55 min hrs}[/latex]
10. [latex]\text{infusion time}=\dfrac{\text{675}}{\text{83}}=\text{8.1325 hrs}=\text{8 hr 8 min}[/latex]

1. Descriptive. Results are summarized.
2. Inferential. The nurse manager is comparing two variables, people who have hip surgery and have a diagnosis of osteoporosis, in order to make a prediction.
3. Descriptive. Results are summarized.
4. Inferential. The pharmacist is comparing variables, the type of beta blocker and the adverse effects experienced by users, in order to make a conclusion about which one to purchase.
5. Inferential. The student nurse is comparing variables, nursing schools and students satisfaction.

1. Discrete. Discharges per day are counted in whole numbers.
2. Nominal. The types of dressings are described in words (hydrocolloid, semi-occlusive, etc.)
3. Continuous. The number of minutes can include a partial measure of a minute. (eg. 3.5 minutes)
4. Ordinal. Letter grades are a system of ranking.
5. Continuous. The number of kilograms can include a partial measure (eg. 127.9 kg)
6. Discrete. The number of devices are counted in whole numbers.
7. Ordinal. The Likert scale measurements area a system of ranking.
8. Nominal. The colours of scrub tops are described in words.
9. Continuous. The number of kilograms can include a partial measure (eg. 0.94 kg)
10. Discrete. Pumps are counted in whole numbers.

1. Nominal. Eye colour is described in words with distinct meanings from one another.
2. Ordinal. There is a ranking system but no specific numerical value between ranks.
3. Continuous. The measurement of height can include a decimal number.
4. Ordinal. There is a rank, but not a specific numerical value attached.
5. Nominal. Walking aids are described with words with distinct meanings from one another.
6. Ordinal. Types of degrees (bachelor's, master's, doctorate) belong to a ranking system.
7. Ordinal and interval-there are faces, words and a number with each pain rating.
8. Discrete. The number of textbooks is counted in whole numbers.
9. Continuous. Cost can be counted in portions of dollars.
10. Continuous. Zero has an absolute value and the number of minutes can have a partial value.

1. 18 (this value occurs 3 times, no other value occurs this many times).
2. 0 and 17 (both of these values occur twice).
3. 5 (this value is repeated the most).
4. There is no mode, no value is repeated.
5. 37 (this value occurs twice, no other value is repeated).

1. 21
2. 8.5
3. 4
4. 13
5. 50

[latex]\dfrac{n+1}{2}=\text{location of median}[/latex]

In a data set with an odd number of values the median will equal the number at this location. In a data set with an even number of values, the median is equivalent to the mean of the values to the right and left of this location.

[latex]\text{value of median}= \dfrac{{a}+{b}}{2}[/latex]

1. [latex]\begin{aligned}[t] \text{location of median} &= \dfrac{12+1}{2} \\ \\ &= \dfrac{13}{2} \\ \\ &=6.5\end{aligned}[/latex][latex]\begin{aligned}[t] \text{value of median} &= \dfrac{{a}+{b}}{2} \\ \\ &= \dfrac{20+22}{2} \\ \\ &=21\end{aligned}[/latex]
2. [latex]\begin{aligned}[t] \text{location of median} &= \dfrac{10+1}{2} \\ \\ &= \dfrac{11}{2} \\ \\ &=6.5\end{aligned}[/latex][latex]\begin{aligned}[t] \text{value of median} &= \dfrac{{a}+{b}}{2} \\ \\ &= \dfrac{8+9}{2} \\ \\ &=8.5\end{aligned}[/latex]
3. [latex]\begin{aligned}[t] \text{location of median} &= \dfrac{21+1}{2} \\ \\ &= \dfrac{22}{2} \\ \\ &=11\end{aligned}[/latex] [latex]\text{Count to the 11th value.}[/latex]
4. [latex]\begin{aligned}[t] \text{location of median} &= \dfrac{9+1}{2} \\ \\ &= \dfrac{10}{2} \\ \\ &=5\end{aligned}[/latex] [latex]\text{Count to the 5th value.}[/latex]
5. [latex]\begin{aligned}[t] \text{location of median} &= \dfrac{12+1}{2} \\ \\ &= \dfrac{13}{2} \\ \\ &=6.5\end{aligned}[/latex][latex]\begin{aligned}[t] \text{value of median} &= \dfrac{{a}+{b}}{2} \\ \\ &= \dfrac{40+60}{2} \\ \\ &=50\end{aligned}[/latex]

[latex]\text{Use the following formula to calculate the mean:}[/latex]

[latex]\text{mean}=\dfrac{\sum({{x_1}+{x_2}+...+{x_x}})}{n}[/latex]

