A contractor bought 7.6 ft2 of sheet metal. He has used 3.7 ft2 so
far and has $70.20 worth of sheet metal remaining. The equation
7.6x - 3.7x = 70.2 represents how much sheet metal is remaining
and the cost of the remaining amount. How much does sheet metal
cost per square foot?
Sheet metal costs $
per square foot.

$18 per square foot

Step-by-step explanation:

All you need to do is solve the equations since he has $70.20 of metal to use still. 7.6-3.7 = 3.9. Now we have 3.9x = 70.2; divide both sides by 3.9 to get x = 18, indicating that each square foot of sheet metal costs $18

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1