Plz me

#1 louisa spent a total of $30.75 on the entry fee plus 15 ride tickets. click “show your work” below and show calculations to determine how much louisa paid for the entry fee.

#2 peter has $22 he can spend at lakeside on the entry fee and tickets. click “show your work” below and show calculations to determine how many tickets can peter buy.

let t represent the number of ride tickets purchased and c represent the total cost of the entry fee and ride tickets. write an equation to calculate the total cost for a person pays the entry fee and purchases t tickets.

The park charges 1.50 per ride.

1. Louisa bought 15 ride tickets at 1.50 each.

Equation: C = Entry Fee  + 1.50t

t = 15.

c = 30.75

30.75 = Entry Fee + 1.50(15)

30.75 = Entry fee + 22.50

Entry fee = 30.75 - 22.50

Entry fee = $8.25

2.  Entry fee was calculated as 8.25 from #1.

Tickets are 1.50 each.

He can spend 22.

22 = 8.25 + 1.50t

Subtract 8.25 from both sides:

13.75 = 1.50t

Divide both sides by 1.50:

t = 13.75 / 1.50

t = 9.2

He can buy 9 tickets.

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

(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