This year,15 of the 40 computers in the math lab are not new. which representation is equivalent to the fraction of computers that are new.

5/8

Step-by-step explanation:

Subtract the total computers from the old computers.

40-15=25

Then put the number of new computers over the total computers

25/40

Then, simplify

5/8

6 and 24

step-by-step explanation:

6 x 4 = 24

(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