The density of a certain material is such that it weighs 440 ounces for every 3 pints of volume. Express this density in pounds per quart. Round your answer to the nearest tenth. *Note: you must use these exact conversion factors to get this question right. Weight / mass Volume 1 pound left parenthesis, lb, right parenthesis(lb) = 16 ounces left parenthesis, oz, right parenthesis(oz) 1 cup left parenthesis, cup, right parenthesis(cup) = 8 fluid ounces left parenthesis, fl oz, right parenthesis(fl oz) 1 ton left parenthesis, ton, right parenthesis(ton) = 2000 pounds left parenthesis, lb, right parenthesis(lb) 1 pint left parenthesis, pt, right parenthesis(pt) = 2 cups left parenthesis, cups, right parenthesis(cups) 1 gram left parenthesis, g, right parenthesis(g) = 1000 milligrams left parenthesis, mg, right parenthesis(mg) 1 quart left parenthesis, qt, right parenthesis(qt) = 2 pints left parenthesis, pt, right parenthesis(pt) 1 kilogram left parenthesis, kg, right parenthesis(kg) = 1000 grams left parenthesis, g, right parenthesis(g) 1 gallon left parenthesis, gal, right parenthesis(gal) = 4 quarts left parenthesis, qt, right parenthesis(qt) 1 ounce left parenthesis, oz, right parenthesis(oz) = 28.35 grams left parenthesis, g, right parenthesis(g) 1 cubic foot left parenthesis, ft³, right parenthesis(ft³) = 7.481 gallons left parenthesis, gal, right parenthesis(gal) 1 pound left parenthesis, lb, right parenthesis(lb) = 0.454 kilograms left parenthesis, kg, right parenthesis(kg) 1 liter left parenthesis, L, right parenthesis(L) = 1000 milliliters left parenthesis, mL, right parenthesis(mL) 1 cubic meter left parenthesis, m³, right parenthesis(m³) = 1000 liters left parenthesis, L, right parenthesis(L) 1 gallon left parenthesis, gal, right parenthesis(gal) = 3.785 liters left parenthesis, L, right parenthesis(L) 1 fluid ounce left parenthesis, fl oz, right parenthesis(fl oz) = 29.574 milliliters left parenthesis, mL, right parenthesis(mL) Answer Attempt 1 out of 2 pounds per quart pounds per quart
1 answer
To express the density of the material in pounds per quart, we need to first convert the given weight in ounces to pounds and the volume in pints to quarts.
Convert Weight from Ounces to Pounds:
\[
440 \text{ ounces} = \frac{440 \text{ ounces}}{16 \text{ ounces per pound}} = 27.5 \text{ pounds}
\]
Convert Volume from Pints to Quarts:
\[
3 \text{ pints} = \frac{3 \text{ pints}}{2 \text{ pints per quart}} = 1.5 \text{ quarts}
\]
Calculate the Density in Pounds per Quart:
\[
\text{Density} = \frac{\text{Weight in pounds}}{\text{Volume in quarts}} = \frac{27.5 \text{ pounds}}{1.5 \text{ quarts}} = \frac{27.5}{1.5} \approx 18.3333 \text{ pounds per quart}
\]
Rounding to the Nearest Tenth:
\[
18.3333 \text{ rounds to } 18.3 \text{ pounds per quart}
\]
Thus, the density of the material is approximately 18.3 pounds per quart.
