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# If 0.5959 = 59x, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 58390
If 0.5959 = 59x, then x =  [#permalink]

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14 Jan 2019, 03:00
00:00

Difficulty:

15% (low)

Question Stats:

82% (01:08) correct 18% (00:54) wrong based on 68 sessions

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If 0.5959 = 59x, then x =

A. 0.01
B. 0.0101
C. 0.11
D. 0.111
E. 1.01

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Re: If 0.5959 = 59x, then x =  [#permalink]

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14 Jan 2019, 04:15
$$\frac{5959}{10000} = 59x$$

$$\frac{101}{10000} = x$$

x = 0.0101

OPTION: B
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Re: If 0.5959 = 59x, then x =  [#permalink]

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14 Jan 2019, 07:55
1
Answer is B with [b]eswarchethu135 on this one.
[/b]

Bring 0.5959 in the fraction form of 5959/10000 = 59x.

Next is bring down 59 in the denominator i.e 5959/10000x59 = x

After dividing you get 101/10000 = x

Thus 0.0101 is the answer in decimal form

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Re: If 0.5959 = 59x, then x =  [#permalink]

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14 Jan 2019, 18:52
Bunuel wrote:
If 0.5959 = 59x, then x =

A. 0.01
B. 0.0101
C. 0.11
D. 0.111
E. 1.01

Simplifying, we have:

x = 0.5959/59

x = 0.59/59 + 0.0059/59

x = 0.01 + 0.0001

x = 0.0101

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If 0.5959 = 59x, then x =  [#permalink]

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15 Jan 2019, 01:38
Bunuel wrote:
If 0.5959 = 59x, then x =

A. 0.01
B. 0.0101
C. 0.11
D. 0.111
E. 1.01

we can write 0.5959 as $$\frac{5959}{10000}$$
and 5959 as $$(59*100)+59$$
After factorizing 59, we will have: $$\frac{59(100+1)}{10000}$$

Here is the equation:
$$\frac{59(100+1)}{10000}=59x$$

canceling out 59, we get the value of x as:

$$x=101/10000$$

$$x=0.0101$$
If 0.5959 = 59x, then x =   [#permalink] 15 Jan 2019, 01:38
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