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sergeinik [125]
2 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]2 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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marta [7]

Given:

The expression is:

x^2-3x+4+2x^2-x-12

To find:

The terms and like terms in the expression.

Solution:

Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".

Like terms: The terms which contain same variables with same power are known as like terms.

The given expression is:

x^2-3x+4+2x^2-x-12

It can be rewritten as:

x^2+(-3x)+4+2x^2+(-x)+(-12)

Terms are x^2,-3x,4,2x^2,-x,-12.

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