The total age of two sisters is 108 years One is 18
years
older than the other. Find the
ratio of the age of the older to the
younger

7 : 5

Step-by-step explanation:

let the age of the younger be x , then the older is x + 18, thus

x + x + 18 = 108, that is

2x + 18 = 108 ( subtract 18 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

Thus younger is 45 and older is 45 + 18 = 63

ratio older : younger = 63 : 45 = 7 : 5

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)