Georgia is a farmer and wants to plant a crop of tomato plants so she can sell her crop at the local farmer's market. she already has a large number of plants cultivated from last year's harvest. each should produce an average of 35 tomatoes per plant during the growing season. she has found a nursery to buy more tomato plants at which are a different type. she found that these tomato plants will cost $5.25 each and should produce 25 tomatoes per plant on average over the course of the growing season. when planting, she wants to arrange the plants so that there are 5 fewer plants in each column than there are in each row. georgia can spend no more than $500 on the tomato plants. in order to meet customer demands, she needs to produce at least 5,000 tomatoes during the growing season. let x represent the number of plants in a row, and let y represent the number of plants that georgia already has.

(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

step-by-step explanation:

the answer to this question depends on certain assumptions.   if the 6-pint jar starts out empty, and the 3-pint jar full, pouring the 3 pints into the 6-pint jar results in a half-full 6-pint jar.   if we refill the 3-pint jar and then pour its contents into the half-full 6-pint jar, then the 6-pint jar will be full.