Respuesta :
Answer:
3.5 inches
Step-by-step explanation:
Given :
A photography book has 60 two-sided pages of pictures.
Thickness of each page is [tex]\frac{1}{40}[/tex]
Each two-sided page is preceded by a protective 1/80 inch thick piece of paper.
Each side of the book is bound by a 1/4 inch cover.
To Find: What is the total thickness of the book?
Solution :
Since each two sided page is preceded by a protective 1/80 inch thick piece of paper.
So, both sided preceded by a protective thick piece = [tex]2*\frac{1}{80}[/tex]
= [tex]\frac{1}{40}[/tex]
And Thickness of each paper [tex]\frac{1}{40}[/tex]
So, total thickness of paper : [tex]\frac{1}{40}+\frac{1}{40}[/tex]
[tex]\frac{2}{40}[/tex]
Since there are 60 pages.
So, thickness of 60 pages = [tex]60*\frac{2}{40}[/tex]
= 3 inches
Now each side of the book is bound by a 1/4 inch cover
So, thickness of cover of both side = [tex]2*\frac{1}{4}[/tex]
= [tex]\frac{1}{2}[/tex]
Now total thickness of book = thickness of 60 pages + thickness of both side covers
= [tex]3+\frac{1}{2}[/tex]
= [tex]\frac{7}{2}[/tex]
Thus the thickness of the book is 7/2 inches .
Hence the total thickness of book is 3.5 inches