Stella is renting a car for a business trip. the agency charges a flat rate of $60 plus $0.50 per mile every mile she drives over 40 miles. stella's company will pay up to $270, excluding the cost of gasoline , for the use of the rental car. what is the number of miles stella can drive the rental car without spending more then$270

270 =60 + 0.50(x-40)

270 =60 + 0.50x -20

210 =0.50x -20

230=0.50x

x=230/0.50 = 460 miles

check:

460-40 = 420

420*0.50=210 +60=270

 she can drive 460 miles total

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions