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mart [117]
3 years ago
6

Jackson can remove the shingles off of a house in 7 hours, while Martin can remove the shingles in 5 hours. How long will it

Mathematics
2 answers:
inessss [21]3 years ago
6 0

Answer:

It will take them 2 hours and 55 minutes to remove the shingles if they work together.

Step-by-step explanation:

The together rate is the sum of each separate rate.

In this problem:

Jackson's rate is 1/7

Martin's rate is 1/5.

The together rate is 1/x, which is what we want to find.

So

\frac{1}{7} + \frac{1}{5} = \frac{1}{x}

\frac{5 + 7}{35} = \frac{1}{x}

\frac{12}{35} = \frac{1}{x}

12x = 35

x = \frac{35}{12}

x = 2.9167

So 2 hours plus 0.9167 of an hour.

An hour has 60 minutes.

0.9167*60 = 55 minutes

So it will take them 2 hours and 55 minutes to remove the shingles if they work together.

kotegsom [21]3 years ago
4 0

Answer:

Step-by-step explanation:

WE can use the following formula:

\frac{T}{X}+\frac{T}{Y}=1

Where "T" is the time time working together,

"X" the time for person X working alone and

"Y" is the time for person Y working alone.

Based on the data given in the exercise, we can identify that:

X=7\\Y=5

substituting these values into the formula and solving for "T", we get that this is:

\frac{T}{7}+\frac{T}{5}=1\\\\\frac{12T}{35}=1\\\\T=(1)(\frac{35}{12})\\\\T=2.9167\ hours

Since 1 hour has 60 minutes:

(0.9167h)(\frac{60min}{1h})\\=55min

<h3> </h3><h3>Therefore, if they work together, it will take them 2 hours and 55 minutes to remove the shingles.</h3>
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Kathryn deposits 100 into an account at the beggining of each 4 year period for 40 years. The account credits interest at an eff
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Answer:

6194.84

Step-by-step explanation:

Using the formula for calculating accumulated annuity amount

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X = 100[(1 + i)^40 + (1 + i)^36 + · · ·+ (1 + i)^4]

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3 years ago
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Please, can you help.... I'm really confused. I need an answer really fast. Thank you
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Answer:

Mean for Labradors: 65

Step-by-step explanation:

This is how to find the M.A.D.

Step 1. Find the mean. To do that, you add all the numbers and divide that number by how many numbers you have which is 10. All the numbers together is 650. That divided by 10, is 65. That is your mean.

Step 2. Once you have that, subtract the mean from all 10 numbers.

Step 3. Find the mean of the 10 numbers which you have subtracted 65 (the mean) from. If the number you subtracted is a negative, make it a positive.

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2 years ago
Little Melinda has nickels and quarters in her bank. She has two
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A) N +2 = Q which equals

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B) .05N +.25Q = 3.50  multiplying A) by .25

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*************DOUBLE CHECK ***************

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