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Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1351 liters of water. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 35.75 liters per minute.

After how many minutes will the two pools have the same amount of water?


How much water will be in each pool when they have the same amount?

Answers

Answer 1

After how many minutes will the two pools have the same amount of water? 36 min.

How much water will be in each pool when they have the same amount? 2638 liters.

Explanation:

y=1900+20.5x

y=1351+35.75x

Answer 2

Let the time be t

[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]

[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]

[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto t=2.9h[/tex]


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June was thinking of a number. June half's the number and gets an answer of 53.7 form an equation with x from the information​

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Answer:

x/2=53.7

Step-by-step explanation:

x/2=53.7

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A high school track team's long jump record is 22 ft 6 3/4in. This year, Arthur's best long jump is 21 ft 10 1/2in. If long jumps are measured to the nearest quarter inch, how much farther must
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Arthur must jump an additional 8.25 inches so as to break the record.

1 foot =  12 inches

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Arthur's long jump record = 21 ft 10 1/2in = 21 ft 10.5 in = (21ft * 12 in per ft) + 10.5 in

Arthur's long jump record = 262.5 ft.

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Answers

Step-by-step explanation:

f(x) = 0

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long proof :

g(x) + f(x) = 2x + -2x + 2x = 2x

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Answer:

is there a question asked or no?

a
How many seconds are in a day? Use the conversion equivalency 24 hours = 1 day, 60 minutes = 1 hour, 60 seconds
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Answer:

D)86400 seconds

Step-by-step explanation:

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Answer:

The slope of the function represents how much the function rises per amount that it moves horizontally.

Step-by-step explanation:

Whic
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Answer:

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Answer:

Are the following two logical statements equivalent?

p

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Answers

Answer:

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Step-by-step explanation:

J : N

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to confirm if it's correct:

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Answer:

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Answer:

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Answer:

The answer is A.

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Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

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The answer is:
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Answers

Answer:

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Step by step explanation:
Answer:

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Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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0.15x(-0.6)=-0.09

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