Answer:
8 months
Step-by-step explanation:
x=# of months
45+4x=2x+61
45+2x=61
2x=16
x=8
Answer:
15 dollars
Step-by-step explanation:
We can write a ratio to solve
6 cones 9 cones
------------ = --------------
10 dollars x dollars
Using cross products
6*x = 10 *9
6x = 90
Divide each side by 6
6x/6 = 90/6
x = 15
Answer:
(- 5, 1 )
Step-by-step explanation:
- 6x - 14y = 16 → (1)
- 2x + 7y = 17 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the x- term
6x - 21y = - 51 → (3)
Add (1) and (3) term by term to eliminate x
0 - 35y = - 35
- 35y = - 35 ( divide both sides by - 35 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
- 6x - 14(1) = 16
- 6x - 14 = 16 ( add 14 to both sides )
- 6x = 30 ( divide both sides by - 6 )
x = - 5
solution is (- 5, 1 )
The area of the trapezoid is 37.5 square inches.
The equation is true because both sides are identical.
