Question

2. Simplify. Please be sure to show all of your work.
-3(-9) – |-5 – 3


3. Simplify. Please show all of your work
9c^3+7c-(3c^3-12+c)

4. Solve 4x- 3(5x-8) =23-9(x+2) . Please show all of your work


5. Solve the following equation for z. Please show all of your work.
x=1/25(22z-9w)


6. Solve -14x -7(4-7) <(2x-15) . Write your solution using set builder notation. Please show all of your work
7.
Solve. Please show all of your work.
During one year, the Hills' real estate bill included $413 for miscellaneous services. Of this amount, 8% went to the local homeless shelter. How much money did the homeless shelter receive?

8. Solve. Please show all of your work.
Find the length and width of a rectangular lot with a perimeter of 108 meters if the length is 8 meters more than the width.

9. 9. Solve. Please show the algebraic inequality you used and show all of your work.
The Lido Company rents copy machines for a monthly charge of $300 + 10 cents per copy. The Lumsden Company rents copy machines for a monthly charge of $500 + 3 cents per copy. How many copies make the Lido Company more expensive than the Lumsden Company?

Answer 1

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Also see Writeacher's message to you earlier today.

http://www.jiskha.com/display.cgi?id=1313421001

Answer 2

2. I'm assuming you meant:

-3(-9) - [-5-3] =
27 - 8 = 19.

3. 9c^3 + 7c -(3c^3-12+c) =
9c^3 + 7c - 3c^3 + 12 - c =
6c^3 + 6c + 12 =
6(c^3 + c + 2).

4. Similar to # 3.

5. x = 1/25(22x - 9w) =
Multiply both sides by 25:
25x = 22x - 9w,
25x - 22x = 9w,
3x = 9w,
X = 3w.

6. -14x - 7(4-7) < (2x-15)
-14x + 21 < 2x-15
-14x - 2x < -15 - 21,
-16x < -36,
X > -36/-16,
X > 2 1/4.

Answer 3

7. 0.08 * $413 = $33.04

8. Width = X-Met3rs.

Length = (x+8) Meters.

2x + 2(x+8) = 108m.
2x + 2x + 16 = 108,
4x = 108 - 16 = 92,
X = 23m = Width.

X+ 8 = 31m = Length.

9. 0.1x + 300 > 0.03x + 500,
0.1x - 0.03x > 500 - 300,
0.07x > 200,
X > 2857 Copies.