Aubrey is deciding between two truck rental companies. Company A charges an initial fee of $80 for the rental plus $i per mile driven. Company B charges an initial
fee of $50 for the rental plus $2 per mile driven. Let A represent the amount
Company A would charge if Aubrey drives x miles, and let B represent the amount
Company B would charge if Aubrey drives 2 miles. Write an equation for each
situation, in terms of x, and determine the interval of miles driven, z, for which
Company A is cheaper than Company B.

There are 93 calories in a small candy bar how many calories are ther in a half dozen small candy bars?

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.

Urgent need asap △abc is similar to △xyz. also, side ab measures 6 cm, side bc measures 18 cm, and side xy measures 12 cm. what is the measure of side yz ? enter your answer in the box.