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a patients order is 30 milligrams of a drug. available in stock is 40 m…

Question

a patients order is 30 milligrams of a drug. available in stock is 40 milligrams in 1 milliliter of liquid. how many milliliters should be administered? the patient should be administered milliliters of the drug. (type an integer or decimal rounded to the nearest hundredth as needed.)

Explanation:

Step1: Set up proportion

Let $x$ be the volume in milliliters to be administered. We have the proportion $\frac{30\text{ mg}}{x\text{ mL}}=\frac{40\text{ mg}}{1\text{ mL}}$.

Step2: Cross - multiply

$40x = 30\times1$.

Step3: Solve for $x$

$x=\frac{30}{40}= 0.75$.

Answer:

$0.75$