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dlinn [17]
4 years ago
10

Water is being drained out of a swimming pool at a constant rate of 780 gallons per hour. The swimming pool initially contained

45,000 gallons of water. A chemical additive must be added to the pool when it has no more than 15,000 gallons of the water remaining in the pool.
Write an expression for the amount of water remaining in the pool after h (hours)

I need help writing the equation. I can solve it from there. Thanks!
Mathematics
2 answers:
german4 years ago
3 0

45,000-780h=y

It looses 780 gallons per hour so you do 780 time # of hours.

solong [7]4 years ago
3 0

Answer:

y=45000-780\cdoth

Step-by-step explanation:

If you had 45000 gallons of water before it is drained you have calculate how much long it takes to be drained at a rate of 780 gallons per hour. If the time is h hours and y is the amount of water remaining the expression is:

y=45000-780\cdoth

This is the initital amount minus the amount drained after h hours to give the total remaining

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Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \frac{\sqrt{3} }{2}, thus

sin60° = \frac{opposite}{hypotenuse} = \frac{BD}{BC} = \frac{BD}{12} = \frac{\sqrt{3} }{2} ( cross- multiply )

2BD = 12\sqrt{3} ( divide both sides by 2 )

BD = 6\sqrt{3}

-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \frac{1}{\sqrt{3} } , thus

tan30° = \frac{opposite}{adjacent} = \frac{AD}{BD} = \frac{AD}{6\sqrt{3} } = \frac{1}{\sqrt{3} } ( cross- multiply )

\sqrt{3} AD = 6\sqrt{3} ( divide both sides by \sqrt{3} )

AD = 6 → B

4 0
3 years ago
11 students went on a trip to New York City. 3 of them visited the Statue of Liberty. What fraction of the students visited the
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since just 3 went and there were 11

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3 years ago
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