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faust18 [17]
3 years ago
9

I need a few answers 1. P+15=-2 p=? 2. 8y=-64 y=? 3. -2 x 6 =? 4. H-(-4) for H=8

Mathematics
1 answer:
Nikitich [7]3 years ago
5 0
1: -17 + 15 = -2   P = -17
2: 8 x -8 = -64   y = -8
3: -2 x 6 = -12
4: 8 - (-4) = 12
Hope I Helped
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The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches
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Answer:

x=7.2

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

\text{Surface area of rectangular prism}=2(wl+lh+hw), where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

lwh=2(wl+lh+hw)

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

9\cdot 4\cdot x=2(4\cdot  9+9\cdot x+x\cdot 4)

Let us solve for x.

36x=2(36+9x+4x)  

36x=2(36+13x)

36x=2(36+13x)

36x=72+26x

36x-26x=72+26x-26x

10x=72

x=\frac{72}{10}\\\\x=7.2

Therefore, the value of x is 7.2 inches.

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Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in
zepelin [54]

Answer:

  • <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>

<u></u>

  • average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

  • average yearly salary of an individual whose final degree is a masters: x

  • average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

  • the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

        equation (1): x = 2y - 46

  • combined, two people with each of these educational attainments earn $122 thousand:

         equation (2): x + y = 122

3. Solve the system:

  • x = 2y - 46 . . . equation (1)
  • x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

  • 2y - 46 + y = 122

Solve for y:

  • 3y = 122 + 46
  • 3y = 168
  • y = 168 / 3
  • y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

  • x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

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