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OleMash [197]
3 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]3 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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3 years ago
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3 years ago
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times
SOVA2 [1]

Answer: A

Step-by-step explanation:

3 0
3 years ago
22. a. In 1990, Nadezhda Ryashkina set the record for the 10,000 m race-walking event. She finished this race in 41 minutes 56.2
iVinArrow [24]

Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.

<h3>What was Ryashkina's average walking rate?​</h3>

Rate or speed is expressed as distance walked or traveled per unit time.

R = s/t

Given the data in the question;

  • Distance covered s = 10,000m
  • Time elapsed t = 41 minutes 56.23 seconds
  • Rate r = ?

First convert 41 minutes to seconds.

⇒ 41min = ( 41 × 60 )s = 2460sec

Now, Elapsed time t = 2460s + 56.23s = 2516.23 second

Next, we determine the rate.

R = s / t

R = 10000m / 2516.23 s

R = 3.97m/s

Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.

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7 0
2 years ago
3x-4y=<br> 3x−4y=<br> \,\,9<br> 9<br> -5x+4y=<br> −5x+4y=<br> \,\,-23<br> −23
Marta_Voda [28]

Answer: (7,3)

Step-by-step explanation:

<u>[Please check]:</u>   I decoded the equations as follows:

3x-4y=9 and −5x+4y=-23

We can solve this by either of two methods:  Algebra and graphing.

<u>Algebra:</u>

Add the two equations:

  3x-4y=9

<u> −5x+4y=-23</u>

-2x = -14

   x = 7

Use x=7 to solve for y:

3x-4y=9

3(7)-4y=9

21 -4y = 9

-4y = -12

y = 3

----

The solution is (7,3)

======

<u>Graphing:</u>

See the attached graph.  The lines intersect at (7,3)

7 0
3 years ago
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