A bathtub contains 45 gallons of water and the total weight of the tub and water is approximately 760.275 pounds. You pull the plug and the water begins to drain.Let v represent the number of gallons of water that has drained from the tub since the plug was pulled. Note that water weights 8.345 pounds per gallon.A. Write an expression in terms of v that represents the weight of the water that has drained from the tub (in pounds).B. Write an expression in terms of v that represents the total weight of the tub and water (in pounds).C. How much does the tub weigh when there is no water in it?D.If the weight of the tub and water is 618.41 pounds, how many gallons of water are in the tub?

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Asked Jan 27, 2019
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A bathtub contains 45 gallons of water and the total weight of the tub and water is approximately 760.275 pounds. You pull the plug and the water begins to drain.
Let v represent the number of gallons of water that has drained from the tub since the plug was pulled. Note that water weights 8.345 pounds per gallon.

A. Write an expression in terms of v that represents the weight of the water that has drained from the tub (in pounds).
B. Write an expression in terms of v that represents the total weight of the tub and water (in pounds).
C. How much does the tub weigh when there is no water in it?
D.If the weight of the tub and water is 618.41 pounds, how many gallons of water are in the tub?

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Expert Answer

Step 1

Since we are entitled to answer up to three sub parts, we will answer first 3 as you have not mentioned the subparts you need help with. Please resubmit the question and specify other subpart you would like to get answered.

Step 2

A). It is given in the question that when plug is pulled the volume of water drains from the tub = v gallons.

And weight of water = 8.345 pounds per gallons

Then expression for weight of water drained (in pounds) can be written as below.

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Step 3

B). After v gallons of water drained weight of tub = (weight of tub + weight of water)- weight of water drained.

Given from the question weigh...

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Algebra

Equations and In-equations

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