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vichka [17]
3 years ago
10

The area of a rectangular swimming pool is 360 square feet. If the length of the swimming pool is 9 feet more than its width, fi

nd the length of the pool
Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Answer:

l = 24ft

Step-by-step explanation:

A = lw

360 = (x + 9)(x)

360 = x^2 + 9x

0 = x^2 + 9x - 360

0 = (x + 24)(x - 15)

x ≠ -24 (length cannot be negative)

x = 15

l = 15 + 9

l = 24ft

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The admission fee at a zoo is $2 for children and $4 for adults. If 1800 people enter the zoo and $6000 is collected, how many a
ipn [44]

Answer:

The number of adults is 1,200

Step-by-step explanation:

Let

x------> the number of children

y------> the number of adults

we know that

x+y=1800 -------> equation A

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Multiply equation A by -2

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Adds equation B and equation C

2x+4y=6000\\-2x-2y=-3600\\---------\\4y-2y=6000-3600\\2y=2400\\y=2400/2\\y=1200

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2 years ago
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The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the
Scilla [17]

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

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2 years ago
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