Answer:
n = 30....................
Answer:
17
Step-by-step explanation:
Substitute "x" for "5" in the equation
3(5) + 2
15 + 2
17
Answer:
Ron: 6+2√5 days ≈ 10.47 days
Lee: 2+2√5 days ≈ 6.47 days
Step-by-step explanation:
Let L represent the number of days it takes Lee to frame a cabin. Then it take L+4 days for Ron to frame it. Working together, they take 4 days. Then their rates, in cabins per day, add up as ...
1/L + 1/(L+4) = 1/4
Multiplying by the product of denominators, we get ...
4(L+4) +4L = L(L+4)
Subtracting the left side gives ...
L^2 -4L -16 = 0
Completing the square, we can write this as ...
L^2 -4L +4 = 20
(L -2)^2 = 20
L = 2 + √20 = 2 +2√5 ≈ 6.47
Lee takes 2+2√5 ≈ 6.47 days to frame a cabin.
Ron takes 6+2√5 ≈ 10.47 days to frame a cabin.
Simplifying
5x + 7 = 2x + 4
Reorder the terms:
7 + 5x = 2x + 4
Reorder the terms:
7 + 5x = 4 + 2x
Solving
7 + 5x = 4 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
7 + 5x + -2x = 4 + 2x + -2x
Combine like terms: 5x + -2x = 3x
7 + 3x = 4 + 2x + -2x
Combine like terms: 2x + -2x = 0
7 + 3x = 4 + 0
7 + 3x = 4
Add '-7' to each side of the equation.
7 + -7 + 3x = 4 + -7
Combine like terms: 7 + -7 = 0
0 + 3x = 4 + -7
3x = 4 + -7
Combine like terms: 4 + -7 = -3
3x = -3
Divide each side by '3'.
x = -1
Simplifying
x = -1
