Answer:
C. 12
Step-by-step explanation:
the greatest common factor between 84 and 96 is 12
Answer:
x = 1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(2x−4)=4x
(−2)(2x)+(−2)(−4)=4x(Distribute)
−4x+8=4x
Step 2: Subtract 4x from both sides.
−4x+8−4x=4x−4x
−8x+8=0
Step 3: Subtract 8 from both sides.
−8x+8−8=0−8
−8x=−8
Step 4: Divide both sides by -8.
Let x = amount of 45% antifreezeLet y = amount of 70% antifreeze EQUATION 1: x + y = 150 (total of 150 gallons mixed) EQUATION 2: .45x + .75y = .55(x + y) Simplify and solve the system of equations Multiply second equation by 100 on both sides to remove the decimals 45x + 75y = 55(x + y) Combine like terms 45x + 75y = 55x + 55y 45x - 55x + 75y - 55y = 0 -10x + 20y = 0 Now we have the following system of equations: x + y = 150 -10x + 20y = 0 Multiply the first equation by -10 to get opposite coefficients for x; add the equations to eliminate x 10x + 10y = 1500 -10x + 20y = 0 ------------------------------ 30y = 1500 Solve for y 30y = 1500 y = 50 Since the total mixed gallons is 150, x = 150 - 50 = 100 So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze
Answer:
Ratios in a percent proportion always have a denominator of 100 because 100 % is the whole
Step-by-step explanation:
