2) You hired an interior designer from Atlanta Interior Design Inc. to help decorate the new game room; however, the interior designer earns a commission on their work. If Atlanta Interior Design
gets to keep 30% of the money from the sale, what would the company's bill have to be to make at
least $500?

Approximately, $1,666.66

Step-by-step explanation:

Since Atlanta Interior Design is keeping 30% of the money from the overall sale, and their 30% is supposed to be $500, therefore you would have the following layout:

$500     30%

=

   x        100%

Therefore, you would do (500 x 100)

                                          = 1,666.66~

                                                30

To check this, you could do:

       x              30%

=

1,666.66~      100%

Therefore,

(1,666.66~ * 30)

= 499.99~

         100

x= 149. 24+7=31. 180-31=149

your welcome

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .