An art teacher mixes 5 parts blue paint and 3 parts white paint to make a light blue color to paint a Tar Heels logo on a school mural. If she needs a total of 40 gallons of light blue paint to paint the mural, how many gallons of blue paint will she use?

50

Step-by-step explanation:

For starters, we make the following assumptions

Let the blue paint be represented by x

Let the white paint be represented by y

Now, forming an inequality equation from the question, we can say that

5x + 3y = 1

And from the second part, we are told that 40 gallons of light blue paints are needed.

If 5x + 3y = 1, then multiplying all by 40, we have

200x + 120y = 40

This means that 200 parts of blue paints is needed to be mixed with 120 parts of white paints to get the desired 40 gallons.

There are 4 parts in a gallon, so 200 parts = 200/4 gallons, = 50 gallons of blue paints

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.