Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the following parenteral dosage problem. the physician has ordere…

Question

solve the following parenteral dosage problem. the physician has ordered decadron 5 milligrams from a vial labeled 8 milligrams per milliliter. give: ____. shade the syringe. milliliter(s) (simplify your answer. type an integer or decimal rounded to the nearest hundredth as needed.)

Explanation:

Step1: Set up the proportion

Let \(x\) be the volume in milliliters. The proportion is \(\frac{5\space mg}{x\space mL}=\frac{8\space mg}{1\space mL}\).

Step2: Solve for \(x\)

Cross - multiply: \(8x = 5\times1\). Then \(x=\frac{5}{8}\).
Calculate \(\frac{5}{8}=0.625\approx0.63\) (rounded to the nearest hundredth).

Answer:

\(0.63\)