Yoko, rafael, and jim sent a total of 100 text messages during the weekend. yoko sent 5 more messages than jim. rafael sent 3 times as many messages as jim. how many messages did they each send?

Yoko=24, Rafael=57, Jim=19

Step-by-step explanation:

Yoko: x + 5

Rafael: 3x

Jim: x

Yoko + Rafael + Jim = Total text messages

x + 5 +    3x    +   x   =  100

5x + 5 = 100

5x = 95

x = 19

Yoko: x + 5 = (19) + 5   = 24

Rafael: 3x = 3(19) = 57

Jim: x = 19

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles

(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