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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.

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Alex73 [517]
<span>

(1/6)/ 1.5 = 
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3 0
3 years ago
Simplify 18-6(2+4-1+2)÷3
Kryger [21]

Answer:

4

Step-by-step explanation:

Use PEDMAS

18 - 6(2+4-1+2) ÷ 3

18 - 6(6 - 1 + 2) ÷ 3

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Hope this helps!

5 0
3 years ago
What are the following expressions that are equivalent to 0.25.
wlad13 [49]

Answer:

Step-by-step explanation:

0.25=25/100=1/4

4 0
3 years ago
Can someone help me answer this pls.
Natali5045456 [20]
Y=-12

explanation multiply x by -3 to get y
4 0
3 years ago
Read 2 more answers
May I please get help with my math lesson if possible I don't know why they are 4 answers if 1 of the answers don't apply to any
Doss [256]

Answer: S1:E7 ; S2:E1 ; S3:E5

Step-by-step explanation:

What we know:

  • 3 answers apply
  • We need to find which answers go with each question

**A lot of info is problem-specific.

How to solve:

Since we only need to write the equations, we simply need to find the x and y variables, and the total.

Process:

Problem 1:

  • Find the x                                                                     5.50
  • Find the y                                                                     3
  • Find the total                                                                145
  • Write equation                                                      5.50 + 3 = 145

Problem 2:

  • Find the x                                                                     2.50
  • Find the y                                                                     0.75
  • Find the total                                                                25
  • Write equation                                                      2.50 + 0.75 = 25

Problem 3:

  • Find the x                                                                     2
  • Find the y                                                                     5
  • Find the total                                                                50
  • Write equation                                                        2 + 5 = 50

Solution: S1:E7 ; S2:E1 ; S3:E5

8 0
2 years ago
Read 2 more answers
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