If you would like to know about how long was the rope before Chris cut it and you would like to round each length to the nearest tenth to estimate the total length of the original piece of rope, you can calculate this using the following steps:
11.36 meters = 11.4 meters
13.46 meters = 13.5 meters
11.4 + 13.5 = 24.9 meters
Result: The rope was 24.9 meters long (before Chris cut it) - rounded to the nearest tenth.
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
So,
All you have to do is find the total labor cost and put it over the revenue.
We have two workers each earning $8/hr. (lousy), and they work 40 hrs./week.
2 * $8 = $16/hr.
$16/hr. * 40 hrs. = $640
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Cross out zeros.
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Simplify.
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

Convert the denominator to 100.
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
=
32%
The labor cost is 32% of the revenue.
Answer:
Fraction: 22 2/5
Decimal: $22.4
Step-by-step explanation:
2/5 x 56
Answer:
Slope of the line x +2y =14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7.
Step-by-step explanation: