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Elis [28]
3 years ago
9

A rectangular pool 12 meters by 8 meters is surrounded by a walkway of width x meters. At what

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0
X=3

x is the width of the sidewalk
The outside dimensions of the walkway are 12 + 2x by 8 + 2x
The total area is (12 + 2x)(8 + 2x)
The total area minus the area of the pool should be equal to the area of the pool

Hoped this helped!
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Is there a prime number that ends in zero?
Ilia_Sergeevich [38]
No, because all numbers that end in zero are able to be divided by sometimes 2, and always 5. And 0 doesn't count as a prime number.
8 0
3 years ago
Jake ate 4½ pounds of candy during the week after Halloween. How much candy did he eat per day on average.
ElenaW [278]

Answer: 9/14 of a pound each day.

Step-by-step explanation:

We can convert the mixed fraction into an improper fraction:

4 1/2 → 9/2

Now we divide by 7, since there are 7 days in a week:

9/2 ÷ 7

When we divide, by a number, it can be placed in the denominator:

9/2*7 = 9/14

There's no other way to simplify it, so that's our final answer.

8 0
3 years ago
Read 2 more answers
The two shapes have the same area. Work out the perimeter of the rectangle.
elena-14-01-66 [18.8K]
You need to do this in several steps.

1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.

1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x

2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x

3) Set the areas equal and solve for x

x^2 + 2x = 12x

x^2 - 10x = 0

x(x - 10) = 0

x = 0 or x = 10

Since a width cannot be 0, we discard x = 0, and keep x = 10.

4) The length is x + 2 = 10 + 2 = 12
The width is x = 10

The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44

The perimeter is 44 cm.
4 0
3 years ago
10(x + 4) + 15(x + 1)<br><br> 55 x<br> 25 x + 5<br> 25 x + 55
DedPeter [7]

Answer:

Step-by-step explanation:

10(x+4)+15(x+1)

10x+40+15x+15

25x+55

7 0
3 years ago
Factorize 5xz - 10xy
mr_godi [17]

Step-by-step explanation:

  • 5xz-10xy
  • 5x(z-2y)

hope it helps.

<h2>stay safe healthy and happy.....</h2>
5 0
3 years ago
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