We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be $\frac{3}{8}x$ .

We are also told that there are 44 books in school library. We can represent this information in an equation as:

$x+\frac{3}{8}x=44$

Let us solve for x.

$\frac{8x}{8}+\frac{3}{8}x=44$

$\frac{8x+3x}{8}=44$

$\frac{11x}{8}=44$

$\frac{11x}{8}\cdot \frac{8}{11}=44\cdot\frac{8}{11}$

$x=4\cdot 8$

$x=32$

Therefore, there are 32 non fiction books in the library.

Number of fiction books would be $\frac{3}{8}x\Rightarrow \frac{3}{8}*32=3*4=12$

Therefore, there are 12 fiction books in the library.

5 0

2 years ago

Answer and please show the work !

Thepotemich [5.8K]

Answer:

Option A for part A and $79 for part B

Step-by-step explanation:

8 0

2 years ago

2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true <br> plsss help :)))

Ivanshal [37]

Answer:

x = -9/2

Step-by-step explanation:

1. Divide 9 by -1/3:

$\frac{9}{1}$ ÷ $-\frac{1}{3}$ = $\frac{9}{1}$ · $-\frac{3}{1}$

= -27

2. Divide both sides by 2:

2(x - 9) = -27

$\frac{2(x-9)}{2} = \frac{-27}{2}$

(x - 9) = $-\frac{27}{2}$

3. Add 9 to both sides:

x = $-\frac{9}{2}$

(or 4.5 if you need it in decimal form)

hope this helps!

6 0

2 years ago