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Gnom [1K]
3 years ago
14

Find the third, eighth, and tenth terms of the sequence described by the rule.

Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

Find the third, eighth, and tenth terms of the sequence described by the rule.

A(n) = 6 + (n − 5) 2, please help!

answer choices are:

A.

−2, 0, 2

B.

2, 12, 16

C.

−4, 6, 10

D.

−8, −6, −4

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5 votes

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the answer is B

Step-by-step explanation:

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The ratio of runners to swimmers was 3:2. When 28 runners dropped out of the competition, the ratio became 5:6. How many total s
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The total of 42 swimmers are competing

Step-by-step explanation:

The given is:

  • The ratio of runners to swimmers was 3 : 2
  • When 28 runners dropped out of the competition, the ratio became 5 : 6

We need to find how many total swimmers are competing

∵ The ratio of runners to swimmers was 3 : 2

- Multiply each term of the ratio by x

∴ There are 3x runners and 2x swimmers

∵ 28 runners dropped out of the competition

∴ The number of runners who complete = 3x - 28

∵ The ratio became 5 : 6

- Equate the ratio between the new number of runners and the

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∵ The new number of runners = 3x - 28

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∴ \frac{3x-28}{2x}=\frac{5}{6}

- By using cross multiplication

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- Simplify both sides

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- Add 168 to both sides

∴ 18x = 10x + 168

- Subtract 10x from both sides

∴ 8x = 168

- Divide both sides by 8

∴ x = 21

∵ The number of swimmers is 2x

∵ x = 21

∴ The number of swimmers = 2(21) = 42

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You can learn more about the ratio in brainly.com/question/2707032

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Answer:

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