A librarian sorts 500 books at a constant rate. After 4 days, the librarian still has 250 books to sort. How much time does it take to sort the books from start to finish?

8 days.

Step-by-step explanation:

250 is half of 500

So 4 days takes half of the books.

The total would be 8 days because 4 is half of 8.

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ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.