An astronaut who weighs 126 pounds on Earth weighs only 21 pounds on the moon. How much would a person who weighs 31 pounds on the moon
weigh on Earth? Show your work to receive full credit.

186 pounds

Step-by-step explanation:

let x = pounds on Earth

set up a proportion:   =

cross-multiply:  21x = 3906

divide by 21:   x = 186

186 pounds.

Step-by-step explanation:

By proportion 126/21 =  x/31

6 = x/31

x = 6*31

= 186 pounds.

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: