-61 times the difference between a number and 56 is equal to the number plus – 28. Solve the equation for z. Express your answer as an integer, a reduced fraction, or a decimal number rounded to two places.

1722/31 or 55.55

Step-by-step explanation:

We need to write an equation.

-61( z - 56 ) = z - 28

-61z + 3416 = z - 28

-61z + 61z + 3416 = z + 61z - 28

3416 = 62z - 28

3416 + 28 = 62z - 28 + 28

3444 = 62z

3444/62 = 62z/62

3444/62 = z

Since 3444/62 isn't a whole number let's reduce

3444/2 = 1722        62/2 = 31

1722/31 is our reduced fraction

Plug it into a calculator 55.5483 but rounded to two decimal places is 55.55

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

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step-by-step explanation: