Let a be a rational number and b be an irrational number. a + b = c, assume c is rational

a + b - a = c - a, subtract a from both sides

b = c - a, which means that b is rational. But this contradicts the initial assumption.
The above proof shows that the sum of an irrational and rational number is always . Explain.

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

the answer would be c