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

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3