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azamat
3 years ago
11

9+3r<2+2r and -3-5r<6-4r

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Answer:

-9 < r < -7

Step-by-step explanation:

9 + 3r < 2 + 2r

r < -7

-3 - 5r < 6 - 4r

-9 <  r

r > -9

-9 < r < -7

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There are 162 magazines and books in a library. There are 54 more books
Strike441 [17]

Answer:

108 books.

Step-by-step explanation:

Let the number of magazines = m

Let the number of books = b

<u>Given the following data;</u>

Total number of m & b = 162

<em>Translating the word problem into an algebraic equation, we have;</em>

b = m + 54 ......equation 1

m + b = 162 ......equation 2

<em>Substituting equation "1" into equation "2" we have;</em>

m + m + 54 = 162

2m + 54 = 162

2m = 162 - 54

2m = 108

m = \frac {108}{2}

m = 54

Now to find the number of books;

b = m + 54

Substituting the value of "m" into the equation, we have;

b = 54 + 54

<em>b = 108</em>

<em>Therefore, the total number of books in the library is 108 books. </em>

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3 years ago
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Step-by-step explanation:

Step 1:

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