the density of a certain material is such that it weighs 2 pounds for every 9 pints of volume. express this…

the density of a certain material is such that it weighs 2 pounds for every 9 pints of volume. express this density in kilograms per cup. round your answer to the nearest hundredth.\n*note: you must use these exact conversion factors to get this question right.\nweight / mass\tvolume\n1 pound (lb) = 16 ounces (oz)\t1 cup (cup) = 8 fluid ounces (fl oz)\n1 ton (ton) = 2000 pounds (lb)\t1 pint (pt) = 2 cups (cups)\n1 gram (g) = 1000 milligrams (mg)\t1 quart (qt) = 2 pints (pt)\n1 kilogram (kg) = 1000 grams (g)\t1 gallon (gal) = 4 quarts (qt)\n1 ounce (oz) = 28.35 grams (g)\t1 cubic foot (ft³) = 7.481 gallons (gal)\n1 pound (lb) = 0.454 kilograms (kg)\t1 liter (l) = 1000 milliliters (ml)\n\t1 cubic meter (m³) = 1000 liters (l)\n\t1 gallon (gal) = 3.785 liters (l)\n\t1 fluid ounce (fl oz) = 29.574 milliliters (ml)

the density of a certain material is such that it weighs 2 pounds for every 9 pints of volume. express this density in kilograms per cup. round your answer to the nearest hundredth.\n*note: you must use these exact conversion factors to get this question right.\nweight / mass\tvolume\n1 pound (lb) = 16 ounces (oz)\t1 cup (cup) = 8 fluid ounces (fl oz)\n1 ton (ton) = 2000 pounds (lb)\t1 pint (pt) = 2 cups (cups)\n1 gram (g) = 1000 milligrams (mg)\t1 quart (qt) = 2 pints (pt)\n1 kilogram (kg) = 1000 grams (g)\t1 gallon (gal) = 4 quarts (qt)\n1 ounce (oz) = 28.35 grams (g)\t1 cubic foot (ft³) = 7.481 gallons (gal)\n1 pound (lb) = 0.454 kilograms (kg)\t1 liter (l) = 1000 milliliters (ml)\n\t1 cubic meter (m³) = 1000 liters (l)\n\t1 gallon (gal) = 3.785 liters (l)\n\t1 fluid ounce (fl oz) = 29.574 milliliters (ml)

Answer

Explanation:

Step1: Convert pounds to kilograms

Given 2 pounds, and 1 pound = 0.454 kilograms. So, $2\times0.454 = 0.908$ kilograms.

Step2: Convert pints to cups

Given 9 pints, and 1 pint = 2 cups. So, $9\times2=18$ cups.

Step3: Calculate density in kg/cup

Density = $\frac{\text{mass}}{\text{volume}}$. Substituting the converted values, density = $\frac{0.908}{18}\approx0.05$ kg/cup.

Answer:

0.05