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mrs_skeptik [129]

3 years ago

7

For every dollar Billy makes he has to pay .15 cents to his dad for rent. If he makes $827 dollars,how much money does Bi;;y hav

e to pay to his dad?

1 answer:

hammer [34]3 years ago

8 0

Answer:

$124.05

Step-by-step explanation:

For every $1 he owes $.15, so you multiply .15 by 827 to get 124.05.

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A circular plot with a 160 foot diameter is watered by a spray irrigation system. To the nearest square foot, what is the area t

Anuta_ua [19.1K]

A circular plot is watered by a sprinkler that rotates through it. The sprinkler only rotates through a semi-circle, or half of the whole circle.

Area of a circle: A = pi x r^2

r = 160 / 2 = 80

A = pi x 80^2

A = 6400pi / 2 = 3200pi

3200pi = 10053.0965

The area water is approximately 10,053 ft^2.

Hope this helps!! :)

4 0

3 years ago

The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length

Artemon [7]

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

<h3 /><h3><u>Solve for the Width (W)</u></h3>

P = 2(L + W) ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

$\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}$

$\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}$

Substitute the value of the Perimeter and the length (L) into the formula:

$\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}$

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

$\displaystyle\mathsf{34\:=14\:+2W}$

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

$\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}$

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

<h3 /><h3><u>Double-check:</u></h3>

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

4 0

3 years ago

1) For question 1, use the figure below. a) Are the following polygons similar? Explain. (2 pts) Yes or No b) Assume the polygon

Delvig [45]

Answer: a) Yes b) Polygon ABCD ~ Polygon EFGH c) JKLM is 3x bigger than polygon ABCD

Step-by-step explanation:

(for part c)

JM= 36

AD= 12

36/12= 3

JKLM is 3x bigger than polygon ABCD

3 0

3 years ago

Crazy boy [7]

Answer:

130

Step-by-step explanation:

10 x 13 = 130

13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 = 130

4 0

3 years ago

What is the x-coordinate of the solution of the following system of equations?

Varvara68 [4.7K]

The easiest way to solve this is by elimination.

3x - y = 6

6x + y = 21

Since you have a negative and positive y with the same coefficients (1), they cancel, and you add the other terms so it would look like:

9x = 27

Then solving for x leaves you with x = 3

Then you take the x value of three and plug it into to either of the equations, so

3(3) - y = 6

9 - y = 6

subtracting 9

-y = -3

then dividing by -1

y = 3

so the solution is x = 3 y = 3 or (3,3)

8 0

3 years ago