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3 years ago

7 times a certain number is decreased by 8 and the result is equals to 20

Mathematics

2 answers:

Andrews [41]3 years ago

5 0

Answer:

let x represent the number

7x-8=20

7x=20+8

7x=28

x=28/7

x=4

this is the correct answer

-Dominant- [34]3 years ago

4 0

Answer:

7x-8=20 or x=4

Step-by-step explanation:

Let's say the certain number is x

7x-8=20

Add 8 on both sides:

7x-8+8=20+8

Simplify:

7x=28

Divide 7 on both sides:

$\frac{7x}{7}$ = $\frac{28}{7}$

Simplify:

x=4

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Answer: Choice B

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Explanation:

We'll be using the converse of the pythagorean theorem.

If we had a triangle with sides a,b,c and $a^2+b^2 = c^2$ was true, then we have a right triangle. Note: c is always the longest side

For the first answer choice we have: a = 5, b = 8, c = 12

Then,

$a^2+b^2 = c^2\\\\5^2+8^2 = 12^2\\\\25+64 = 144\\\\89 = 144\\\\$

which is false. This shows that we do not have a right triangle with sides 5,8,12. This rules out choice A. Choice C is a similar story.

Choice B on the other hand works because

$a^2+b^2 = c^2\\\\3^2+5^2 = (\sqrt{34})^2\\\\9+25 = 34\\\\34 = 34\\\\$

We have a true statement at the end, which confirms <u>choice B</u> is a right triangle.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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7 times a certain number is decreased by 8 and the result is equals to 20​

7 times a certain number is decreased by 8 and the result is equals to 20