Problem # 2: Work problem Gerald can travel 40 miles on his motorbike at the same time, it takes Fitz to travel 15 miles on his bicycle. If Fitz rides his bike 20 mi/h slower than Gerald rides his motorbike, find each rate. Step 1: (R) – Let x be the rate of motorbike in mi/hr. Then, represent the rate of bicycle in mi/hr Remember: distance = rate x time Time for the motorbike = 40/x, Time for the bicycle = 15/ (x – 20) time for motorbike = time for bicycle Step 2: (D) 40= Step 3: (A) 40 (x – 20) = 40x – 800 = 15x40x – 25 x = 800 25x = 800 x = Substituting the value of x. − 20 = 32- 20 = 12 So, the rate of the motorbike is mi/h and the rate of the bicycle is mi/h. Step 4: (V) (2 Points ) Fill in the blank in step 1 to 3, for step 4 show the complete solution *

215.92 dollars is the answer

you need to give us more information since we can't answer

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

(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