Question

1. Write an equivalent expression for 27x+18

2. Write the inequality this number line represents

3.erin is going to paint a wall in her house she needs to find the area of the wall so she knows how much paint to purchase what is the area of her wall

4.walt received a package that is 12 1/3 inches long 6 3/4 inches high and 8 1/2 inches wide what is the surface area of the package

Answer 1

1. 27x+18 = x+x+x+x+x......+x + 18

You sum "x" 27 times.

2.
`(36,\infty)`

3.
`285/2 = 142.4`

4. 2*(12 1/3 )*(8 1/2) + 2*(12 1/3 )*(6 3/4)+2*(6 3/4 )*(8 1/2)

Explanation:

1. Remember that multiplication is a simplification of the sum, so, when you say for example, 4*3, that actually means 3+3+3+3, similarly, when you say, 27x, that means x+x+x...+x 27 times.

2. From the image you can see that

The 36 is NOT taken, and then you go all the way to infinity, therefore we say
`(36,\infty)`. Suppose that 36 was taken, then we would say
`[36,\infty)`.

3. From the attached photo

you can see that we can compute first the area of the rectangle with length = 15 and height = 7, and also note that at the top a triangle with base 15 and height 5 is formed, so the area of the whole figure would be the area of the rectangle at the bottom plus the area of the triangle on top. That would be 7*15+(15*5)/2 = 285/2

4. Remember that in general the formula for surface area would be

`2lw +2lh+2wh`

Where l = length , w = wide, h = height. In this case l = 12 1/3 , w = 8 1/2 and h = 6 3/4