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elena55 [62]
3 years ago
7

It takes Natalie five hours to tar a roof. Imani can tar the same roof in ten hours. How long would it take them if they worked

together? Round your answer to the nearest hundredth. A. 3.51 hours B. 2.77 hours C. 3.33 hours D.4.3 hours
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

\frac{1}{tb} = \frac{1}{t1} + \frac{1}{t2}, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

\frac{1}{tb} = \frac{1}{5} + \frac{1}{10}

\frac{1}{tb} = \frac{4}{20} + \frac{2}{20}

\frac{1}{tb} = \frac{6}{20}

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

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Answer:

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

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2 years ago
One number is six times as large as another. The sum of their reciprocal is 7. What are the numbers
RideAnS [48]
X=6y

sum of their reciprocals
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Step-by-step explanation:

-2-3-(-4)

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