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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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8 0
3 years ago
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What is the slope of the line through (-2,3) and (4,0)? 4 3 (-2,3) (4,0) x -3 -2 -1 2 2 3 4 -1 -2 -3 4 O A. 2 B. O c. -2 O D. -
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Answer:

- 1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

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4 0
3 years ago
Hamburger sells 3 pounds for six dollars if Samantha 510 pounds of hamburger how much will she pay
Lina20 [59]
I believe you meant to say that if Samantha bought 510 pounds of hamburger, how much will she pay?
 
Now from the information we already have, we know that 3 pounds of hamburger will cost 6 dollars. 

The next thing we need to know is how much one pound of hamburger will cost. This will help us calculate  how much the rest will cost.

we now form an equation to assist us.
3 = 6
1= x

(where x represents the unknown price of one pound of hamburger)

Now we must cross-multiply:

3 * x = 6 x 1

3x = 6 

x = 6/3

x = 2

therefore one pound of hamburger costs 2 dollars.

Now, If one pound costs 2 dollars, how about 510 pounds?

We simply multiply:  510 x 2 = 1,020

Therefore  Samantha will pay 1, 020 dollars for 510 pounds of hamburger.






5 0
3 years ago
in a circle, a 60° sector has an area of a 36π cm^2. find the radius of the circle. round your answer to the nearest whole centi
hammer [34]
Area of circle = \frac{ \theta }{360^o}  \times \pi r^2 \\ 36 \pi = \frac{60^o}{360^o}  \times \pi r^2 \\ r^2=216 \\ r= \sqrt{216} =14.70 \ cm \\ r=15 \ cm \ to \ the \ nearest \ whole \ centimeter.
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4 years ago
If the data analyst hypothesizes that grocery sales are lower on Sunday than on other days, the null hypothesis would likely sta
nlexa [21]

Answer:

The answer is "Grocery sales are lower or no different on Sunday than on other days"

Step-by-step explanation:

Its null hypothesis does not always consider any discrepancy between both the comparable qualities throughout facts and figures. Furthermore, researchers recommend also have lower or even no opposite transactions for Sunday than with other days, because there is no connection between grocery sales and Saturdays and Sundays.

7 0
3 years ago
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