# 2019 Mathematics Calendar Hints

This hint page will be built up as people ask for hints.

Rebecca Rapoport and Dean Chung

### January 10, 2019

Try factoring 1594593.

### January 24, 2019

The boat will go faster downstream thus spend less time on that part of the trip. So you can't just average 20 and 30 to get the average time over the whole trip. (If you need another hint, consider what your denominator should be.)

### February 17 2019

Hint 1: You don't need to find the roots to solve this problem.

Hint 2: Think about what the coefficients mean when you expand a quadratic.

The product of the roots is . What is the sum of the roots? You can generalize this to the problem for February 17.

### April 3, 2019

Alas there is a typo in this problem. The problem is supposed to read 1 < x < y.

### May 17, 2019

1575 should have been 1225.

### May 23, 2019

Whoops. The answer is 25 and 2/3, not 23. Our apologies!

### May 30, 2019

The marks showing the top and bottom lines are parallel got dropped. Here's the correct image.

### August 28, 2019

There was a typo in the problem. The problem should read:

IV + MMXIX➗ DCLXXIII * VIII

### December 19, 2019

There was a typo in the calendar. The problem was supposed to read:

• Amazon.com