90 students represent x percent of the boys at jones elementary school. if the boys at jones elementary make up 40% of the total school population of x students, what is x?

a. 125
b. 150
c. 225
d. 250
e. 500

C. 225

Step-by-step explanation:

To get the total population (x), we will take the 40% of the total population and equate to 90

40%× x = 90

40/100 × x = 90

40x/100= 90

Cross multiplying,

40x = 100 × 90.

x = 9000/40

x =225 C

the answer would be 0.54

(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