An artist mixes 2 parts red paint with 3 parts yellow paint to get the shade of orange she wants. how many quarts of red paint must she mix with 12 quarts of yellow paint to get the same shade?

8 quarts

Step-by-step explanation:

We are given that an artist wants a shade of  orange by mixing  2 parts red paint with 3 parts yellow paint .

We have to find number of quarts of red paint must she mix with 12 quarts of yellow paint to get the same shade.

Ratio of red paint to yellow paint=2:3

If she wants same shade then the ratio of red paint to yellow paint must remain same.

Let x quarts of red paint mix with yellow paint to get same shade.

Hence,she required 8 quarts of red paint mix with 12 quarts of yellow paint  to get the same  shade .

f(x)=4

step-by-step explanation:

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system