To mix a particular shade of purple paint red paint and blue paint are mixed in the ratio 5: 3 to make 20 gallons of this shade of purple paint how many gallons of red and blue paint should be used

Red paint: 12.5 gallons

Blue paint: 7.5 gallons

Step-by-step explanation:

5 + 3 = 8

20/8 = 2.5

5 * 2.5 = 12.5

3 * 2.5 = 7.5

Red paint: 12.5 gallons

Blue paint: 7.5 gallons

Red = 12.5 gallons, Blue = 7.5 gallons

Step-by-step explanation:

Red  :   Blue    = Purple

 5x   +    3x      =    20

        8x            =    20

      ÷8                   ÷8    

x = =

Red: 5x = 5 = = 12.5

Blue: 3x = 3 = = 7.5

its the fourth option

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1