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balu736 [363]
3 years ago
15

Write the recurring decimal 0.473737373... as a fraction.​

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

Answer:

\frac{469}{990}

Step-by-step explanation:

We require 2 equations with the repeating digits after the decimal point.

By subtracting the 2 equations eliminates the repeating digits.

let x = 0.47373737.....

Multiply both sides by 100 and 10000, that is

100x = 47.3737... → (1)

10000x = 4737.3737.... → (2)

Subtract (1) from (2)

9900x = 4690 ( divide both sides by 9900 )

x = \frac{4690}{9900} = \frac{460}{990} ← in simplest form

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ira [324]

Answer:

42 Democrats members

12 Republicans members

2 other parties members

Step-by-step explanation:

We know that there are a total number of voters of

  • 75 (democrats)+17 (Republicans)+ 4( Other parties)=  96 voters

And we know that the bill has passed with 16 nore votes in favor that against, so let's calculate how many votes in favor of the bill we have:

  • 96 Votes = F (votes in Favor)+ A (votes against)

also: F= A+16= A = F-16, so:

  • 96= F+A= F+F-16 => F= 56 votes in favor of the bill

Thos 56 votes are the sum of the votes in favor from all the parties:

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also democrat's votes in favor are three times the sum of non-democrat's votes in favor:

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and we have 30 more democrats thar republicans voting in favor:

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56 = D+R+OTH => 56= D+D-30+D/3-D+30 =>

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  • R= D-30 => R= 12 (REPUBLICAN VOTES IN FAVOR)
  • OTH= D/3-R= 14-12= 2 (OTHER PARTIE'S VOTES IN FAVOR)

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