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The density of a certain material is such that it weighs 6 kilograms for every 5 pints of volume. Express this density in pounds per quart. Round your answer to the nearest hundredth.

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MrRoyal

Answer:

[tex]Density = 5.29\ lb/quarts[/tex]

Step-by-step explanation:

Given

[tex]Density = \frac{6kg}{5\ pints}[/tex]

Required

Convert to pounds per quarts

All we need to do is convert kg to pounds and convert pints to quarts

In standard conversion:

[tex]1\ kg = 2.20462\ lb[/tex]

and

[tex]1\ pint = 0.5\ quarts[/tex]

So:

[tex]Density = \frac{6kg}{5\ pints}[/tex]

[tex]Density = \frac{6 * 2.20462\ lb}{5 * 0.5\ quarts}[/tex]

[tex]Density = \frac{13.22772\ lb}{2.5\ quarts}[/tex]

[tex]Density = 5.291088\ lb/quarts[/tex]

[tex]Density = 5.29\ lb/quarts[/tex] --- Approximated

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