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KengaRu [80]
3 years ago
15

Twice the sum of three and a number is 30. Find the number

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

9514 1404 393

Answer:

  • 2(x +3) = 30
  • 12

Step-by-step explanation:

When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:

  2(x +3) = 30 . . . . an equation for the given conditions

__

We can solve this equation by dividing by 2:

  x + 3 = 15

  x = 12 . . . . . . subtract 3

The number is 12.

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Is -28 greater than or less than -162
vivado [14]

Answer:

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

Step-by-step explanation:

To determine:

Is -28 greater than or less than -162?

Solution Steps:

  • In mathematics, a number line is considered to be a straight line with numbers placed at equal intervals along its length.
  • A number line could be extended infinitely in any direction i..e -∞ to +∞.
  • A number is usually represented horizontally.

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

In other words,

-28>-162\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Keywords: number line, less than, greater than

Learn more about number line from brainly.com/question/12153324

#learnwithBrainly

7 0
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Solve the system of equations using the tables below
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Answer:

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Step-by-step explanation:

(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.

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