a news paper has more than 30 pages and fewer than 40 pages. the newspaper is divided into sections, and each section has exactly 8 pages. how many sections does the newspaper have?

Respuesta :

4 sections because 4x8 is 32 which is between 40 and 30 

Answer: 4 sections


Step-by-step explanation:

Let the number of pages in a newspaper be x

Given : A news paper has more than 30 pages and fewer than 40 pages.

⇒[tex]30<x<40[/tex]

As  the newspaper is divided into sections, and each section has exactly 8 pages, divide the inequality by 8, we get

[tex]\frac{30}{8}<\frac{x}{8}<\frac{40}{8}\\\\\Rightarrow3.75<\frac{x}{8}<5[/tex]

where number of sections=[tex]\frac{x}{8}[/tex]

⇒ Number of sections is greater than 3.75 but less than 5 i.e. 4

Therefore, there are 4 sections in a newspaper .

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