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Aleks [24]
2 years ago
11

Divide and simplify.

Mathematics
1 answer:
vredina [299]2 years ago
3 0

Answer:

\frac{ {x}^{2} + 10x + 16 }{ {x }  {}^{2}  + 6x + 8} \div  \frac{1}{x + 2}

\frac{ {x}^{2} + 8 x+  2x + 16}{ {x}^{2}  + 4x + 2x + 8}  \times (x + 2)

\frac{x(x + 8) + 2 (x + 8)}{x(x + 4) + 2(x + 4)}  \times (x + 2)

\frac{( x + 8)(x + 2)}{(x + 2)(x + 4)}  \times ( x + 2)

\frac{( x + 8)(x + 2)}{(x + 4)}

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Terrence and Lee were selling magazines for a charity. In the first week, Terrance sold 30% more than Lee. In the second week, T
timurjin [86]

Lee sold 60 magazine

Step-by-step explanation:

Terrence and Lee were selling magazines for a charity

  • In the first week, Terrance sold 30% more than Lee
  • In the second week, Terrance sold 12 magazines, but Lee did not sell any
  • Terrance sold 50% more than Lee by the end of the second week

We need to find how many magazines Lee sold

Assume that Lee sold x magazines

∵ Terrance sold 30% more than Lee in the first week

∵ Lee sold x magazines in the first week

- Find 30% of x and add it to x to find how many magazines

  Terrance sold

∵ Terrance sold = 30% × x + x

∴ Terrance sold = \frac{30}{100} × x + x = 0.3 x + x

∴ Terrance sold = 1.3 x magazines in the first week

∵ Terrance sold 12 magazines in the second week

- Add 1.3 x to 12 to find the number of magazines that Terrence

  sold in the two weeks

∴ Terrence sold 1.3 x + 12 magazines in the two weeks

∵ Lee did not sell any in the next week

∴ Lee sold x magazines in the two weeks

∵ Terrance sold 50% more than Lee by the end of the 2nd week

- Equate 1.3 x + 12 by the sum of x and 50% of x

∴ 1.3 x + 12 = 50% × x + x

∵ 50% × x = \frac{50}{100} × x = 0.5 x

∴ 1.3 x + 12 = 0.5 x + x

- Add the like terms in the right hand side

∴ 1.3 x + 12 = 1.5 x

- Subtract 1.3 x from both sides

∴ 12 = 0.2 x

- Divide both sides by 0.2

∴ 60 = x

Lee sold 60 magazine

Learn more:

You can learn more about the percentage in brainly.com/question/12284722

#LearnwithBrainly

5 0
3 years ago
Distance between two points <br> (-5,5) and ( 3,-3)
stiks02 [169]

Answer:

8\sqrt{2}

Step-by-step explanation:

Using the pythagorean theorem, you can find that the distance between the two points is \sqrt{(3-(-5))^2+(5-(-3))^2}=\sqrt{128}=8\sqrt{2}. Hope this helps!

7 0
3 years ago
PLEASEEEE HELPPP!!! I WILL MARK U BRAINLIEST!
umka2103 [35]
The answer will be 9/40
4 0
2 years ago
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What is the value of y?​
matrenka [14]

Answer:

63 degrees

Step-by-step explanation:

(180-54)/2=126/2=63

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A single chocolate muffin has 260 calories, and a blueberry muffin has 240 calories. Both muffins can be bought at the local caf
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Answer:

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1/2 of 240=120 calories

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