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2 years ago

If 8 is added to twice a number and this sum is multiplied by 3ˏ the result is the number multiplied by 3 and 9 is added to the

product.Whats the number?

Mathematics

1 answer:

9966 [12]2 years ago

8 0

$n-a\ number\\\\(8+2n)\cdot3=3n+9\\\\8\cdot3+2n\cdot3=3n+9\\\\24+6n=3n+9\ \ \ \ /-24\\\\24-24+6n=3n+9-24\\\\6n=3n-15\ \ \ \ /-3n\\\\6n-3n=3n-3n-15\\\\3n=-15\ \ \ \ /:3\\\\3n:3=-15:3\\\\n=-5$

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Which equation has infinite solutions?

AnnyKZ [126]

The equation that has an infinite number of solutions is $2x + 3 = \frac{1}{2}(4x + 2) + 2$

<h3>How to determine the equation?</h3>

An equation that has an infinite number of solutions would be in the form

a = a

This means that both sides of the equation would be the same

Start by simplifying the options

3(x – 1) = x + 2(x + 1) + 1

3x - 3 = x + 3x + 2 + 1

3x - 3 = 4x + 3

Evaluate

x = 6 ----- one solution

x – 4(x + 1) = –3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2

-4 = -2 ---- no solution

$2x + 3 = \frac{1}{2}(4x + 2) + 2$

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3

Subtract 2x

3 = 3 ---- infinite solution

Hence, the equation that has an infinite number of solutions is $2x + 3 = \frac{1}{2}(4x + 2) + 2$

Read more about equations at:

brainly.com/question/15349799

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<u>Complete question</u>

Which equation has infinite solutions?

3(x – 1) = x + 2(x + 1) + 1

x – 4(x + 1) = –3(x + 1) + 1

$2x + 3 = \frac{1}{2}(4x + 2) + 2$

$\frac 13(6x - 3) = 3(x + 1) - x - 2$

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2 years ago

Add. 3/10+(−7/20) Enter your answer

Oliga [24]

Make the denominator the same, so multiple 3/10 by 2, which produces 6/20. Take 6/20 and subtract 7/20 because adding a negative number is the same as subtracting a positive number. the Answer is -1/20.

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2 years ago

Given line m is parallel to line n. What theorem or postulate justifies the statement? ∠1 ≅ ∠4

natima [27]

Answer:

corresponding angles postulate

Step-by-step explanation:

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3 years ago

Lane went to the bookstore he spent 1/3 of his money on a pen and 4/6 of it on books what fraction of his money did he have left

Mumz [18]

Answer: I believe that it might be $1.00

Step-by-step explanation: Well the problem doesn’t tell you how much money he HAD, so if you do 1/3+4/6 you should get 6/6 or 1 as the amount that Lane had.

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2 years ago

Read 2 more answers

Here are two rectangles.

Sophie [7]

Answer:

$AB=9.5\ cm$