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elena-s [515]
3 years ago
5

There are 36 math books and 9 reading books. What is the ratio of the total number of books to the number of math books? Remembe

r to simplify your answer.
Mathematics
1 answer:
brilliants [131]3 years ago
8 0

Answer:

\frac{4}{5}

Step-by-step explanation:

so its 36+9 = 45

36/45=4/5

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The sum of series of 4+ 15 + 26 + ….. + 213
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Decompose the terms in the sum as

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so there are 20 terms in the sum. Then our sum simplifies to

4 + 15 + 26 + \cdots + 213 = 4\times20 + (0+1+2+\cdots+19)\times11

Now, if

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we can reverse the order of terms to get the same sum,

S = 19 + 18 + 17 + \cdots + 3 + 2 + 1

so that doubling up the sum gives

2S = (1 + 19) + (2 + 18) + \cdots + (18 + 2) + (19 + 1) = 19\times20 \implies S=19\times10=190

So, our sum evaluates to

4 + 15 + 26 + \cdots + 213 = 4\times20 + 190\times11 = \boxed{2170}

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