Question

solve the following parenteral dosage problem.
order: phenergen 45 milligrams
have: phenergen 75 milligrams per milliliter
give: __________. shade the syringe.
how many milliliters should be given?
milliliter(s)
(type an integer or decimal rounded to the nearest hundredth as needed.)

Explanation:

Step1: Use the dosage formula

The formula for calculating the volume \(V\) is \(V=\frac{D}{H}\times Q\), where \(D\) is the desired dose (45 mg), \(H\) is the dose on - hand (75 mg/mL), and \(Q\) is the quantity (1 mL, since the concentration is given as 75 mg per 1 mL).

Step2: Substitute the values into the formula

Substitute \(D = 45\), \(H=75\), and \(Q = 1\) into the formula \(V=\frac{D}{H}\times Q\). So \(V=\frac{45}{75}\times1\).

Step3: Simplify the fraction

\(\frac{45}{75}=\frac{45\div15}{75\div15}=\frac{3}{5}=0.6\)

Answer:

\(0.6\)