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OleMash [197]
2 years ago
13

(ANSWER FOR FREE BRAINPOINTS!) (FIRST TO ANSWER GETS BAINLIEST) The local park has a rectangular swimming pool that measures 40

yards in length and 15 yards in width. The community is planning to build a smaller swimming pool that is similar to the current pool. 40 yards, 15 yards, 24 yards. If the length of the new smaller pool will be 24 yards, what will be the width of the smaller pool in yards?

Mathematics
1 answer:
iren [92.7K]2 years ago
4 0

Answer:

9 yards

Step-by-step explanation:

Since both pools are similar, therefore the ratio of their length and width would be equal. That is:

Length of the current swimming pool : length of the new swimming pool = width of the current swimming pool : width of the new swimming pool

Thus, we can set up a proportion as shown below:

Let the width of the new swimming pool be x.

40 : 24 = 15 : x

\frac{40}{24} = \frac{15}{x}

Cross multiply

40*x = 15*24

40x = 360

Divide both sides by 40

x = \frac{360}{40}

x = 9

The width of the new swimming that is smaller would be 9 yards.

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Answer:

I might be wrong double check but it's something like

Step-by-step explanation:

4x/3-40/3

(not to sure on that so don't be mad if it's wrong)

6 0
2 years ago
What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 2 over x squared plus x minus 12?
andrezito [222]

The correct answer is C: 1/(x + 4)(x - 5)


   Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick

Look at the factors of the right number (In this case, -10 and -12)

-10                   -12

1  * -10            1 * -12

-1 * 10             -1 * 12

-2 * 5             -2 * 6

2 * -5              2 * -6

                      -3 * 4

                       4 * -3


Now for part 2

Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).

2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is

x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)

Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.

8 0
3 years ago
Which equation has the same solution
Temka [501]
4x^2+48x=20
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8 0
2 years ago
Find the sum to infinity of a geometric series having a second term of -9 and fifth term of 1/3 g
Eduardwww [97]

Answer:

S infinity= -51/4

Step-by-step explanation:

First term

ar= -9

Fifth term

ar⁴= 1/3

Solving for the value of the r and a

ar= -9

ar⁴= 1/3

Dividing each other

r³=1/3 * -1/9

r³=-1/27

r= 3√-1/27

r= -1/3

Solving for a

ar= -9

a(-1/3)= 9

a= 9*-3

a= -27

Sum of a go to infinity is given by the formula

S infinity= a/(1-r)

S infinity= -27/(1-(-1/3))

S infinity= -27/(1+1/3)

S infinity= -27 * 3/4

S infinity= -51/4

5 0
2 years ago
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vova2212 [387]

Answer:

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Step-by-step explanation:

divide it by 2 its easy

8 0
2 years ago
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