The ratio of nonfiction books to fiction books in a library is 105 to 189. Which statement describes this relationship?

A)
There are 5 nonfiction books for every 9 fiction books in the library.

B)
There are 9 fiction books for every 5 nonfiction books in the library.
C)
There are 5 nonfiction books for every 14 books in the library.

D)
There are 9 fiction books for every 14 books in the library.

Per 5 nonfiction books there are 9 fiction books in the given library.

Given that;

Ratio of nonfiction books to fiction books = 105:189

Computation:

Ratio of nonfiction books to fiction books = 105:189

So,

we say that;

Per 5 nonfiction books there are 9 fiction books

Option "A" is the correct answer to the following question.

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A)There are 5 nonfiction books for every 9 fiction books in the library.  

Step-by-step explanation: If you do the math you realize that there are clearly less nonfiction books than fiction books.

105/5=21 and after 21*9 lines up and to check your work than

5*21=105 and 9*21=189 it is not B because the smaller number 105 is in front of the ratio 105:189 and 5:9

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,