Of 18 possible​ books, you plan to take 7 with you on vacation. How many different collections of 7 books can you​ take? You can take nothing different collections of 7 books on vacation with you.

31,827 ways

Step-by-step explanation:

Total number of books, n = 18

Number of books to be selected, r = 7

Since, the order of arrangement doesn't matter ;

We use the combination formula :

nCr = n! ÷ (n-r)! r!

18C7 = 18! ÷ 11!7!

18C7 = (18*17*16*15*14*13*12) ÷ (7*6*5*4*3*2*1)

18C7 = 160392960 / 5040

18C7 = 31,827 ways

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get