Angelo brought apples and bananas at the fruit stand. he bought 20 pieces of fruit and spent $11.50 apples cost $.50 and bananas cost $.75 each

Angelo bought 14 apples and 6 bananas

Solution:

Let "a" be the number of apples bought

Let "b" be the number of bananas bought

Cost of 1 apple = $ 0.50

Cost of 1 banana = $ 0.75

He bought 20 pieces of fruit. Therefore,

number of apples bought + number of bananas bought = 20

a + b = 20 -------- eqn 1

He spent $ 11.50. Therefore, we frame a equation as:

number of apples x Cost of 1 apple + number of bananas x Cost of 1 banana = 11.50

0.50a + 0.75b = 11.50 ------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

a = 20 - b ------ eqn 3

Substitute eqn 3 in eqn 2

0.50(20 - b) + 0.75b = 11.50

10 - 0.5b + 0.75b = 11.50

0.25b = 11.50 - 10

0.25b = 1.5

Divide both sides of equation by 0.25

Substitute b = 6 in eqn 3

a = 20 - 6

Thus he bought 14 apples and 6 bananas

(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