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dsp73
3 years ago
14

It takes 24 hours to fill a large pool with two hoses, where the water in one hose flows four times as fast as the other hose.

Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0
4.8 h
Say the slow hose flows x
The fast hose flows 4x
5x = 24
x = 4.8
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PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
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Answer:

(-6,9,-3)

Step-by-step explanation:

-3x -y +z=6

-3x-y+3z =0

x-3z =3

Multiply the second equation by -1

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3x +y -3z =0

Add this to the first equation

-3x -y +z=6

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Divide by -2

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Take the third equation to find x

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Subtract 9 from each side

x+9-9 =3-9

x=-6

Now we need to find y

3x +y -3z =0

3(-6) +y -3(-3) =0

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-9+y =0

Add 9 to each side

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y=9

(-6,9,-3)

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3 years ago
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Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

-10x^{2}-10y^{2}=-300

Divide by -10 both sides

x^{2}+y^{2}=30 -----> equation A

This is the equation of a circle centered at origin with radius r=\sqrt{30} \ units

and

5x^{2}+5y^{2}=150

Divide by 5 both sides

x^{2}+y^{2}=30 -----> equation B

This is the equation of a circle centered at origin with radius r=\sqrt{30} \ units

equation A and equation B are equal

therefore

The system has infinite solutions, because the equations represent circles that result in the same graph.

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