Plz help :( 1.Your brother and some of his friends, all under 12 years old, went to the movies. They paid $60 for their tickets. What equation could describe the situation?

2.Another family went to the movies. They bought some child tickets and some adult tickets and spent $96 altogether.
What equation could describe the situation?
How would the equation change if a child’s ticket cost $10?
How would the original equation change if the total price spent on the tickets were $156?

Graph the system: f(x)= 3/x-2; f(x)= 1/2x + 2

Consider 6x2 + 6x + 1. which term immediately tells you that this expression is not a perfect square trinomial? justify your answer

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.