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Usimov [2.4K]
3 years ago
13

For every 30 letters that Maria sent in a month, she received 40 letters. What is the ratio in simplest form of the number of le

tters sent to the number of letters received by Maria that month?
Mathematics
1 answer:
Sidana [21]3 years ago
8 0
3/4 Is the answer to your question
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Select 2 of the following
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Answer:

OPTION C: The ratio is a constant.

OPTION E: The ratio is equal to b.

Step-by-step explanation:

Given: $ f(x) = a.b^x $

The ratio of f(x + 1) and f(x) = $ \frac{f(x + 1)}{f(x)} = \frac{a.b^{x + 1}}{a.b^x} $

Since, $ a^{x + 1} = a^x. a $

$ \implies \frac{f(x + 1)}{f(x)} = \frac{a.b^x.b}{a.b^x} $

Cancelling out $ a.b^x $ we get:

$ \frac{f(x + 1)}{f(x)} = b $

This shows that the ratio is always a constant and that constant is equal to b.

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Step-by-step explanation:

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Kim’s hair grows a half inch per month. How many months will it take for her hair to grow 12 inches?
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Step-by-step explanation:

Cross-multiply

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12 inches ---------------- x months

0.5/12 = 1/x ===> 0.5x = 12 ===> x = 12/0.5  ===> x = 24 months

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