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maksim [4K]
3 years ago
14

The fish tank at Matthew's house holds 468 gallons but is leaking at a rate of 4 gallons per day. Ariana's fish tank holds 624 g

allons but is leaking at a rate of 7 gallons per day. After how many days will the amount of water in the two tanks be the same?
Mathematics
1 answer:
user100 [1]3 years ago
6 0
468 plus 624 times 7 divided by 4 and you should get the amount of water in the two tanks
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Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

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<u>Given information</u>

TU = 4x

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<u>Given expression deducted from the additive property of length</u>

TV = TU + UV

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<u>Combine like terms</u>

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7x - 5 - 6x = 6x + 14 - 6x

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UV = 2x + 14 = 2 (19) + 14 = \boxed{52}

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