Abookshelf is 30 inches wide. each book is 2 11/16 inches wide. how many books fit in the bookshelf?

A division problem always seems simple until a fraction is thrown in, right? Thought it may look more than a simple division problem, it really is a simple division problem that needs a shift in your mental perspective.

Let's start off by simplifying the horrid mixed fraction.

2 11/16 = (32 + 11)/16 = 43/16

Now divide "30" by "43/16".

x

You may be thinking, "Wait, that's a multiplication problem!" Actually, when dividing fractions you are essentially multiplying the dividend by the reciprocal (flip) of the divisor.

Since every book is of equal width, and we cannot cut into any books, 11 books can fit in the shelf. Hope this helps!

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

pla·gia·rism

/ˈplājəˌrizəm/

learn to pronounce

noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation: