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3 years ago

Need help and have to show work

Mathematics

1 answer:

Lemur [1.5K]3 years ago

4 0

Plugging in 0 doesn't work so you can automatically rule out option D.

Plugging in 1 is an easy one. 5.6 + 0.4(1) is 5.6 + 0.4 = 6. 6(1) is also 6. This rules out option A.

Now all we have to do is plug in 0.875 to see if it works. If it does, option C is the answer. If not, well... only leaves option B.

5.6 + 0.4(0.875) = 5.6 + 0.35 = 5.95

6(0.875) = 5.25

So 0.875 does not make the statement true.

Your answer is Option B.

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three sets of the sum of a number and four are added to the sum of seven times the same number and thirteen

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Solution:

Given the statement:

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

Let us first understand the given statement,

Let the number be "x"

" sum of a number and four" means x + 4

"Three sets of a sum of a number and four" translated to 3(x + 4)

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Thus the algebraic expression for given statement is:

$3(x+4)+(7x + 13)$

Using distributive property in above expression

$a(b+c) = ab + bc$

Therefore,

$3(x+4)+(7x + 13) = 3x + 12 + 7x + 13$

Combine the like terms

$3(x+4)+(7x + 13) = 10x+25$

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

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Step-by-step explanation:

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