Micah is planning a road trip. he estimates that he will drive a total of of 8 1/4 hours. he wants to stop for a gas after 1/3 of the total time has passed. how long will he drive before he stops for gas? express your answer as a mixed number.

a. 8 1/12 hours
b. 2/3 hours
c. 11/4 hours
d. 2 3/4 hours

hours

Step-by-step explanation:

He estimates that he will drive a total of of 8 1/4 hours.

Total time =

He wants to stop for a gas after 1/3 of the total time has passed.

So, He stops after time =

So, he will drive for hours before he stops for gas

He will drive for hours before he stops for gas

So, option D is true .

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)

nope lol

step-by-step explanation: