You are organizing books on a shelf. Each book has a width of 3/4 inch. Write and solve an inequality for the numbers of books b that can fit on the shelf.

Complete Question

You are organizing books on a shelf. Each book has a width of 3/4 inch. The number of shelves is 12.

Write and solve an inequality for the numbers of books b that can fit on the shelf.

a) Inequality for the numbers of books b that can fit on the shelf

= b ≤ 3x/4

b) The numbers of books b that can fit on the shelf is b ≤ 9 books

Step-by-step explanation:

Let the number of books = b

Let us assume the number of shelves= x

Each book has a width of 3/4 inch.

Therefore,

b ≤ 3/4 × x

b ≤ 3x/4

If the number of the shelves is 12

Therefore, the number of books bis

b ≤ 3 × 12/4

b ≤ 9 books

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).