1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amanda [17]
3 years ago
12

Repeated decimals can be written as an infinite geometric series to help convert them to a fraction. Consider the repeating deci

mal below.
0.232323… = 0.23 + 0.23(0.01) + 0.23(0.01)2 + …
What is a1?
What is r?
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

a1= 0.23

r=0.01

:)

Step-by-step explanation:

fgiga [73]3 years ago
4 0

Answer:

a_1=0.23 and r=0.1.

Step-by-step explanation:

It is given that Repeated decimals can be written as an infinite geometric series to help convert them to a fraction.  

Consider the repeating decimal below.

0.232323…=0.23+0.23(0.01)+0.23(0.01)^2+…

We need to find the value of a_1\text{ and }r.

a_1 is the first term of the series. So,

a_1=0.23

r is the common ratio of the series. So,

r=\dfrac{a_2}{a_1}=\dfrac{0.23(0.1)}{0.23}=0.1

Therefore, a_1=0.23 and r=0.1.

You might be interested in
Calculate the value of 36²-27²​
storchak [24]
567 is the answer to your question
3 0
3 years ago
Read 2 more answers
Claire is saving up to buy a new laptop that costs $849. She has $232 and is saving $28 each week. How many full weeks will it t
miss Akunina [59]

Subtract the amount she has saved from the price of the laptop:

849 - 232 = 617

Now divide the amount she still needs by the amount she saves per week:

617 / 28 = 22.04

Because the answer has a number to the right of the decimal, she will need to save for 23 full weeks to have enough money.

If she saves for 22 weeks, she would be $1 short:

22 x 28 = 616 + 232 = 848

5 0
3 years ago
Wilma works at a bird sanctuary and stores birdseed in plastic containers. She has 2 small containers that hold 8 pounds of bird
Amanda [17]

Answer:

 60 lbs left over

Step-by-step explanation:  Since the small containers hold 8 lbs each you multiply 8 by 2 since there are 2 containers. Same for the large, multiply 9 by 12 because each container holds 12 lbs and there is 9 containers. Then, you subtract 4 from that total because she already used 4 lbs.

x=(2*8)+(9*12)-4 Multiply

x=16+108-4 Simplify

x=120

So, before she fills the bird feeders she has 120 lbs of bird seed. There are 30 bird feeders and since they hold 2 lbs each you multiply 30 and 2. Then you subtract that from the 120 lbs because she is filling the bird feeders with that seed.

120- (30*2)

120-60= 60 lbs left over

3 0
3 years ago
Helpp plz i'll mark brainliest (see picture). <br> The second part is, What is the value of y?
Art [367]

Answer:

116*

Step-by-step explanation:

36* + 28* = 64*

180* - 64* = 116*

4 0
3 years ago
Multiply (-3x4y3z)(-4x2y3z).​
velikii [3]

Answer:

-3×4ycube z square (-4)×2y3

-12cube z square (-4)×2y3

48ycube z square×2y3

96ycube z square y cube

288y3 (yz)square

I hope you will understand these squares or cubes

3 0
4 years ago
Other questions:
  • a manufacturer of cotter pins knows that 5% of his product is defective .if he sells cotter pins in boxes of 100 and guarantes t
    6·1 answer
  • How many minutes should it take it her to walk 3 miles?
    11·1 answer
  • I need help with work
    5·2 answers
  • What is the mean of 12,24,8,&amp; 17?
    5·2 answers
  • (2x - 9)<br> (х + 39)<br> B<br> What’s the answer
    14·1 answer
  • Use factoring by difference of squares to solve the equation, x^2 - 81 = 0.
    8·1 answer
  • Penelope is skating at the ice rink. She travels 50 meters in 25 seconds.
    12·1 answer
  • Can someone help me?!
    13·1 answer
  • on Monday, 241 students went on a trip to the zoo. all 5 buses were filled and 6 students had to travel in cars. how many studen
    14·1 answer
  • what is the slope of the line that passes through the points (-2,7) and (2,-5)? Write your answer in simplest form.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!