Answer:
Seth saved $90.
Step-by-step explanation:
1.Find out how much would be spent without buying the movie pass.
Multiply the amount of money that one would spend for each movie, by the number of movies one saw.
8 * 30 = 240
2.Find out the amount that was actually spent
Multiply the amount that was actually spent on each movie, by the number of movies that were seen. Then add the additional cost of the pass.
(4 * 30) + 30
= 120 + 30
= 150
3. Find the difference between the two values.
Subtract the amount that one was supposed to spend by the amount one did spend.
240 - 150
= 90
Use the distributive property to multiply 3 by x−4.
Subtract 5x on both sides.
Combine 3x and −5x to get −2x.
Add 12 to both sides.
![\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-2x%20%3E%202%2B12%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BAdd%20%5C%202%20%2B12%5D%7D%7D)
Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.
![\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%20%3C%20%5Cdfrac%7B14%7D%7B-2%7D%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5BSplit%5D%7D%7D)
So in the <u>inequality 3(x-4)>5x +2</u>, the value of x is -7.
ヘ( ^o^)ノ＼(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:
Answer:
D.) 4x + y
Step-by-step explanation:
3x + x + y
Add 3
x and x
.
4
x + y
2 is the slope so the slope perpendicular to that is -1/2 (negative reciprocal)
-5=-1/2(9) 9*-1/2=-4.5 and -4.5 - 0.5 = -5 so the equation for the line is y=-1/2x -0.5
