An integer x is divided by an integer y, and the quotient is 24. the sum of these two integers is 75.
which is the value of x?

x=72

Step-by-step explanation:

"An integer x is divided by an integer y, and the quotient is 24" mathematically sounds as

"The sum of these two integers is 75" has the equation

From the second equation

Substitute it into the first:

Now

x =72

Step-by-step explanation:

  equation 1

x+y=75   equation 2

using equation 2 we have:

x=75-y  equation 3

using equation 3 in equation 1 we have:

y=3

so we have:

x=75-y

x=75-3

x=72

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)