1. 21.83 [latex]\begin{equation}\begin{split} \text{mean} &= \dfrac{12+16+18+18+18+20+22+25+27+27+29+30}{12} \\ \\ \text{mean} &= \dfrac{262}{12} \\ \\ &=21.83\end{split}\end{equation}[/latex]
2. 10.5 [latex]\begin{equation}\begin{split} \text{mean} &= \dfrac{0+0+2+5+8+9+15+17+17+32}{10} \\ \\ \text{mean} &= \dfrac{105}{10} \\ \\ &=10.5\end{split}\end{equation}[/latex]
3. 3.95 [latex]\begin{equation}\begin{split} \text{mean} &= \dfrac{1+1+1+1+2+2+2+3+4+4+4+5+5+5+5+5+6+6+7+7+7}{21} \\ \\ \text{mean} &= \dfrac{83}{21} \\ \\ &=3.95\end{split}\end{equation}[/latex]
4. 12.78 [latex]\begin{equation}\begin{split} \text{mean} &= \dfrac{4+6+8+12+13+16+17+19+20}{9} \\ \\ \text{mean} &= \dfrac{115}{9} \\ \\ &=12.78\end{split}\end{equation}[/latex]
5. 68.5 [latex]\begin{equation}\begin{split} \text{mean} &= \dfrac{30, 32, 35, 37, 37, 40, 60, 77, 88, 99, 137, 150}{12} \\ \\ \text{mean} &= \dfrac{822}{12} \\ \\ &=68.5\end{split}\end{equation}[/latex]

1. [latex]\begin{aligned}[t] \text{range}=30-12 \\ \\ &=18\end{aligned}[/latex]
2. [latex]\begin{aligned}[t] \text{range}=32-0 \\ \\ &=32\end{aligned}[/latex]
3. [latex]\begin{aligned}[t] \text{range}=7-1 \\ \\ &=6\end{aligned}[/latex]
4. [latex]\begin{aligned}[t] \text{range}=20-4 \\ \\ &=16\end{aligned}[/latex]
5. [latex]\begin{aligned}[t] \text{range}=150-30 \\ \\ &=120\end{aligned}[/latex]

1. If the standard deviation is small, it means the numbers in the data set are closer together, so the weights will have a small amount of variation.
2. a. Method B has the most consistent rise in blood glucose, as the standard deviation is the smallest. The smallest standard deviation has the least amount of variability in values. b. Method A would have the highest blood glucose reading at exactly one standard deviation above the mean.

[latex]6+1.07=7.07[/latex] [latex]5.2+0.8=6.0[/latex] [latex]4.9+1.21=6.11[/latex]

1. The minimum, the first quartile, the median, the third quartile, and the maximum.
2. A boxplot.
3. The whiskers of a boxplot extend from Q3 to the maximum number and from Q1 to the minimum number.
4. Each outlier is noted as a single dot outside of the whiskers.
5. 10, 15, 21, 37, 78 The minimum and maximum are the smallest and largest numbers in the data set. To find Q1: [latex]\begin{equation}\begin{split} \text{location of Q1} &= \dfrac{1}{4}\times{(n+1)} \\ \\ &= \dfrac{22+1}{4} \\ \\ &=5.75\end{split}\end{equation}[/latex][latex]\begin{equation}\begin{split} \text{value of Q1} &= \dfrac{{a}+{b}}{2} \\ \\ &= \dfrac{15+15}{2} \\ \\ &=15\end{split}\end{equation}[/latex] To find the median: [latex]\begin{equation}\begin{split} \text{location of median} &= \dfrac{n+1}{2} \\ \\ &= \dfrac{22+1}{2} \\ \\ &=11.5\end{split}\end{equation}[/latex][latex]\begin{equation}\begin{split} \text{value of median} &= \dfrac{{a}+{b}}{2} \\ \\ &= \dfrac{20+22}{2} \\ \\ &=21\end{split}\end{equation}[/latex] To find Q3: [latex]\begin{equation}\begin{split} \text{location of Q3} &= \dfrac{3}{4}\times{(n+1)} \\ \\ &= \dfrac{3}{4}\times{(22+1)} \\ \\ &= \dfrac{3}{4}\times{23} \\ \\ &= \dfrac{69}{4} \\ \\ &=17.25\end{split}\end{equation}[/latex][latex]\begin{equation}\begin{split} \text{value of Q3} &= \dfrac{{a}+{b}}{2} \\ \\ &= \dfrac{36+38}{2} \\ \\ &=37\end{split}\end{equation}[/latex]
6. 
7. 27, 58.5, 67, 77.5, 102 The minimum and maximum are the smallest and largest numbers in the data set. To find Q1: [latex]\begin{equation}\begin{split} \text{location of Q1} &= \dfrac{1}{4}\times{(n+1)} \\ \\ &= \dfrac{21+1}{4} \\ \\ &=5.5\end{split}\end{equation}[/latex][latex]\begin{equation}\begin{split} \text{value of Q1} &= \dfrac{{a}+{b}}{2} \\ \\ &= \dfrac{58+59}{2} \\ \\ &=58.5\end{split}\end{equation}[/latex] To find the median: [latex]\begin{equation}\begin{split} \text{location of median} &= \dfrac{n+1}{2} \\ \\ &= \dfrac{21+1}{2} \\ \\ &=11\end{split}\end{equation}[/latex] To find Q3: [latex]\begin{equation}\begin{split} \text{location of Q3} &= \dfrac{3}{4}\times{(n+1)} \\ \\ &= \dfrac{3}{4}\times{(21+1)} \\ \\ &= \dfrac{3}{4}\times{22} \\ \\ &= \dfrac{66}{4} \\ \\ &=16.5\end{split}\end{equation}[/latex][latex]\begin{equation}\begin{split} \text{value of Q3} &= \dfrac{{a}+{b}}{2} \\ \\ &= \dfrac{77+78}{2} \\ \\ &=77.5\end{split}\end{equation}[/latex]
8. 0, 1, 2, 3, 12 The minimum and maximum are the smallest and largest numbers in the data set. To find Q1: [latex]\begin{equation}\begin{split} \text{location of Q1} &= \dfrac{1}{4}\times{(n+1)} \\ \\ &= \dfrac{19+1}{4} \\ \\ &=5\end{split}\end{equation}[/latex] To find the median: [latex]\begin{equation}\begin{split} \text{location of median} &= \dfrac{n+1}{2} \\ \\ &= \dfrac{19+1}{2} \\ \\ &=10\end{split}\end{equation}[/latex] To find Q3: [latex]\begin{equation}\begin{split} \text{location of Q3} &= \dfrac{3}{4}\times{(n+1)} \\ \\ &= \dfrac{3}{4}\times{(19+1)} \\ \\ &= \dfrac{3}{4}\times{20} \\ \\ &= \dfrac{60}{4} \\ \\ &=15\end{split}\end{equation}[/latex]
9. 1, 2, 3, 5, 13 The minimum and maximum are the smallest and largest numbers in the data set. To find Q1: [latex]\begin{equation}\begin{split} \text{location of Q1} &= \dfrac{1}{4}\times{(n+1)} \\ \\ &= \dfrac{19+1}{4} \\ \\ &=5\end{split}\end{equation}[/latex] To find the median: [latex]\begin{equation}\begin{split} \text{location of median} &= \dfrac{n+1}{2} \\ \\ &= \dfrac{19+1}{2} \\ \\ &=10\end{split}\end{equation}[/latex] To find Q3: [latex]\begin{equation}\begin{split} \text{location of Q3} &= \dfrac{3}{4}\times{(n+1)} \\ \\ &= \dfrac{3}{4}\times{(19+1)} \\ \\ &= \dfrac{3}{4}\times{20} \\ \\ &= \dfrac{60}{4} \\ \\ &=15\end{split}\end{equation}[/latex]
10. 

1. The last digit in the value is always represented as a leaf. The stem includes the numbers to the left of the last digit. Stems can have more than one digit while a leaf is always a single digit. A vertical line can divide the stem from the leaves. The stem is written on the left of the vertical line and the leaf is written to the right.
2. Continuous data, or data with decimals.
3. 
4. 
5. A histogram would be an appropriate type of graph as this data set includes data which is continuous.
6. 1.0, 1.4, 1.5, 1.7, 1.8, 2.1, 2.2, 2.2, 2.4, 2.6, 2.7, 2.9, 3.2, 3.5, 3.6, 3.9, 4.4, 4.7
7. The density curve will have a shape that looks like a line has been drawn through the tops of the columns of the histogram. If the histogram bin sizes (the width of columns on x axis) are very small, the density curve will follow the tops quite closely.

1. [latex]625[/latex]
2. [latex]128[/latex]
3. [latex]16[/latex]
4. [latex]512[/latex]
5. [latex]46656[/latex]
6. [latex]20736[/latex]
7. [latex]14348907[/latex]
8. [latex]59049[/latex]
9. [latex]1000[/latex]
10. [latex]6561[/latex]

1. [latex]0.0625[/latex]
2. [latex]0.01[/latex]
3. [latex]0.015625[/latex]
4. [latex]0.00041649312786339[/latex]
5. [latex]0.03125[/latex]
6. [latex]0.00032[/latex]
7. [latex]0.0041152263374486[/latex]
8. [latex]0.0029154518950437[/latex]
9. [latex]0.015625[/latex]
10. [latex]0.0084322648810503[/latex]

1. [latex]28000[/latex]
2. [latex]0.00000734[/latex]
3. [latex]49000000[/latex]
4. [latex]5200[/latex]
5. [latex]0.000154[/latex]
6. [latex]0.00000006241[/latex]
7. [latex]590000[/latex]
8. [latex]0.0000327[/latex]
9. [latex]440[/latex]
10. [latex]8623000[/latex]

1. 20
2. 6
3. 8
4. 4
5. 9
6. 27
7. 2
8. 1,000
9. 55
10. 125