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 answer is 31.27mph

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