What is equivalent to 12:20

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=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

the answer is 1,118,210 lol

4.5(4 − x ) + 36 = 202 − 2.5(3x + 28) now multiply from the paranthesis

18 -4.5x + 36 = 202 -7.5x + 70 will add the numbers

54-4.5x = 272-7.5x move x to the left and numbers to the right

7.5x-4.5x = 272-54 make the difference

3x = 218 and divide by 3

x= 72