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Grace [21]
3 years ago
7

The sum of 6 consecutive integers is 387. What is the sixth number in this sequence.

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

Answer:

67!

Step-by-step explanation:

A way to look at it is, since the number is 387, it can be broken into 6 parts. 50x6 is about 300. That leaves 87 to be left over. So it's safe to assume each number will be around 50-60, so I started to add up six consecutive numbers together until I reached my final set of numbers to reach 387.

My numbers were 62+63+64+65+66+<u><em>67</em></u>=387

I hope this makes sense!

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In the 2006 Winter Olympics, Sweden won 3 medals more than China. Germany
muminat

Germany secured 29 medals

Step-by-step explanation:

In the 2006 Winter Olympics

  • Sweden won 3 medals more than China
  • Germany  secured one more than twice the number of medals bagged by Sweden
  • 54  medals were won in all

We need to find how many medals did Germany secure

Assume that x represents the number of medals that Sweden won

∵ Sweden won x medals

∵ Sweden won 3 medals more than China

- That means chine won 3 medals less than x

∴ China won = x - 3 medals

∵ Germany  secured one more than twice the number of

   medals bagged by Sweden

- That means multiply x by 2 and add 1

∴ Germany secured = 2x + 1 medals

∵ 54  medals were won in all

- That means add the number of medals of the 3 countries

  and equate the sum by 54

∵ x + (x - 3) + (2x + 1) = 54

- Add like terms in the left hand side

∴ (x + x + 2x) + (-3 + 1) = 54

∴ 4x - 2 = 54

- Add 2 to both sides

∴ 4x = 56

- Divide both sides by 4

∴ x = 14

∵ Germany secured 2x + 1

- Substitute the value of x by 14

∴ Germany secured ⇒ 2(14) + 1 = 28 + 1 = 29

Germany secured 29 medals

Learn more:

You can learn ore about the word problems in brainly.com/question/10557938

#LearnwithBrainly

7 0
3 years ago
PLEASE HELP I WILL MARK BRAINLIEST!!!!
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Answer:

Math-way

Step-by-step explanation:

I'd do it for you right now if you wanted but it'd be much faster if you did it, It's is perfect for this problem

8 0
2 years ago
A jar contains 100 gum balls. There are 12 blue gum balls, 15 green gum balls, 37 red gum balls, and 36 yellow gum balls. What i
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Yellow gumballs = 36
Total = 100
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\frac{9}{25}
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3 years ago
Ms. Davenport's class studied the changes in temperature in math class as a part of their study of rational numbers.
Simora [160]

Answer:

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Step-by-step explanation:

If it was 6 degrees cooler on Monday than it was on Sunday, but also having Tuesday be 4 degrees warmer than Monday, Wednesday would have to be 2 degrees cooler than Tuesday because it is a number that would comply with the limits  

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