{RO5-1} Simplify:
2. 73

2 11/15

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=2.73¯¯¯(1)

With 1 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 101 = 10

Equation 2:

10X=27.33¯¯¯(2)

Subtract equation (1) from equation (2)

10XX9X===27.33...2.73...24.6

We get

9X=24.6

Solve for X

X=24.69

Multiply to eliminate 1 decimal places.

Here you multiply top and bottom by 1 10's

= 101 = 10

24.69×1010=24690

Find the Greatest Common Factor (GCF) of 246 and 90, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,

246÷690÷6=4115

Simplify the improper fraction,

=21115

In conclusion,

2.73¯¯¯=2 11/15

the first option is the answer.

(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