Answer: x = 20
We know opposite angles are equivalent so we can set both of these expressions equal to each other to solve for x.
3x + 50 = 6x - 10
50 = 3x - 10 (subtract 3x from both sides)
60 = 3x (add 10 to both sides)
20 = x (divide both sides by 3)
Answer:
19 bears, 38 boxes of candy.
Step-by-step explanation:
We can use a system of equations (b = # of bears, c = # of candy boxes):
<em>b + c = 57, 8b + 6c = 380</em>.
We can use substitution by isolating b in the first eq.: <em>b = 57 - c</em>, then substitution b with 57 - c in the second eq.: <em>8(57 - c) + 6c = 380</em>.
Then, we solve: 456 - 8c + 6c = 380, 76 = 2c, c = 38 candy boxes.
Finally we plug in 38 for c in the first eq.: b + 38 = 57, b = 19 bears.
Independent: Hours (Domain)
Dependent: Money (Range)
Domain: [0,30]
Range: [0,330]