Solve each of the following problems using one or more conver-sion factors:a. A container holds 0.500 qt of liquid. How many milliliters of lemonade will it hold?b. What is the mass, in kilograms, of a person who weighs 175lb?c. An athlete has 15% body fat by mass. What is the weight of fat, in pounds, of a 74-kg athlete?d. A plant fertilizer contains 15% nitrogen (N) by mass. In a container of soluble plant food, there are 10.0 oz of fertilizer. How many grams of nitrogen are in the container?

a. 473mL.

b. 79.38kg

c. 24.47lb of fat

d. 42.5g of N.

Explanation:

a. A qt is equal to 946mL. 0.500qt are:

0.500qt * (946mL / 1qt) = 473mL

b. 1lb is equal to 0.4536kg, 175lb are:

175lb *(0.4536kg / 1lb) = 79.38kg

c. The fat in kg of the athlete is:

74kg * 15% = 11.1kg of fat. In pounds:

11.1kg * (1lb / 0.4536kg) = 24.47lb of fat

d. The mass of nitrogen in the fertilizer is:

10.0oz * 15% = 1.5oz of N

1 oz is equal to 28.35g. 1.5oz are:

1.5oz * (28.35g / 1oz) = 42.5g of N

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