9. ¹/₃(x + 6) = 8
¹/₃(x) + ¹/₃(6) = 8
¹/₃x + 2 = 8
<u> - 2 - 2</u>
3 · ¹/₃x = 6 · 3
x = 18
15. ¹/₅(x + 10) = 6
¹/₅(x) + ¹/₅(10) = 6
¹/₅x + 2 = 6
<u> - 2 - 2</u>
5 · ¹/₅x = 4 · 5
x = 20
20. ¹/₈(24x + 32) = 10
¹/₈(24x) + ¹/₈(32) = 10
3x + 4 = 10
<u> - 4 - 4</u>
<u>3x</u> = <u>6</u>
3 3
x = 2
32. 5 - ¹/₂(x - 6) = 4
5 - ¹/₂(x) - ¹/₂(-6) = 4
5 - ¹/₂x + 3 = 4
5 + 3 - ¹/₂x = 4
8 - ¹/₂x = 4
<u>- 8 - 8</u>
-2 · (-¹/₂x) = -4 · (-2)
x = 8
33. ²/₃(3x - 6) = 3
²/₃(3x) - ²/₃(6) = 3
2x - 4 = 3
<u> + 4 + 4</u>
<u>2x</u> = <u>7</u>
2 2
x = 3¹/₂
Since 2x+y>4 you get y>4-2x. Then you draw the line y=4-2x then you are interested in everything above the line not including it since it is y>4-2x so it is a dashed line. You need to shade the side that satifies the inequality and since it is every pair (x,y) where y>4-2x, you need to shade everything above the line which is the side that does not include the origin. So the answer is C.
Answer= 120
Explanation= plugged it into a calculator
Answer:
I think the answer is A.
Step-by-step explanation:
Original shape: 7 x 5 x 225 x 6 x 12 x 45 = 25,515,000
A: 9 x 5 x 225 x 6 x 35 x 12 = 25,515,000
B: 14 x 10 x 255 x 12 x 24 x 45 = 462,672,000
C: 9 x 7 x 225 x 8 x 15 x 45 = 76,545,000
D: 8 x 4 x 225 x 6 x 12 x 35 = 18,144,000
This is probably not the way you would solve it but this is how I did it. Basically I multiplied all the numbers in each shape together.
<em>(also i'm not quite sure if this is right >.< sorry!)</em>
Answer:
1 solution
Step-by-step explanation:
Solution is, x=3-4y