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sergeinik [125]
3 years ago
7

Three times a number increased by ten is equal to twenty less than six times the number. Find the number

Mathematics
1 answer:
AysviL [449]3 years ago
4 0

Let the number be x. "Three times a number increased by 10" is mathematically translated as

3x + 10

"is equal" is mathematically translated as twenty less than six times the number" is mathematically translated as

6x - 20

The whole sentence "Three times a number increased by ten is equal to twenty less than six times the number" is translated as

3x + 10 = 6x - 20

We now solve the above linear equation to find the number x

3x - 6x = - 20 - 10

- 3x = - 30

x = 10

Check answer

Three times a number increased by ten : 3 × 10 + 10 = 40

Twenty less than six times the number : 6 × 10 - 20 = 40

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Mumz [18]

We have

81-49n^4=9^2-(7n^2)^2

so this is indeed a difference of squares. Factorizing would give

81-49n^4=(9-7n^2)(9+7n^2)

making the answer D.

We can further factor the first term here and write

9-7n^2=3^2-(\sqrt 7\,n)^2=(3-\sqrt7\,n)(3+\sqrt7\,n)

but that's clearly out of the scope of this question.

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Step-by-step explanation:

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Step-by-step explanation:

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Read 2 more answers
1/3(-15 divide 1/2) 1/4 what does it equal
Dafna1 [17]

Answer:

-2.5 or - 2 1/2

Step-by-step explanation:

Writing out the expression Mathematically ;

1/3(-15÷1/2)1/4

Using PEMDAS :

Solving the bracket first

(-15 ÷ 1/2) = (-15 * 2/1) = - 30

We have :

1/3(-30)1/4 = - 10 * 1/4 = - 10 / 4 = - 2.5

-2.5 = - 2 1/2

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3x squared - 2 x y when x=2 and y = 5
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