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Sagot :
Answer
The time it takes for the tub to fill with 11,000 ounces of water = 263.41 seconds.
Explanation
What is given:
The rate of filling the bathtub with water = 72 inch³/second
The density of water = 0.58 ounce/inch³
What to find:
The time it will take for the tub to be filled with 11,000 ounces of water.
Step-by-step solution:
First, calculate the level of water in 'inch'.
Given that the density of water = 0.58 ounce/inch³
It implies 0.58 ounce of water fills the tub = 1 inch
So, 11000 ounces of water fill the tub =
[tex]\frac{1\text{ }inch}{0.58\text{ }ounce}\times11000\text{ }ounce=18965.52\text{ }inch[/tex]Now the time taken for the tub to be filled with 11,000 ounces of water is calculated below:
As 72 inches is filled with water in 1 second
So, 18965.52 inches is filled with water in:
[tex]\frac{1\text{ }seconds}{72\text{ }inches}\times18965.52\text{ }inches=263.41\text{ }seconds[/tex]Therefore, the time taken for the tub to fill with 11000 ounces of water is 263.41 seconds.
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