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olga nikolaevna [1]
1 year ago
7

A fish tank is three-fourths full.

Mathematics
1 answer:
max2010maxim [7]1 year ago
6 0

Answer: \frac{5}{12}

Step-by-step explanation:

   We will subtract the amount of water that leaked out from the amount of water originally in the fish tank.

\displaystyle \frac{3}{4} - \frac{1}{3} =\frac{3*3}{4*3} -\frac{1*4}{3*4} =\frac{9}{12} -\frac{4}{12}=\frac{5}{12}

         The fish tank is \frac{5}{12} of the way full.

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<h3><u>Given</u><u>:</u><u>-</u></h3>

  • Perimeter of parallelogram = 66 ft

  • One side,a = 3x + 1

  • Other side,b = 2x - 3

<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>

Find the longest side of a parallelogram.

<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 2 ( a + b )

<h3><u>Solution:-</u><u> </u></h3>

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

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⇒ x = 35/5

⇒ x = 7 ft

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One side,a = 3x + 1

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Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

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⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

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3 years ago
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Step-by-step explanation:

Since we have given that

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Hence, the expression representing the amount of money spent is 5x+60 by Emily.

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