Aschool bus uses 34 of a tank of gas to drive back and forth to school in a week with 5 school days. how much gas does the bus use to drive back and forth to school in a week with 4 school days? write your answer in simplest form.

  I am assuming Michael's interpretation is correct, that you want to find how much gas is used in 4 days knowing how much is used in 5 days.  Set up a simple proportion and solve it:

 3/4 tank → 5 days

 x tank → 4 days

 x = 4 * (3/4) / 5 = 3/5 of a tank

 In 4 days you use 3/5 of a tank.

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

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step-by-step explanation: