"31-inch piece of steel is cut into three pieces"
Call the pieces a,b,c
a + b + c = 31
"second piece is twice as long as the first piece"
b = 2a
"third piece is one inch more than seven times the length of the first piece"
c = 1 + 7a
Ok, we have our equations, let's substitute the second and third into the first.
a + 2a + 1 + 7a = 31
10a + 1 = 31
10a = 30
a = 30/10 = 3
b = 2a = 6
c = 1 + 7a = 22
Check: 3 + 6 + 22 = 31, good
Answer: 3 inches, 6 inches, 22 inches
Answer:
24
Step-by-step explanation:
y= 24-4x
Answer:
5(2x + 6) = -4(-5 -2x) + 3x
10x + 30 = 20 + 8x + 3x
10x + 30 = 20 + 11x
Applying the additive inverse property, we get,
10x + 30 - 10x - 20 = 20 + 11x - 10x - 20
10 = x
Answer:64
Step-by-step explanation:
2×2=4
4×2=8
8×8=64
