Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the density of a certain material is such that it weighs 2 pounds per g…

Question

the density of a certain material is such that it weighs 2 pounds per gallon of volume. express this density in ounces per pint.
*note: you must use these exact conversion factors to get this question right.
weight / mass|volume
1 pound (lb) = 16 ounces (oz)|1 cup (cup) = 8 fluid ounces (fl oz)
1 ton (ton) = 2000 pounds (lb)|1 pint (pt) = 2 cups (cups)
1 gram (g) = 1000 milligrams (mg)|1 quart (qt) = 2 pints (pt)
1 kilogram (kg) = 1000 grams (g)|1 gallon (gal) = 4 quarts (qt)
1 ounce (oz) = 28.35 grams (g)|1 cubic foot (ft³) = 7.481 gallons (gal)
1 pound (lb) = 0.454 kilograms (kg)|1 liter (l) = 1000 milliliters (ml)
|1 cubic meter (m³) = 1000 liters (l)
|1 gallon (gal) = 3.785 liters (l)
|1 fluid ounce (fl oz) = 29.574 milliliters (ml)

Explanation:

Step1: Convert pounds to ounces

We know 1 pound = 16 ounces. So, 2 pounds = 2×16 = 32 ounces.

Step2: Convert gallons to pints

Since 1 gallon = 4 quarts and 1 quart = 2 pints, then 1 gallon = 4×2 = 8 pints.

Step3: Calculate density in ounces per pint

The density is the mass per unit volume. The mass is 32 ounces and volume is 8 pints. So the density in ounces per pint is $\frac{32}{8}=4$ ounces per pint.

Answer:

4 ounces per pint