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3 years ago

Three consecutive natural numbers have a sum of 36. What is the greatest number? Answer Choices 11 12 13 15

2 answers:

6 0

The greatest number is 13

They are consecutive so it has to be 11 + 12 + 13 which is 36

13 is the greatest out of these

Marta_Voda [28]3 years ago

3 0

Hi there!

The greatest number is 13.

The definition of consecutive numbers is three counting numbers right next to each other on the number line. For example, 3, 4 and 5 would be consecutive numbers.

Since
13 + 12 + 11 = 36,
then the answer is 13, since it is the greatest number.

Hope this helps!

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Stephon has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

alekssr [168]

Answer: The expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

The length of one side of the square patio is represented by x.

We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.

Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

$w=(x-4)~\textup{feet}.$

The length of the patio is increased by 4 feet, so the length of the new patio will be

$\ell=(x+4)~\textup{feet}.$

Now, if the original patio measures 20 feet by 20 feet, then we must have

$w=x-4=20-4=16~\textup{feet}$

and

$\ell=x+4=20+4=24~\textup{feet}.$

Therefore, the area of the new patio is given by

$A_n=\ell \times w=24\times16=384~\textup{sq. feet}.$

Thus, the expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

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3 years ago

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Answer:

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We are told in the question that:

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3 years ago

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