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Snowcat [4.5K]
3 years ago
15

Shannon earned $12.75 per hour plus an additional $100 in tips waiting tables on Saturday evening. She earned $235 in all. To th

e nearest hour, what is the least number of hours Shannon would have to work to earn this much money?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

The least number of hours that she would have to work is 11.

Step-by-step explanation:

First, make the equation be "12.75x +100=235". Then, subtract 10 from both sides of the equation. You would get

"12.75x= 135". Then, divide both sides of the equation by 12. 75x, and the equation turns out to say, "x=10.59".

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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

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

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One side,a = 3x + 1

★ Putting the value of x

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Other side,b = 2x - 3

★ Putting the value of x

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⇒ 11 ft

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

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