math
posted by christine on .
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^312+c)
4. Solve 4x 3(5x8) =239(x+2) . Please show all of your work
5. Solve the following equation for z. Please show all of your work.
x=1/25(22z9w)
6. Solve 14x 7(47) <(2x15) . 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?

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2. I'm assuming you meant:
3(9)  [53] =
27  8 = 19.
3. 9c^3 + 7c (3c^312+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(47) < (2x15)
14x + 21 < 2x15
14x  2x < 15  21,
16x < 36,
X > 36/16,
X > 2 1/4. 
7. 0.08 * $413 = $33.04
8. Width = XMet3rs.
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.