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
Mashutka [201]
3 years ago
12

Find the rational number whose decimal expansion is 0.3344444

Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever

==============================================

Work Shown:

I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...

Now let x = 0.334444...

Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...

And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...

Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
You might be interested in
A right triangle has one angle that measures 6 degrees. What is the measure of the other acute angle?
mylen [45]

84

Step-by-step explanation:

All three angles add up to 180 degrees.

Since it is a right triangle, there is a 90 degrees angle. And we know another angle is 6 degree. So we use the formula: 180 - (known angle + known angle) = unknown angle

Plugging in the information we get: 180 - (90 + 6) = x

180 - 96 = 84

So x = 84

We can check our work by adding all known angles to see if it is equal to 180 using the formula known angle + known angle + known angle = 180 degrees

Plugging in the information we get: 90 + 6 + 84 = 180

96 + 84 = 180

180 = 180

So the answer 84 is correct

3 0
1 year ago
Write the ratio as a fraction in simplest form.<br><br> $5.40 for 24 cans (per can)
galina1969 [7]

Answer:

9/40

Step-by-step explanation:

To find the price per can, we take the cost and divide by the number of cans

$5.40/24

5.4/24

Since there is a decimal in the numerator, multiply the top and bottom by 10

5.4/24 * 10/10

54/240

Divide the top and bottom by 6

9/40

4 0
2 years ago
What is 9 3/4 as a percent
aalyn [17]

yes it's 975% because the 9=900 and 3/4=75
3 0
3 years ago
Read 2 more answers
What is the answer P=4x+qx-5
Nastasia [14]

p=qx+4x−5 would be the answer to your problem. Math Papa is a good website to use for alegebra or math



8 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP<br> what is the square root of 180 in simplest radical form
Artyom0805 [142]

Answer:

6 square foot 5. hope this helps

6 0
3 years ago
Other questions:
  • How can I simplify 84/144 to the lowest term.
    8·2 answers
  • PLEASEEEE ANSWERRRRR PLEASEE! I WILL MARK BRAINLIESTTTT
    9·2 answers
  • When the sum of an unknown number and twenty two is divided by the unknown number, the quotient is 12. What is the unknown numbe
    8·1 answer
  • What are the coordinates of the vertex of the graph of
    8·1 answer
  • Someone please give me the answers...And thank you
    7·2 answers
  • Write a quadratic equation in standard form with the roots of 2 and -5. Assume a = 1.
    13·1 answer
  • What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?
    10·1 answer
  • Solve each problem using a formula for perimeter or area<br> ill give brainliest!!!!!
    13·2 answers
  • Eighty percent of students in your school own a bike. Of a sample of students in your school, the ratio of students who own a bi
    12·1 answer
  • The standard deviation of Y is 100. The square root of the sum of the squared residuals divided by n-2 equals 15. Does this sugg
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!