Shania is making eight gift bags to give out to her friends coming over to her house for a movie night. Each gilt bag will con polishes and a manicure kit. Including tax, each nail polish costs $2.50 and each manicure kit costs $4.00.
The following expression shows the amount of money Shania will spend on gift bags.
8(2.5x + 4)

20x + 32   or   $20 spent on the nail polish & $32 spent on the kits

Formula:

bags($polishx + $kit)

Work:

8(2.5x + 4)

8 x 2.5x = 20x

8 x 4 = 32

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s

(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