Consider the following.
A dosage of 0.4 g has been ordered. The strength available is 500 mg per 1.4 mL .
Let desired, have, quantity, and the unknown. Give the values of and in and the value of in , using unit conversions if necessary.

Apply the formula method to calculate the dosage (in mililiters). Express your answer as a decimal fraction to the nearest tenth. 0.01 mL
ebeak

Ask by Ross Vaughn. in the United States

Mar 20,2025

Question

Consider the following.
A dosage of 0.4 g has been ordered. The strength available is 500 mg per 1.4 mL .
Let desired, have, quantity, and the unknown. Give the values of and in and the value of in , using unit conversions if necessary.

Apply the formula method to calculate the dosage (in mililiters). Express your answer as a decimal fraction to the nearest tenth. 0.01 mL
ebeak

Ask by Ross Vaughn. in the United States

Mar 20,2025

UpStudy AI · Accepted Answer

1. Convert the ordered dosage from grams to milligrams:
   $$
   D = 0.4 \, \text{g} \times 1000 \, \frac{\text{mg}}{\text{g}} = 400 \, \text{mg}.
   $$

2. The given available strength is:
   $$
   H = 500 \, \text{mg} \quad \text{per} \quad Q = 1.4 \, \text{mL}.
   $$

3. Set up the proportion using the formula:
   $$
   \frac{D}{H} = \frac{X}{Q} \quad \Rightarrow \quad X = \frac{D \times Q}{H}.
   $$

4. Substitute the known values:
   $$
   X = \frac{400 \, \text{mg} \times 1.4 \, \text{mL}}{500 \, \text{mg}}.
   $$

5. Perform the multiplication and division:
   $$
   400 \times 1.4 = 560, \quad \text{thus} \quad X = \frac{560}{500} \, \text{mL} = 1.12 \, \text{mL}.
   $$

6. Round to the nearest tenth:
   $$
   X \approx 1.1 \, \text{mL}.
   $$
The dosage is 400 mg, the available strength is 500 mg per 1.4 mL, and the required quantity is 1.1 mL.

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