In the latest meet the boys cross county team scored 55 points. If there were five runners on the team and each runner finished one after another. What places did they each come in?

Runner 1 = 9th place

Runner 2 = 10th place

Runner 3 = 11th place

Runner 4 = 12th place

Runner 5 = 13th place

Step-by-step explanation:

Given that:

Number of runners = 5

Total points scored = 55

Finishing spot for each runner (they finished one after the other)

Hence,

x, (x + 1), (x + 2), (x + 3), (x + 4)

x + x + 1 + x + 2 + x + 3 + x + 4 = 55

5x + 10 = 55

5x = 55 - 10

5x = 45

x = 9

Hence,

Runner 1 = 9th place

Runner 2 = 10th place

Runner 3 = 11th place

Runner 4 = 12th place

Runner 5 = 13th place

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)

it is x=-4

step-by-step explanation: