Acatering company currently has 34 1/4 pounds of dry pasta in stock. they plan to use 15 1/2 pounds for an upcoming wedding and then divide the remaining pasta into 5 equal-sized portions for smaller events. how many pounds of dry pasta will be in each of these portions?

They start with 34.25

They plan to use 15.5

They want to use the remaining for 5 portions

First let's see how much we have left after we use the 15.5 pounds

34.25 - 15.5 = 18.75 pounds

So, we have 18.75 pounds remaining. We want to divide this into 5 portions

18.75 / 5 = 3.75

So, you will have 3.75 pounds in each portion.

where is the rest of the

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