Daniel works in a market. He has a large bag of potatoes that weighs 261/4 pounds and he is going to sell them in smaller bags of 9/4 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled?

11 6/9

Step-by-step explanation:

Daniel works in a market

He has large bags of potatoes that weighs 26 1/4

Daniel is going to sell them in smaller bags 9/4 pounds each

Therefore the number of smaller bags of potatoes in which Daniel would have filled can be calculated as follows

= 26 1/4 ÷ 9/4

= 105/4 ÷ 9/4

= 105/4 × 4/9

= 105/9

= 11 6/9

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

(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