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ANTONII [103]
3 years ago
15

Jimmy can oil the lanes in a bowling alley in eight hours. Perry can oil the same lanes in nine hours. How long would it take th

em if they worked together?
Mathematics
1 answer:
Furkat [3]3 years ago
6 0

Answer:

It would take 4\frac{4}{17} or <u>4.24 hours</u> to oil the lanes if they work together.

Step-by-step explanation:

Given:

Time to oil the lanes by Jimmy alone = 8 hours

Time to oil the lanes by Perry alone = 9 hours

Now, let the time taken by both working together be 'x' hours.

Part of the work done in 1 hour by Jimmy alone = \frac{1}{8}

Part of the work done in 1 hour by Perry alone = \frac{1}{9}

Part of the work done in 1 hour by Jimmy+Perry together = \frac{1}{x}

Now, total work in 1 hour is given as:

\frac{1}{8}+\frac{1}{9}=\frac{1}{x}\\\\\frac{1\times 9}{8\times 9}+\frac{1\times 8}{8\times 9}=\frac{1}{x}\\\\\frac{9+8}{72}=\frac{1}{x}\\\\\frac{17}{72}=\frac{1}{x}\\\\\textrm{Doing cross product, we get:}\\\\17x=72\\\\x=\frac{72}{17}=4\frac{4}{17}\ hours

Therefore, it would take 4\frac{4}{17} or 4.24 hours to oil the lanes if they work together.

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Answer:

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-18 divided by -32 rational
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If a new jacket sells for $30, find the total cost if you were charged 5% sales tax. Round your answer to the nearest cent.
Nady [450]
We would multiply $30 by 5% to first find 5% 
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6 0
3 years ago
Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x
Yanka [14]

Answer:

Solution: The average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Explanation:

The rate of change shows the change in first variable with respect to change in second variable.

If the rate of chang is given by  it means second variable is decrease by 14 if the first variable increase by 3.

In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.

If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.

Let the vertical height of the slide covered from x = 0 to x =15 be y.

It means when distance increased by 15 units the height of slide decreased by y units.

So rate of change = .

It is given that the rate of change is .

Equate both equations.

Therefore, the average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

6 0
2 years ago
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Anne bought a pair of jeans that originally cost $33, but are currently marked down 25%. What will is the new price of the jeans
Evgen [1.6K]

Answer:

The jeans are now $24.75.

Step-by-step explanation:

Two ways to do this. Either you multiply 33 by 0.25 and get 8.25 which is 25% percent of the price and then you just subtract $8.25 from $33 and end up with $24.75, OR you can multiple 33 by 0.75 and you end up with $24.75.

8 0
2 years ago
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