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Answer :
Let's break down the problem step by step:
a. To determine how many books of length [tex]\(1 \frac{1}{2}\)[/tex] inches can fit on a 42-inch long bookshelf, we need to divide the total length of the shelf by the length of one book.
- The total length of the shelf is 42 inches.
- Each book is [tex]\(1 \frac{1}{2}\)[/tex] inches long, which can also be written as 1.5 inches.
Now, divide the total bookshelf length by the length of one book:
[tex]\[
42 \div 1.5 = 28
\][/tex]
This means 28 books, each [tex]\(1 \frac{1}{2}\)[/tex] inches long, will fit on the shelf.
b. Next, we need to determine the total shelf space in feet if we have 5 bookshelves.
- One bookshelf provides 42 inches of space.
- There are 5 bookshelves in total.
- The total shelf space in inches for 5 bookshelves is [tex]\(42 \times 5 = 210\)[/tex] inches.
Since there are 12 inches in a foot, we convert the total inches to feet:
[tex]\[
210 \div 12 = 17.5
\][/tex]
Therefore, the bookcase with 5 shelves provides 17.5 feet of shelf space.
a. To determine how many books of length [tex]\(1 \frac{1}{2}\)[/tex] inches can fit on a 42-inch long bookshelf, we need to divide the total length of the shelf by the length of one book.
- The total length of the shelf is 42 inches.
- Each book is [tex]\(1 \frac{1}{2}\)[/tex] inches long, which can also be written as 1.5 inches.
Now, divide the total bookshelf length by the length of one book:
[tex]\[
42 \div 1.5 = 28
\][/tex]
This means 28 books, each [tex]\(1 \frac{1}{2}\)[/tex] inches long, will fit on the shelf.
b. Next, we need to determine the total shelf space in feet if we have 5 bookshelves.
- One bookshelf provides 42 inches of space.
- There are 5 bookshelves in total.
- The total shelf space in inches for 5 bookshelves is [tex]\(42 \times 5 = 210\)[/tex] inches.
Since there are 12 inches in a foot, we convert the total inches to feet:
[tex]\[
210 \div 12 = 17.5
\][/tex]
Therefore, the bookcase with 5 shelves provides 17.5 feet of shelf space.
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