Will give three less than 3 times a number is equal to 23 less than half the number. (a) translate the sentence into an equation. (b) solve the equation. show your work.

Let the number be X

According to question

3 less than 3 times a number = 23 less than half the number

3X-3 = 1/2 X -23

3X - 1/2X = -23+3

Taking LCM

(6X-X)/2 =-20

5X = -20×2

5X = -40

X = -40/5

X= -8

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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