Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
A pair of kids and a pair of adults decided to compete in a three-legged race. The kids got to
start 10 yards ahead of the adults, since they had shorter legs. When they were told to start,
the kids hobbled forward at a rate of 2 yards per second, and the adults hobbled after them
at a rate of 3 yards per second. Soon they were side-by-side. How long did that take? How
far did the adults go?

d. vertex

step-by-step explanation:

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step-by-step explanation:

(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