Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Malik and his mom are planting vegetables in their garden. Malik has finished planting 7 rows of carrots so far and is
planting new rows at a rate of 5 rows per hour. His mom has finished 10 rows of tomatoes and will continue
planting at 2 rows per hour. Once they have an equal number of carrot and tomato rows, they will take a break and
decide what to plant next.
a. How many hours will it take for them to plant the same number of vegetable rows? How many rows will they each
have completed?

knock knock

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