Jasmine wants to organize her books in order of most number of pages to least number of pages. jasmine's longest book has 396 pages and her shortest book has one-fourth as many pages as the longest. if the book in the middle of her shelf has three times the number of pages of the shortest book. then how many pages does the middle book have?

297 pages

Step-by-step explanation:

Number of pages of longest book = 396 pages

Now we are given that her shortest book has one-fourth as many pages as the longest.

Number of pages of shortest book =

                                            =

                                            =

Now we are given that the book in the middle of her shelf has three times the number of pages of the shortest book.

So, Number of pages in middle book:

=  

=  

=  

Hence the middle book have 297 pages.

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the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).