On Mercury, you weigh 2 pounds for each 5 pounds you weigh on Earth. You weigh 140 pounds on Earth. How much do you weigh on Mercury?

56

Step-by-step explanation:

Givens

Given Ratio = 2/5

Given mass on earth = 140

Ratio

2/5 = x/140 or

0.4 = x / 140

Solution

2/5 = x/140                    Cross multiply

5x = 2*140                     Combine

5x = 280                       Divide by 5

x = 280/5

x = 56

You could also do this by combining the left side of the original proportion into 0.4

0.4 = x / 140               Multiply both sides by 140

0.4*140 = x                 Combine the left

56 = x

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)