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saul85 [17]
3 years ago
8

Bob and James are finishing the roof of a house. Working alone, Bob can shingle the roof in 14 hours. James can shingle the same

roof in 18 hours. How long will it take them working together to shingle the roof? Round your answer to the nearest hundredth if necessary.
Please show work!
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

we know that Bob can do the whole job in 14 hours, how much of the work has he done in 1 hour only?  well since he can do the whole lot in 14 hours in 1 hour he has only done 1/14 th of the job.

we know that James can do it in 18 hours, a bit slower, so in 1 hour he has done only 1/18 th of the job.

let's say it takes both of them working together say "t" hours, so in 1 hour Bob has done (1/14) of the work whilst James has done (1/18) of the work, the whole work being t/t or 1 whole, so for just one hour that'd 1/t done by both Bob and James.

\bf \stackrel{Bob}{\cfrac{1}{14}}~~+~~\stackrel{James}{\cfrac{1}{18}}~~=~~\stackrel{total~for~1~hour}{\cfrac{1}{t}} \\\\\\ \stackrel{\textit{using an LCD of 126}}{\cfrac{9+7}{126}=\cfrac{1}{t}}\implies \cfrac{16}{126}=\cfrac{1}{t}\implies 16t=126\implies t=\cfrac{126}{16} \\\\\\ \stackrel{\textit{7 hrs, 52 minutes and 30 seconds}}{t=\cfrac{63}{8}\implies t=7\frac{7}{8}}\implies \stackrel{\textit{rounded up}}{t=7.88}

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Step-by-step explanation:

Given:

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w = 2h

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3 years ago
A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon is given by Upper C prime l
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Answer:

Step-by-step explanation:

Given:

C_{(x)}=-0.00001x^{2}-0.02x+49

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= Δx[C(0) + C(280) + C(560) + C(840) + C(1120)]

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6 0
3 years ago
X = 3y - 6 2x - 4y = 8 Solve the system of equations using substitution.
Brut [27]
Hello

x = 3y - 6
2x - 4y = 8
We need to start by solving 3y - 6 for x
Substitute 3y -6 for x in 2x
2x - 4y = 8
2(3y - 6) - 4y = 8
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Now, substitute 10 for y in x= 3y
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I hope this help!
7 0
3 years ago
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