Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

now, test yourself! 1. $4.7\\ mg = \\underline{quadquad}\\ mcg$ 2. $400…

Question

now, test yourself!

  1. $4.7\\ mg = \underline{quadquad}\\ mcg$
  2. $400\\ ml = \underline{quadquad}\\ l$
  3. $60\\ ml \approx \underline{quadquad}\\ t$
  4. $4\\ t \approx \underline{quadquad}\\ ml$
  5. $50\\ lb \approx \underline{quadquad}\\ kg$ (round off to the nearest tenth)
  6. $50\\ kg \approx \underline{quadquad}\\ lb$
  7. $3.5\\ pt \approx \underline{quadquad}\\ oz$
  8. $4\\ t = \underline{quadquad}\\ oz$
  9. $7.5\\ cm \approx \underline{quadquad}\\ in$
  10. how many tablespoons are contained in the lexapro container whose label is shown in • figure 5.6?

figure 5.6
drug label for lexapro.

  1. a patient is 5 feet 9 inches tall. find the height of the patient in centimeters.
  2. find the weight in grams of a 7 - pound infant (round off to the nearest gram).
  3. harold weighs 250 pounds now. if harold goes on a diet and loses 30 pounds, then how many kilograms will he weigh?
  4. use • figure 5.7 to determine how many teaspoons of namenda will contain 2 mg of the drug.
  5. a nurse administers kcl 30 ml by mouth daily to mrs. m. this patient is to be discharged, and she must continue to take the medication at home. how many tablespoons should she be advised to take daily?
  6. read the information in • figure 5.8 and determine the number of teaspoons of the bronchodilator metaproterenol you will administer if the label reads “10 mg/5 ml.”
  7. a patient drank 12 ounces of orange juice. how many milliliters did the patient drink?

Explanation:

Step1: Convert mg to mcg

$4.7 \text{ mg} = 4.7 \times 1000 = 4700 \text{ mcg}$

Step2: Convert mL to L

$400 \text{ mL} = \frac{400}{1000} = 0.4 \text{ L}$

Step3: Convert mL to tablespoons (t)

$60 \text{ mL} = \frac{60}{15} = 4 \text{ t}$

Step4: Convert tablespoons (T) to mL

$4 \text{ T} = 4 \times 15 = 60 \text{ mL}$

Step5: Convert lb to kg (round to tenth)

$50 \text{ lb} = 50 \times 0.4536 \approx 22.7 \text{ kg}$

Step6: Convert kg to lb

$50 \text{ kg} = 50 \div 0.4536 \approx 110.2 \text{ lb}$

Step7: Convert pints (pt) to oz

$3.5 \text{ pt} = 3.5 \times 16 = 56 \text{ oz}$

Step8: Convert tablespoons (T) to oz

$4 \text{ T} = 4 \times 0.5 = 2 \text{ oz}$

Step9: Convert cm to inches (in)

$7.5 \text{ cm} = 7.5 \times 0.3937 \approx 2.95 \text{ in}$

Step10: Calculate tbsp in Lexapro

Total volume: $240 \text{ mL}$; $1 \text{ tbsp}=15 \text{ mL}$
$\frac{240}{15} = 16 \text{ tablespoons}$

Step11: Convert height to cm

$5 \text{ ft }9 \text{ in} = (5 \times 12 + 9) = 69 \text{ in}$
$69 \times 2.54 = 175.26 \text{ cm}$

Step12: Convert lb to grams (round to gram)

$7 \text{ lb} = 7 \times 453.592 \approx 3175 \text{ g}$

Step13: Calculate post-diet kg weight

Post-diet lb: $250 - 30 = 220 \text{ lb}$
$220 \times 0.4536 \approx 99.8 \text{ kg}$

Step14: Calculate tsp for 2mg Namenda

(Assuming Namenda concentration: 1mg/5mL, same ratio logic)
For 2mg: $\frac{2}{1} \times 5 = 10 \text{ mL}$; $\frac{10}{5} = 2 \text{ tsp}$

Step15: Convert mL to tbsp for KCl

$\frac{30}{15} = 2 \text{ tablespoons}$

Step16: Calculate tsp for metaproterenol

Dose needed: 10mg; concentration 10mg/5mL
$\frac{5}{5} = 1 \text{ teaspoon}$

Step17: Convert oz to mL

$12 \times 29.5735 \approx 354.88 \text{ mL}$

Answer:

  1. $4700$
  2. $0.4$
  3. $4$
  4. $60$
  5. $22.7$
  6. $110.2$
  7. $56$
  8. $2$
  9. $2.95$
  10. $16$ tablespoons
  11. $175.26$ cm
  12. $3175$ g
  13. $99.8$ kg
  14. $2$ teaspoons
  15. $2$ tablespoons
  16. $1$ teaspoon
  17. $354.88$ mL