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
VMariaS [17]
3 years ago
6

Convert into fraction: 0.612 the 12 reapeating forever plz help

Mathematics
2 answers:
Charra [1.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

x=0.6121212... (1)

10x=6.121212...   (2)

1000 x=612.121212...   (3)

(3)-(2) gives

990 x=606

330x=202

165x=101

x=(101)/165

Mars2501 [29]3 years ago
3 0

Answer:

\large\boxed{0.6\overline{12}=\dfrac{101}{165}}

Step-by-step explanation:

x=0.612121212...\qquad\text{multiply both sides by 10}\\\\(1)\qquad10x=6.12121212...\qquad\text{multiply both sides by 100}\\\\(2)\qquad1000x=612.12121212...\qquad\text{subtract (1) from (2)}\\\\1000x-10x=612.12121212...-6.12121212...\\\\990x=606\qquad\text{divide both sides by 990}\\\\x=\dfrac{606}{990}\qquad\text{simplify}\\\\x=\dfrac{606:6}{990:6}\\\\x=\dfrac{101}{165}

You might be interested in
Please help me with this Algebra I question.
horrorfan [7]

Answer:

-\dfrac{b^2}{16a^4}

Step-by-step explanation:

Given expression:

\dfrac{(2a)^{-2}b^5}{-4a^2b^3}

\textsf{Apply the exponent rule}\quad (ab)^c=a^c \cdot b^c:

\implies \dfrac{2^{-2}a^{-2}b^5}{-4a^2b^3}

Separate the variables:

\implies \dfrac{2^{-2}}{-4}\cdot \dfrac{a^{-2}}{a^2}\cdot \dfrac{b^5}{b^3}

\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:

\implies \dfrac{2^{-2}}{-4}\cdot a^{-2-2}\cdot b^{5-3}

\implies \dfrac{2^{-2}}{-4}\cdot a^{-4}\cdot b^{2}

\textsf{Apply the exponent rule}\quad a^{-n}=\dfrac{1}{a^n}:

\implies \dfrac{1}{-4(2^2)}\cdot \dfrac{1}{a^4}\cdot b^{2}

\implies -\dfrac{1}{16}\cdot \dfrac{1}{a^4}\cdot b^{2}

Simplify:

\implies -\dfrac{b^2}{16a^4}

5 0
2 years ago
If y = 5x − 4, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
Mama L [17]

Answer:

x can be any value, x will be the input, y will be the output.

Step-by-step explanation:

If x = 3, If x = 6, If x = 9,

y = 5x - 4

y = 5 (3, 6, or 9) - 4

y = 11, y = 26, y = 41.

These are all possible sets of ordered pairs, but ANY Real number can be represented as X, and it will need to be in an order. These numbers are all positive, so in this case, you just have to draw out Quadrant 1 in a Coor. Plane.

<u>X (Input)  I  Y (Output)</u>

3              I  11

6              I  26

9              I  41

See, when x increases by 3, Y increases by 15. If you go on, it will be the same path, same pattern.

Hope This Helps! :)

8 0
3 years ago
Simplify the expression below:<br><br> p ÷ (-5) ≥ - 9<br><br> ⮜|-------|--------|➤
wlad13 [49]

Answer:

Step-by-step explanation:

Rank Topic Problem Formatted Problem

1 Factor x^2‑4 x2−4x2‑4

2 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16

3 Graph y=‑x^2 y=−x2y=‑x2

View 97 more rows

{1, 2, 3, 4, 5, …}

WHOLE NUMBERS

{0, 1, 2, 3, 4, …}

INTEGERS

{…, 3, 2, 1, 0, 1, 2, …}

RATIONAL NUMBERS

All numbers that can be written in the form , where a

and b are integers and .

IRRATIONAL NUMBERS

Real numbers that cannot be written as the quotient of two

integers but can be represented on the number line.

REAL NUMBERS

Include all numbers that can be represented on the number

line, that is, all rational and irrational numbers.

PRIME NUMBERS

A prime number is a number greater than 1 that has only

itself and 1 as factors.

Some examples:

2, 3, and 7 are prime numbers.

COMPOSITE NUMBERS

A composite number is a number that is not prime. For

example, 8 is a composite number since

8 = 2 . # 2 # 2 = 23

Rational Numbers

Real Numbers

23, 22.4, 21 , 0, 0.6, 1, etc. 4_ 2 5

25VN

Irrational

Numbers

Integers p 23, 22, 21, 0, 1, 2, 3, p

Whole Numbers 0, 1, 2, 3, p

Natural Numbers 1, 2, 3, p

3,

VN2, p, etc.

b Z 0

a>b

–5 –4 –3

Negative integers Positive integers

4 0
3 years ago
Read 2 more answers
The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ti
stiv31 [10]

The first thing we must do for this case is to define variables: x: number of tickets sold before the tournament. y: number of tickets sold at the door. The system of equations that adapts to this situation is given by: x + y = 820 x-y = 80 Answer: The correct options are: option 2 option 3 option 5

4 0
3 years ago
Read 2 more answers
9 times a number has 1 subtracted from it. The result is trebled. The answer is the same if you add 7 to twice the number and mu
Natali [406]

Answer: 4

Step-by-step explanation: 1) You need to first understand the question and a way to do that is to list plainly the information given.

2) Let the number be (X)

3) For the equation from the first sentence given; 3(9x-1)

4) From the second sentence; 7(7+2x)

5) Equating both sentences together, since the question says they are the same 3(9x-1) = 7(7+2x)

6) Opening the bracket/expanding the equation.... 27x-3=49+14x

Solving further we will have 13x = 52

X= 52/13

= 4

3 0
3 years ago
Read 2 more answers
Other questions:
  • If x+1 and x-1 are the factors of the polynomial ax^3 + x^2 - 2x +b,find the values of a and b
    11·1 answer
  • Write an algebraic expression for the word phrase.
    15·2 answers
  • If there were 20 students in the math 101 class how many of them made an a in the course
    8·1 answer
  • What is the product of the expression? Write your answers in standard form. <br><br> (3x - 2) ^2
    13·1 answer
  • Write the expression in standard form: 5(3a) + 8(-5b) + (4 * c * 6) * = Multiplication symbol
    9·1 answer
  • Determine the domain of the following graph
    10·1 answer
  • 20 POINTS!!PLEASE HELP!!! At the school carnival, the sixth graders are making directional arrows, as shown
    5·2 answers
  • In the similar quadrilaterals below, what is the measure of ∠G?
    8·1 answer
  • Help me ASAP I AM ALL MOST DONE!!! &gt;:d
    14·1 answer
  • If | 8x -2 | &lt; 4, Which of the following is true of x? Explain as well.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!