Answer:
-4
Step-by-step explanation:
its closer to -4
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees
Let q be the number of 25 cent coins.
Let d be the number of 10 cent coins.
0.25q+0.10d= 3.95...(1)
q-d=6...(2)
(2)-> q-d= 6
q-d+d= 6+d
q= 6+d...(2a)
(2a)-> (1) 0.25q+0.10d=3.95
0.25(6+d)=0.10d= 3.95
1.95+0.25d+0.10d= 3.95
0.35d= 3.95-1.5
0.35d/0.35= 2.45/0.35
d= 7...(3)
(3)->(2) q-d= 6
q-7= 6
q=6+7
q= 13
There are 13 quarters and 7 dimes.
Total hours= 2.2+3.5=5.7
Total earned = 5.7 x $7.50= $42.75
The solution is (5, 15)
Multiply the second equation by 2 and then add through.
3x + 2y = 45
8x - 2y = 10
-----------------
11x = 55
x = 5
Then plug in to get the y value
3(5) + 2y = 45
15 + 2y = 45
2y = 30
y = 15
