A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 8x = 2700

(Type an integer or a simplified fraction)

337.5 mg

Step-by-step explanation:

A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours

Hence: the number of doses or times the antibiotic would be administered =

48 hours/6 hours = 8 doses(times)

The amount of antibiotic that should be given in each dose is:

48 hours = 2700 mg

6 hours = x mg

Cross Multiply

48x = 2700 mg × 6 hours

x = 2700mg × 6/48

x = 2700/8

x = 337.5 mg

a negative exponent is translated as follows:

so, we have