Suppose each matrix below represents the augmented matrix for a system of linear equations. for matrices (a) and (b), determine if the system is consistent.

Acommunity group sells 2,000 tickets for its raffle. the grand prize is a car. neil and 9 of his friends buy 10 tickets each. when the winning ticket number is announced, it is found to belong to neil's group. given this information, what is the probability that the ticket belongs to neil? a.1/5 b.1/10 c.1/200 d.1/4

Awater tank holds 18000 gallons. how long will it take for the water level to reach 6000 gallons if the water is used at anaverage rate of 450 gallons per day

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74