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Irina18 [472]
2 years ago
10

Two less than three times a number is the same as six more than twice the number. Write an equation and solve to find the number

.
Mathematics
1 answer:
lapo4ka [179]2 years ago
8 0

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

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E bisects line segment df. df=2y, and ef=8y-3. find de, ef, and df.
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1/2DF = EF

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  • Multiply 1/2 * 2y.

y = 8y - 3

  • Subtract 8y from both sides.

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y = 3/7

  • Plug 3/7 for y into DF and EF.

DF: 2(3/7) = 6/7

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EF = DE because they are bisected, so DE = 3/7

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Using proportions, it is found that 66 people in the survey worked on election day.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For this problem, the amounts of people who worked are:

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Hence the total amount is given by:

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66 people in the survey worked on election day.

More can be learned about proportions at brainly.com/question/24372153

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