1. solve for x. show each step of the solution.
4.5(8 - x) + 36 = 102 - 2.5(3x+24)

x= -10

Step-by-step explanation:

       4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

4.5(8) - 4.5(x) + 36 = 102 - 2.5(3x) -2.5(24)

       36 - 4.5x + 36 = 102 - 7.5x - 60

                72 - 4.5x = 102 - 7.5x - 60

                      -4.5x = 102 - 7.5x - 60 - 72

           -4.5x + 7.5x = -30

                           3x =  -30

                             x = -30/3

                             x = -10

Sorry if its wrong, I try my best.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you