Question

a licensed nurse practitioner is instructed to give a patient 2100 milligrams of an antibiotic over a period of 48 hours. if the antibiotic is to be given every 2 hours starting immediately, how much antibiotic should be given in each dose? to answer this question, solve the equation 24x = 2100.

□ mg
(type an integer or a simplified fraction.)

Explanation:

Step1: Isolate the variable \(x\)

Divide both sides of the equation \(24x = 2100\) by \(24\).
$$x=\frac{2100}{24}$$

Step2: Simplify the fraction

Simplify \(\frac{2100}{24}\). First, find the greatest common divisor (GCD) of \(2100\) and \(24\). The GCD of \(2100\) and \(24\) is \(12\).
Divide the numerator and denominator by \(12\): \(\frac{2100\div12}{24\div12}=\frac{175}{2}= 87.5\)

Answer:

\(87.5\)