The nurse is preparing a dose of 10 mg of teriparatide. The medication is labeled 760 mcg/2.4 mL. How many mL should the nurse administer? (Enter numeric value only. If rounding is required, round to the nearest tenth.)
The Correct Answer is ["31.6"]
The correct answer is : 31.6 mL
Let’s calculate this step by step:
Step 1: Convert 10 mg of teriparatide to mcg. We know that 1 mg = 1000 mcg. So, 10 mg = 10 × 1000 mcg = 10000 mcg.
Step 2: The medication is labeled as 760 mcg/2.4 ml. This means that 760 mcg of the medication is present in 2.4 mL.
Step 3: Now, we need to find out how many ml will contain 10000 mcg of the medication. We can set up a proportion to solve this:
(760 mcg / 2.4 ml) = (10000 mcg / x mL)
Step 4: Solving for x, we cross-multiply and divide:
x ml = (10000 mcg × 2.4 ml) ÷ 760 mcg
Step 5: Calculate the result:
x ml = 24000 mcg·ml ÷ 760 mcg = 31.57894736842105 mL
Step 6: If rounding is required, round to the nearest tenth:
x ml = 31.6 mL
So, the nurse should administer 31.6 mL of the medication.
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