Question

1. a 125 lb patient is to receive a drug at a rate of 0.300 mg drug per 1.00 kg of body weight. if the drug is supplied as a solution containing 5.00 mg drug/ml solution, how many milliliters of drug solution should the patient receive?
2. how much is my tutoring budget for the 15 - week semester if i have 6 tutors who works 5 hours a week and makes $12 an hour?
3. convert the density of mercury (13.6 g/ml) to pounds per cubic feet.
4. a person can sort 375 sheets of paper in 1 hour. if there are 225 sheets in 1 inch, how long will it take her to file 0.75 m of loose sheets?

Explanation:

13.

Step1: Convert patient weight to kg

1 lb = 0.453592 kg, so a 125 lb patient's weight in kg is $125\times0.453592 = 56.699$ kg.

Step2: Calculate the amount of drug needed

The drug is given at a rate of 0.300 mg/kg. So the amount of drug needed is $0.300\times56.699 = 17.0097$ mg.

Step3: Calculate the volume of the drug solution

The drug solution has a concentration of 5.00 mg/mL. So the volume of the solution is $\frac{17.0097}{5.00}=3.40194\approx3.40$ mL.

Step1: Calculate the total number of hours worked per week

There are 6 tutors, each working 5 hours a week. So the total hours per week is $6\times5 = 30$ hours.

Step2: Calculate the total number of hours in 15 - week semester

The total hours in 15 - week semester is $30\times15=450$ hours.

Step3: Calculate the tutoring budget

Each hour costs $12. So the budget is $450\times12 = 5400$.

Step1: Convert grams to pounds

1 g = 0.00220462 lb, so 13.6 g = $13.6\times0.00220462=0.029982832$ lb.

Step2: Convert milliliters to cubic feet

1 mL = $3.53147\times10^{-5}$ ft³, so 1 mL = $3.53147\times10^{-5}$ ft³.

Step3: Calculate the density in pounds per cubic feet

The density is $\frac{0.029982832}{3.53147\times10^{-5}}=849$.

Answer:

3.40 mL

14.