Wednesday, September 26, 2012

Algebra Worksheet Answers 9/26

(Not required, but here they are if you want them)
1. x = 10
2. d = -4/3 or -1.333333...
3. w = -9
4. e can be any Real number
5. c = 23/6 or 3.83333333...
6. y = 0
7. No solution for f
8. b = -0.7 or -7/10
9. a = 1.3 or 13/10
10. z = -3

11. g = (h + 13)/2 or g = h/2 + 6.5
12. u = 9p^2 / 170 ("9 p squared over 170"), or 0.9p^2 / 17
13. i = 7W / (12j) (I substituted the "W" for the psi)
14. B = (v - 2r - 4) / 3 (obviously I switched "B" for beta)

15a. 70 ft/s; then 121.2 ft/s
15b. 6 + 32t (which is NOT 38t)
15c. 3 seconds; then 7.75 seconds

16a. Ludwig: 475 - 14n; Wolfgang: 56 + 2n
16b. 26.1875 days, or 26 days, 4 hours, and 30 minutes

17a. Cold: 9.5m; Hot: 8.4(m - 3)
17b. Never.  If you solve the equation, you should get m = -22.90909090... and if you think about it, you're turning on the faster faucet first, so the slow one will never catch up.
17c. approximately 5.60 minutes after the Cold goes on.

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