A hospitalized child is to receive 75 mg of acetaminophen for fever control. How much will the nurse administer if the acetaminophen concentration is 40 mg per 0.4 ml ? Record the answer using two decimal places.

To find out how much the nurse will administer, we first need to determine the volume of acetaminophen required for 75 mg. Given that the concentration is 40 mg per 0.4 ml, we can set up a proportion: 1. First, find the amount of milliliters needed for 75 mg: \[ \text{Volume (ml)} = \frac{\text{Desired dose (mg)}}{\text{Concentration (mg/ml)}} \] The concentration can be converted to mg/ml: \[ \text{Concentration} = \frac{40 \, \text{mg}}{0.4 \, \text{ml}} = 100 \, \text{mg/ml} \] Now, replacing the values: \[ \text{Volume (ml)} = \frac{75 \, \text{mg}}{100 \, \text{mg/ml}} = 0.75 \, \text{ml} \] The nurse will administer **0.75 ml** of acetaminophen.