Atheater manager is planning an upcoming concert. regular tickets will cost $12 and student tickets will cost $8. the theater can seat at most 200 people. the manager wants to collect at least $1000 from ticket sales. let x represent the number of regular tickets sold. let y represent the number of student tickets sold. which inequalities are among the constraints for this situation? select each correct answer. 12x+8y≤1000 12x+8y≥1000 x+y≥1000 x+y≤200 x+y≥200 12x+8y≤200

I’m still confused on how to work the percentages

What is 0.368,0.380,0.365,and 0.383 in order from least to greatest

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?