Hue is arranging chairs. She can form 3 rows of a given length with 2 chairs left over, or 9 rows of that same length if she gets 10 more chairs. Complete the equation and solve it to
find how many chairs are in that row length. In your equation, use the variable x to
represent the number of chairs in each row.
The equation is
There are
chairs in each row.

Can you decompose the numbers 20,740,6,000

What are “like terms”? why can we only add like terms?

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.