You and your friend each start a car-washing service. you spend $25 on supplies and charge $10 per car. your friend spends $55 on supplies and charges $13 per car. how many cars do you have to wash to earn the same amount of money as your friend?

Set both equations equal to each other to solve for x ( number of cars).

10x -25 = 13x - 55

Subtract 10x from each side:

-25 = 3x-55

Add 55 to each side:

30 = 3x

Divide both sides by 3:

x = 30/3

x = 10

They will need to wash 10 cars.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: