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barxatty [35]
3 years ago
12

Last year, Austin, Texas received 23.5 inches of rainfall. This year, Austin received 21.2 inches of rainfall. Find the percent

of decrease in the number of inches of rainfall. Round your answer to the nearest tenth of a percent, if necessary.
Mathematics
1 answer:
Elza [17]3 years ago
6 0
Let's consider that 23.5 is 100% of rainfall.
23.5 ..... 100 %
21.2 ..... x %

Calculate x:
x = \frac{21.2 \cdot 100}{23.5} = 90.212766, which is around 90.2%.

The percent of decrease is 100 - 90.2 = 9.8 %.
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5 0
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The 15th term will be 71. Why? Well, see below for an explanation!

By subtracting all of these numbers by the term that comes prior to them, we will find that all of them result in 5. Because of this, we know that each time the term increases, 5 is being added to the numbers. Additionally, I noticed that all of the numbers in this arithmetic sequence only end in a 1 or a 6. Because of this, we can apply the same principle when adding 5 each time:

First term: 1
Second term: 6
Third term: 11
Fourth term: 16
Fifth term: 21
Sixth term: 26
Seventh term: 31
Eighth term: 36
Ninth term: 41
Tenth term: 46
Eleventh term: 51
Twelfth term: 56
Thirteenth term: 61
Fourteenth term: 66
Fifteenth term: 71

By adding 5 each time and keeping in mind that the digits all end in only 1 or 6, we will find that the fifteenth term results in 71. Therefore, the 15th term is 71.

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