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Elenna [48]
3 years ago
5

Y = 15x y = 25 + 12.5x

Mathematics
1 answer:
swat323 years ago
7 0

Substitute y = 15x to the equation y = 25 + 12.5x:

15x = 25 + 12.5x     <em>subtract 12.5x from both sides</em>

2.5x = 25    <em>divide both sides by 2.5</em>

x = 10

Substitute the value of x to the equation y = 15x:

y = (15)(10)

y = 150

<h3>Answer: x = 10 and y = 150</h3>
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A dinner table is a perfect circle with a diameter of 8 feet. With dinner plates that each a diameter of exactly 1 foot, how muc
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The area of the tablecloth showing is approximately 45.55 square feet

<h3>What is an area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

It is given that:-

The diameter of the dinner table, D = 8 feet

The diameter of each plate, d = 1 feet

The number of people at the dinner table = 6 people

The number of plates = 6 plates

The area of the table cloth, A₁ = π·D²/4

∴ A₁ = π × 8²/4

The area covered by the 6 plates, A₂ = 6·π·d²/4

A₂ = 6 × π × 1²/4

Let 'A' represent the area of the tablecloth showing when the table is set for six people, we have;

A = A₁ - A₂

∴ A = π × 8²/4 - 6 × π × 1²/4 ≈ 45.55 ft.²

Therefore the area of the tablecloth showing when the table is set for six people, A ≈ 45.55 ft.²

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8 0
2 years ago
FIRST CORRECT ANSWER GETS BRAINLIEST AND 50 POINTS.
AnnyKZ [126]

Answer:

A) 5^3*5^{-4}=5^{3-4}=5^{-1}=\frac{1}{5} (Yes. It has a value between zero and one.)

B) \frac{3^5}{3^{-6}}=3^{5-\left(-6\right)}=3^{5+6}=3^{11}=177147 (No. It does not have a value between zero and one.)

C) \left(\frac{1}{4}\right)^3* \left(\frac{1}{4}\right)^2=\left(\frac{1}{4}\right)^{3+2}=\left(\frac{1}{4}\right)^5=\frac{1^5}{4^5}=\frac{1}{1024}. (Yes. It has a value between zero and one.)

D) \frac{\left(-7\right)^5}{\left(-7\right)^7}=\left(-7\right)^{5-7}=\left(-7\right)^{-2}=\frac{1}{\left(-7\right)^2}=\frac{1}{49} (Yes. It has a value between zero and one.)

4 0
3 years ago
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Find the slope of the line going through the points (-5, 2) and (-1,5).
Karolina [17]
The slope would be 3/4 because 5 - 2 is 3 and -1 - (-5) is 4. Hope this helps!
4 0
3 years ago
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Use a net to find the surface area of the right triangular prism shown:
erma4kov [3.2K]

Answer:

256 ft²

Step-by-step explanation:

Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle

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Area of a rectangle = width x length

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3 0
2 years ago
The question is bellow
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Answer:

20

Step-by-step explanation:

we expect to have the smae outcome so we just multiply the out puts by 5 to see what would happen after 125 draws

8 0
2 years ago
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