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3 years ago

0.41666666666 as a fraction

Mathematics

2 answers:

andriy [413]3 years ago

8 0

41666666666 /100000000000

Simplified=

20833333333 /50000000000

Ymorist [56]3 years ago

7 0

First, we let x be the number. Since x is a repeated decimal, we need to get rid of the repeated 6. So we times 1000 to x:

1000x = 416.6666...

Then we multiply 100 to x:

100x = 41.66666...

Now, we can subtract them:

1000x - 100x = 900x

416.6666... - 41.66666... = 375

900x = 375

Divide both sides by 900:

x = 375/900

It just needs to be simplified:

375/900 = 75/180 = 15/36 = 5/12

So,

0.41666666666 = 5/12

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Since the enactment of a smoking ban in a particular city, the number of smokers has slowly declined. Statistics show that the

AlexFokin [52]

Answer:

11.5%

Step-by-step explanation:

Let the number of smokers before ban = 100

Decrease in 1st month = 3% , of 100 = 3

Smokers after 1st month = 100 - 3 = 97

Decrease in 2nd month = 2%, of 97 = 1.94

Smokers after 2nd month = 97 - 1.94 = 95.06

Decrease in 3rd month = 5%, of 95.06 = 4.75

Smokers after 3rd month = 95.06 - 4.75 = 90.31

Decrease in 4th month = 2%, of 90.31 = 1.80

Smokers after 4th month = 90.31 - 1.80 = 88.51

Decrease in smokers after 4th month = (Decrease / old value) x 100

[ (100 - 88.51) / 100 ] x 100 = (11.49 / 100) x 100

= 11.5%

5 0

3 years ago

10(x+3)-(-9x-4)= x-5 +3

kakasveta [241]

Answer:

Step-by-step explanation:

Simplifying

10(x + 3) + -1(-9x + -4) = x + -5 + 3

Reorder the terms:

10(3 + x) + -1(-9x + -4) = x + -5 + 3

(3 * 10 + x * 10) + -1(-9x + -4) = x + -5 + 3

(30 + 10x) + -1(-9x + -4) = x + -5 + 3

Reorder the terms:

30 + 10x + -1(-4 + -9x) = x + -5 + 3

30 + 10x + (-4 * -1 + -9x * -1) = x + -5 + 3

30 + 10x + (4 + 9x) = x + -5 + 3

Reorder the terms:

30 + 4 + 10x + 9x = x + -5 + 3

Combine like terms: 30 + 4 = 34

34 + 10x + 9x = x + -5 + 3

Combine like terms: 10x + 9x = 19x

34 + 19x = x + -5 + 3

Reorder the terms:

34 + 19x = -5 + 3 + x

Combine like terms: -5 + 3 = -2

34 + 19x = -2 + x

Solving

34 + 19x = -2 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

34 + 19x + -1x = -2 + x + -1x

Combine like terms: 19x + -1x = 18x

34 + 18x = -2 + x + -1x

Combine like terms: x + -1x = 0

34 + 18x = -2 + 0

34 + 18x = -2

Add '-34' to each side of the equation.

34 + -34 + 18x = -2 + -34

Combine like terms: 34 + -34 = 0

0 + 18x = -2 + -34

18x = -2 + -34

Combine like terms: -2 + -34 = -36

18x = -36

Divide each side by '18'.

x = -2

Simplifying

x = -2

5 0

3 years ago

Read 2 more answers

What is the difference in simplest form? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%5E2%2B3n%2B2%7D%7Bn%5E2%2B6n%2B8%7D-%5

Paha777 [63]

$\bf \cfrac{n^2+3n+2}{n^2+6n+8}-\cfrac{2n}{n+4}\implies \cfrac{n^2+3n+21}{(n+4)(n+2)}-\cfrac{2n}{n+4}
\\\\\\
\textit{so our LCD will just be (n+4)(n+2)}
\\\\\\
\cfrac{n^2+3n+2~~~~-~~~~(n+2)(2n)}{(n+4)(n+2)}
\\\\\\
\cfrac{n^2+3n+2~~~~-~~~~(2n^2+4n)}{(n+4)(n+2)}
\\\\\\
\cfrac{n^2+3n+2~~~~-~~~~2n^2-4n}{(n+4)(n+2)}
\implies 
\cfrac{-n^2-n+2}{(n+4)(n+2)}
\\\\\\
\cfrac{-(n^2+n-2)}{(n+4)(n+2)}\implies \cfrac{-\underline{(n+2)}(n-1)}{(n+4)\underline{(n+2)}}\implies \cfrac{-(n-1)}{n+4}\implies \cfrac{1+n}{n+4}$

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3 years ago

The accounts in the ledger of Marigold Corp. contain the following balances on July 31, 2019. Accounts Receivable $6,870 Prepaid

Free_Kalibri [48]

Answer:

Accounts Receivable $6,762 Prepaid Insurance $1,994 Accounts Payable 8,119 Maintenance And Repairs Expense 956 Cash ? Service Revenue 10,298 Equipment 50,033 Dividends 617 Gasoline Expense 570 ... The accounts in the ledger of Tempus Fugit Delivery Service contain the following balances on July 31, ...

Step-by-step explanation:

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3 years ago

9 3/5√8/15 what is the quotient for this

Blababa [14]

Answer:

the answer is 81/8

alternative forms: 10 1/8 or 10.125

Step-by-step explanation:

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4 0

3 years ago