The density of a certain material is such that it weighs 7 pounds for every 5.5 cups of volume. Express this density in kilograms per pint. Round your answer to the nearest hundredth.

Respuesta :

Answer:

[tex]Density = 1.1546\ kg/pint[/tex]

Step-by-step explanation:

Given

[tex]Mass = 7\ lb[/tex]

[tex]Cups = 5.5[/tex]

Required

Determine the density in Kg/Pint

Density is calculated as thus:

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]Density = \frac{7\ lb}{5.5\ cups}[/tex]

Convert pound to kg

[tex]Density = \frac{7/ 2.205\ kg}{5.5\ cups}[/tex]

[tex]Density = \frac{3.17515\ kg}{5.5\ cups}[/tex]

Convert cups to pint

[tex]Density = \frac{3.17515\ kg}{5.5/2\ pint}[/tex]

[tex]Density = \frac{3.17515\ kg}{2.75\ pint}[/tex]

[tex]Density = 1.1546\ kg/pint[/tex]