Instructions for a craft project say that the length of a piece of a red ribbon should be 7 1/8 inches less than the length of a piece of blue ribbon. If the red ribbon is 14 3/4 inches long, how long is the blue ribbon?

Step-by-step explanation:

Instructions for a craft project say that the length of a piece of a red ribbon should be 7 1/8 inches less than the length of a piece of blue ribbon. Converting 7 1/8 inches to improper fraction, it becomes

57/8 inches.

The red ribbon is 14 3/4 inches long. Converting 14 3/4 inches to improper fraction, it becomes

59/4 inches. Therefore, the length of the blue ribbon is

59/4 - 57/8 = (118 - 57)/8

= 61/8 = 7 5/8 inches

(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

okey so the slope is -3/5 and the y -intercept is 7/5

hope this if needed hmu