Question

Solve each problem in quarts, pints, ounces, liters, pounds, yards, feet, and inches.

1) Every quart is 2 pints. Write an equation to express the total number of pints (Z) in (y)
2) Every cup is 8 ounces. Write an equation to express the total number of ounces (Z) in
(y) cups.
3) Every liter is 1,000 milliliters. Write an equation to express the total number of
milliliters (Z) in (y) liters.
4) For each pound there are 16 ounces. Write an equation to express the total number of
ounces (Z) in (y) pounds.
5) Every yard is 3 feet. Write an equation to express the total number of feet (Z) in (y)
yards.
6) Every foot is 12 inches. Write an equation to express the total number of inches (Z) in inches.

Answer 1

To convert between units, you create an equation using the relationship between the units. Each equation is in the form of Z = conversion factor times y, depending on the conversion required (e.g., Z = 2y for pints in quarts). Simply substitute the given value of y to find the equivalent quantity Z.

Step-by-step explanation:

To answer the questions about converting different units of measurement, we use the following relationships expressed as equations:

1. For pints in quarts: Z = 2y. Since every quart is 2 pints, if you have y quarts, you would have Z pints by multiplying by 2.
2. For ounces in cups: Z = 8y. Because every cup has 8 ounces, you can find the number of ounces by multiplying the number of cups by 8.
3. For milliliters in liters: Z = 1000y. Every liter contains 1,000 milliliters, so multiply the number of liters by 1,000 to get milliliters.
4. For ounces in pounds: Z = 16y. Since there are 16 ounces in every pound, multiplying the number of pounds by 16 gives you the number of ounces.
5. For feet in yards: Z = 3y. A yard is equivalent to 3 feet, so the number of feet is 3 times the number of yards.
6. The question to write an equation for inches in feet seems to be missing the conversion factor or the exact question. However, using the standard conversion that a foot is 12 inches, the equation would be Z = 12y, where y is the number of feet to be converted into inches.