Austin High School’s volleyball team has made it to the state championship. They have 300 tickets to the big game. They will sell tickets to students for 5 dollars and to teachers for 6 dollars. School rules say that there must be at least 1 teacher for every 5 students on the trip. The school also wants to have at least twice as many students as teachers on the trip. There are 110 seats on the school bus that ticketholders must use to ride to the game. Each seat can fit either 2 teachers or 3 students. To how many teachers should the school sell tickets to maximize their revenue (and such that all ticketholders fit on the bus)?

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.

$119.20

step-by-step explanation:

$372.50 - 60% off is $149. $149-20% off is $119.20

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

in total they made   333.74 your welcome : d