34. x - 3 = 8x + 4
-3 - 4 = 8x - x
-7 = 7x
-7/7 = x
-1 = x
y = x - 3
y = -1 - 3
y = -4
solution is (-1,-4)
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35. -6 = -x - 2y
x = -2y + 6
2 + 5x = -2y
2 + 5(-2y + 6) = -2y
2 - 10y + 30 = -2y
32 = -2y + 10y
32 = 8y
32/8 = y
4 = y
2 + 5x = -2y
2 + 5x = -2(4)
2 + 5x = -8
5x = -8 - 2
5x = -10
x = -10/5
x = -2
solution is (-2,4)
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36. 4x + 6y = 2000
x + y = 410
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37. 4x + 6y = 2000
x + y = 410......multiply by -6
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4x + 6y = 2000
-6x - 6y = - 2460 (result of multiplying by -6)
--------------------add
-2x = - 460
x = -460/-2
x = 230 <=== tickets in advance
N = 9
explanation: If you tilt triangle FGH to where it matches triangle PQR, 9 is matched with N.
more help:
Q = G
10.5 = 7
P = F
H = R
4 = 6
9 = N
$92/week is the amount of money you gained from work combined with your $20/week allowance money.
92 - 20 = 72 (total money made per week subtract allowance money leaves money made from work)
Thus, you make $72/week at your part time job.
You work a total of 9 hours. (3hrs on Fri & 6hrs on Sat added together)
72/9 = 8 (total amount of money made divided by the 9 hrs you worked for - gives amount of money you make per hour)
Thus, you make $8/hr at your part time job.
Answer: 4 ÷ 0.96 = 4.16666666667
Step-by-step explanation:
Answer:
20 points
Step-by-step explanation:
Points:
- 21, 13, 14 and x for the last game
Average:
- (21+13+14+x) / 4 = 17
- 48 + x = 4*17
- 48 + x = 68
- x = 68 - 48
- x = 20
They must score 20 points