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An adolescent receives a prescription for an injection of s-matriptan succinate 4 mg subcutaneously for a migraine headache. Using a vial labeled, 6 mg/ 0.5 ml, how many ml should the nurse administer? (Enter the numerical value only. If rounding is required, round to the nearest hundredth.

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Final answer:

To calculate the required volume of s-matriptan succinate for a 4 mg dose using a vial labeled 6 mg/0.5 ml, a simple ratio is used and solved by cross-multiplication. After calculations, the nurse should administer 0.33 ml of the medication, which is rounded to the nearest hundredth.

Step-by-step explanation:

The student is tasked with calculating the required volume of s-matriptan succinate for an injection. The prescription calls for a 4 mg dose, and it's provided in a vial labeled as 6 mg in 0.5 ml. To find how many milliliters should be administered, we can set up a simple ratio:

6 mg is to 0.5 ml

as

4 mg is to x ml

By cross-multiplication, we get:

6 mg * x ml = 4 mg * 0.5 ml

Now solving for x:

x = (4 mg * 0.5 ml) / 6 mg

x = 2 mg*ml / 6 mg

x = 0.3333 ml

After rounding to the nearest hundredth, we obtain:

x = 0.33 ml

So, the nurse should administer 0.33 ml of s-matriptan succinate.

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