A wise man once said, "400 reduced by 3 times my age is 208" What is the mans age

96

Step-by-step

explanation:

400−2x=208. 400−208=2x. 192=2x. x=96

The wise man is 64 years old

Step-by-step explanation:

"400 reduced by 3 times my age is 208"

we don't know the man's age, so we can substitute it for x. This means 400-3x=208. Using this equation, we can now solve for x to find the man's age.

400-3x=208

400-208=3x

192=3x

64=x

Checking

400-3•64=

400-192=208

(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

correct answer was 0.5