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Sindrei [870]
3 years ago
12

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 2525 feet

more than the length of the shortest side. find the dimensions if the perimeter is 189189 feet.
Mathematics
1 answer:
guapka [62]3 years ago
3 0
X + 2x + (x+ 2525) = 189189
4x = 186664
x = 4666
2x = 9332
x+ 2525 = 4919
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On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for
Tomtit [17]

127 children and 264 adults swam at the public pool that day

Step-by-step explanation:

On a certain hot​ summer's day

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We need to find how many children and how many adults swam at the public pool that​ day

Assume that the number of children is x and the number of adult is y in that day

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- Add x and y, then equate the sum by 391

∴ x + y = 391 ⇒ (1)

∵ The daily price for children is $1.25 per child

∵ The daily price for an adult is $2.25

∵ The receipts for admission totaled $752.75

- Multiply x by 1.25 and y by 2.25, then add the products and

  equate the sum by 752.75

∴ 1.25x + 2.25y = 752.75

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∴ x + 1.8y = 602.2 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate x

∵ (x - x) + (1.8y - y) = 602.2 - 391

∴ 0.8y = 211.2

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∴ y = 264

- Substitute the value of y in equation (1) to find x

∵ x + 264 = 391

- Subtract 264 from both sides

∴ x = 127

127 children and 264 adults swam at the public pool that day

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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Answer:

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