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
eduard
3 years ago
11

Show that 30.1111... is a rational number.

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

We know that 30.1111... is a rational number because it ends in repeating decimals. We can show this by writing the number as a fraction using algebra.

x = 30.1111....

10x = 301.1111....

Subtract both sides by x

10x - x = 301.1111.... - 30.1111...

9x = 271

x = 271/9

The number can be rewritten as 271/9, which you can verify is the same number by checking on a calculator.

You might be interested in
What is 98,464 rounded to the nearest ten thousands ?
sleet_krkn [62]
100,000
because the 8 makes the 9 round up into a 10
6 0
3 years ago
The table shown below shows some values for functions f(x) and g(x). What is/are the solution(s) to f(x)=g(x)? Explain your answ
aleksandr82 [10.1K]

Answer: x = -1 and x = 1

Step-by-step explanation:

The solution to f(x) = g(x) is the point at which the two intersect , that is , the point at which they are equal. Checking through the table given ,it is only 9 and 12 that is common to both f(x) and g(x) .

Therefore : the solution to f(x) = g(x) is the point where x = -1 and x = 1

5 0
3 years ago
How do you find the measure of ECF?
tigry1 [53]

Answer:

37°

Step-by-step explanation:

∠ECF= ∠ACG

∠ACG= 90° - ∠GAC= 90° - 53°= 37°

6 0
3 years ago
Are these numbers reciprocals? a 2 and 1 1/2
faltersainse [42]

Answer:

no they are not reciprocal

Step-by-step explanation:

an example is the reciprocal of 2 would be 1/2

5 0
3 years ago
Help pls!! I’m bad at geometry lol
zavuch27 [327]

Answer:

The perimeter of a shape is the length around it.

Step-by-step explanation:

We will be using the x and y values and add them together to find the total perimeter.

To do this, let's find all the values of the 2 axis:

(2 to 4) = 2

(1 to 3) = 2

(4 to 10) = 6

(3 to 1) = 2

(10 to 12) = 2

(1 to 8) = 7

(12 to 2) = 10

(8 to 1) = 7

We now add these values together which gives us <em><u>38</u></em>. Don't forget to add the units afterwards (cm, m and so forth).

3 0
3 years ago
Other questions:
  • Identify the factors of 9x^2+24x+16
    10·1 answer
  • A square is always a rectangle but a rectangle is not always a square. Which of the following characteristics are shared by a sq
    6·2 answers
  • 5.1 divided by 104 rounded to the nearest tenth.
    13·2 answers
  • Which answer choice is equivalent to the expression 3x-1/2?
    12·1 answer
  • How do I solve this???
    5·1 answer
  • PLEASE HELP, I WILL GIVE YOU BRAINLIEST!
    5·2 answers
  • There is a 50% chance that you will go to a Baseball Game given that the weather is good. If there is a 60% chance that the weat
    6·2 answers
  • How do I solve for y=160x+2=y=280x-3?
    7·1 answer
  • A rectangle has an area of 8 square centimeters.
    7·1 answer
  • Frr3 po1nts<br>frr3 po11nts hurry and answer​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!