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goldenfox [79]
3 years ago
5

Which of the following equations is equivalent to x - y = 8?

Mathematics
2 answers:
matrenka [14]3 years ago
4 0
Say x = 12 and y = 4 
12 - 4 = 8

Number 1
2(12) - 4(4) = 8
24 - 16 = 8
Number 1 is your Answer
timofeeve [1]3 years ago
3 0

Answer:

The equivalent equation is 1) 2x - 4y = 8

Step-by-step explanation:

The given equation is x - y = 8.

Here we have 8 on the right hand side.

Now find the equation which has 8 on the right hand side.

It is 2x - 4y = 8

Therefore, the equivalent equation is 1) 2x - 4y = 8

Now let's find the value of x and y.

From the equation x - y = 8, we get

x = y + 8

Now plug in x = y + 8 in the equation 2x - 4y = 8

2(y + 8) -4y = 8

Use the distributive property

2y + 16 -4y = 8

-2y + 16 = 8

-2y = 8 -16

-2y  = -8

Dividing both sides by -2, we get

y = 4

Now plug in y = 4 in x = y + 8 to get the value of x.

x = 4 + 8 = 12

So the value of x = 12 and y = 4

If we plug these values in the above two equations, we get will get 8.

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The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52 m^2. Find the dimensions of the
lys-0071 [83]

length is 8m

Width is 6.5m

<u>Explanation:</u>

Let, width = b

So, length = 2b-5

area = 52m^{2}

We know,

area of rectangle = length X width

So, 52m^{2} = (2b-5) X b

On solving the above equation, we get

Width, b = 6.5m

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4 0
3 years ago
Amanda, Rafael, and Michael served a total of 92 orders Monday at the school cafeteria. Rafael served 2 times as many orders as
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The number of orders Michael, Rafael and Amanda served are 16.8, 33.6, and 41.6 servings

respectively.

<h3>Equation</h3>

  • Michael = x
  • Rafael = 2x
  • Amanda = 2x + 8
  • Total servings = 92 orders

x + 2x + (2x + 8) = 92

3x + 2x + 8 = 92

5x = 92 - 8

5x = 84

x = 84/5

x = 16.8 servings

Therefore,

Michael = x

= 16.8 servings

Rafael = 2x

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= 33.6 servings

Amanda = 2x + 8

= 33.6 + 8

= 41.6 servings

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given the midpoint of segment KL is M (1, -1) and L (8 ,-7) what are the coordinates of the other endpoint K
andrey2020 [161]

The answer is (-6, 5) for K.

In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

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And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -7)/2 = -1

Ky + -7 = -2

Ky = 5

This gives us the final point of (-6, 5)

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I cant give you the answer without the picture but I can tell you how to solve it.

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