Two smoothies and an ice cream cone cost $7.50. Three smoothies and two ice cream cones cost $12. Calculate the cost of a smoothie and the cost of an ice cream cone.

Smoothie = 3

Ice cream = 1.5

Step-by-step explanation:

2s + i = 7.5

3s + 2i = 12

subtract the equations

(3s + 2i) - (2s + i) = s + i

s + i = 4.5

2s + i = 7.5,  so s must equal 3 (7.5 - 4.5)

If s = 3, then i is 1.5 (4.5 - 3.5)

To check, plug 3 and 1.5 into s and i.

2(3) + 1.5 = 7.5

6 + 1.5 = 7.5

7.5 = 7.5

3(3) + 2(1.5) = 12

9 + 3 = 12

12 = 12

(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 ratio would be 4: 3, the four being for jackson, and the three being not for him.