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slamgirl [31]
3 years ago
13

Kent can cut and split a cord of wood twice as fast as Brent can. When they work together , it takes them 4hr. How long would it

take each of them to do the job alone
Mathematics
1 answer:
Alisiya [41]3 years ago
4 0

Answer:

Brent will take 12 hours to do the work alone

Kent will take 6 hours to do the work alone

Step-by-step explanation:

We can use the formula

W = RT

to solve this.

W is Work Done

R is the Rate at which it is done

T is the Time taken

Now, let Brent's rate be x

and since Kent can to it TWICE as fast, we can say Kent's rate is 2x

Now, to cut and split a cord (let that be "1" unit of work, W = 1 ), together they take 4 hours. So we can write:

W = RT

1 = (x + 2x)(4)

Now, we solve this for x:

1=(x+2x)(4)\\1=(3x)(4)\\1=12x\\x=\frac{1}{12}

This means that 1/12th of work is done in 1 hour, so it will take him "12" hours to do full work alone.

This is Brent.

Kent is TWICE as fast, so he will take HALF THE TIME, that is 6 hours to do the work alone.

Brent will take 12 hours to do the work alone

Kent will take 6 hours to do the work alone

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kykrilka [37]

Answer:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

Step-by-step explanation:

This is an arithmetic sequence, because the population is said to increase by 4 animals yearly. The formula for the nth term in an arithmetic sequence is given by:

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Since they are currently 17, this implies that the first number in the population sequence will be 17. In order words, the first term is 17.

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8 0
3 years ago
Question 3 of 10
GalinKa [24]
<h3>Answer: D) Cannot be determined</h3>

Explanation:

Choice A isn't the answer because we don't know anything about the angles, so we can't use the AA (angle angle) Similarity theorem.

Choice B isn't the answer because we don't have info about all three pairs of sides (we only have two pairs of sides).

Choice C isn't the answer in a similar way choice A isn't either. We don't know anything about the angles, so we can't use the "A" in "SAS".

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Calculate the length of CD give your answer to 3 significant figures.
Westkost [7]

12.7  
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So: 
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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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