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
MrRa [10]
3 years ago
8

Complete the table by converting each decimal to a fraction. Show your work. Repeating decimals. 0.2, 0.5, 0.7

Mathematics
1 answer:
Helga [31]3 years ago
5 0

<u>Answers </u>

Part 1 = 2/9


Part 2 =5/9


Part 3 =7/9



<u>Explanation</u>

To convert the a repeating decimals this are the steps;

Part 1

Let x = 0.222222... (i)

10x = 2.222222... (ii)


Subtract equation (i) from equation(ii)


10x = 2.222222....

<u> -x = 0.222222....</u>

9x = 2.00000..


∴ 9x = 2

Divide by 9 both sides;


x = 2/9


Part 2

Let x = 0.5555...

10x = 5.5555...

subtract equation (i) from equation (ii).


10x = 5.5555..

<u> - x = 0.5555..</u>

9x = 5.0000..


∴ 9x = 5

x = 5/9


Part 3

Let x = 0.7777....

10x = 7.7777...


Subtracting equation (i) from equation (ii)


10x = 7.7777...

<u> -x = 0.7777...</u>

9x = 7.000..


∴ 9x = 7


x = 7/9


Pattern noted

When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.

You might be interested in
Let ∠X and ∠Y be complementary. If sin(X) =
Lena [83]
<h3>Answer:</h3>

sin(Y) = 4/5

<h3>Step-by-step explanation:</h3>

The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.

_____

You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

8 0
3 years ago
The line y = 7x - 2 has a slope of 7 and a y-intercept of (-2 ,0). TRUE OR FALSE.
8_murik_8 [283]
The y int. is correct but you wrote it wrong it is (0, -2)
5 0
3 years ago
Can the following expressions be written in a simpler forms? If yes, write an expression for each problem. If not, explain why w
Alona [7]

Answer:

Both of them can be simplified.

Recall that 4 = 2^2.

2^7 / 4^2 = 2^7 / (2^2)^2 = 2^7 / 2^4 = 2^(7-4) = 2^3 = 8

Similarly, 2^7 / 2^4 = 2^(7-4) = 2^3 = 8

The answers to both exercises are 8.

6 0
2 years ago
last year Mrs del Greco spend $572 on gas. this year because she did not drive as much she spent $393 what is the percent change
rosijanka [135]

Answer:

68%

Step-by-step explanation:

Divide the amount she spent this year, by the amount she spent last year, in this case, 393 divided by 572 =0.68706293706, but we need to make it into hundredths, so it is 0.68, or 68%.

5 0
3 years ago
What is the answer to 23×-5​
Ray Of Light [21]

Answer:

23×-5

= -115

The answer is -115, easy peasy

5 0
3 years ago
Other questions:
  • Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. Wr
    14·1 answer
  • Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the
    15·1 answer
  • Please help me. This is being times and I really need help
    7·1 answer
  • Write 6.74 * 10^9 in standard notation.
    14·2 answers
  • Please help, this is due today!!
    5·2 answers
  • Elevations above sea level are given as positive values, while elevations below sea level are given as negative values. Tina is
    6·1 answer
  • Find the x-intercept of the following equation: 9x^2 + 2y=18
    6·1 answer
  • What is the equation of a line with slope<br> -2/3 and a y-intercept of —4 ?
    8·1 answer
  • SOMEONE PLEASE HELP!!!!!
    8·1 answer
  • 6⋅10
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!