Mark wants to paint a mural. he has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallon of blue paint. mark plans to use 3/4 gallon of each paint color. how many gallons of paint will he have left after painting the mural? enter your answer as a simplified fraction

Step-by-step explanation:

Remaining yellow paint = 9/8 - (9/8 * 3/4)                                 {1  1/8 =9/8}

                                       =9/8 [ 1 - 3/4] = 9/8* 1/4 = 9/32

Remaining green paint = 10/9 - (10/9 * 3/4)

                                       = 10/9* [ 1-3/4]   = 10/9 * 1/4 =5/9 * 1/2 = 5/18

Remaining blue paint = 7/8 - (7/8 * 3/4)

                                    = 7/8 * [ 1- 3/4] = 7/8 * 1/4 = 7/32

Total of all three remaining paint = 9/32 + 7/32 + 5/18

                                                        = (9 + 7)/32 + 5/18

                                                        = 16/32 + 5/18

                                                         = 1/2    + 5/18

                                                          = 1*9/2*9   + 5/18 = 9/18 + 5/18

                                                           = (9 + 5)/18 = 14/18

                                                           = 7/9

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2