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3 years ago

13

A cable company charges $75 for installation plus $20 per month. Another cable company offers free installation but charges $35

per month. For how many months of cable service would the total cost from either company be the same?
Explain and write down how you found it

1 answer:

Thepotemich [5.8K]3 years ago

4 0

The answer to the question

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What is the equivalent decimal to this fraction? 10/45 0.2 0.222222222... 0.232323232323... 0.181818181818...

Ivan

Factorize the numerator and denominator, then simplify:

10/45 = (2×5)/(9×5) = 2/9

Now,

1/9 = 1/10 + 1/90

1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900

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and so on, which is to say

1/9 = 1/10 + 1/100 + 1/1000 + …

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