Show your work and solve 10w=6+24

w=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

10w=6+24

10w=(6+24)(Combine Like Terms)

10w=30

10w=30

Step 2: Divide both sides by 10.

10w /10= 30 /10

w=3

fourth month

step-by-step explanation:

it is the one with the most keychains.

(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