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#6001 2015-09-10 12:45:26

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi bobbym,

The solution #5489 is correct! Neat work!

#5490. The sum of a number and its reciprocal is

. Find the numbers.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6002 2015-09-10 19:02:18

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6003 2015-09-10 20:32:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi bobbym,

The solutions of #5490 is/are correct! Neat work!

#5491. The denominator of a fraction is 4 more than twice the numerator. When both the numerator and denominator are decreased by 6, then the denominator becomes  12 times the numerator. Determine the fraction.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6004 2015-09-10 22:00:38

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: 10 second questions

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#6005 2015-09-10 22:23:24

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6006 2015-09-10 23:15:25

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: 10 second questions


Only a friend tells you your face is dirty.

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#6007 2015-09-10 23:34:00

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi zetafunc, bobbym, and math9maniac,

The solution #5491 is flawless! Good work, zetafunc, bobbym, and math9maniac!

#5492. The sum of the squares of two positive integers is 208. If the square of the larger number is 18 times the smaller number, fnd the numbers.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6008 2015-09-10 23:34:58

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: 10 second questions

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#6009 2015-09-11 00:11:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi zetafunc,

The solution #5492 is correct! Excellent, zetafunc!

#5493. A bag contains 5 red balls, 8 white balls, 4 green balls, and 7 black balls. If one balls is drawn at random, find the probability that it is: 
(i) black
(i) red
(iii) not green.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6010 2015-09-11 03:04:20

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: 10 second questions

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#6011 2015-09-11 03:44:14

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi zetafunc,

The solution #5493 (all three parts) is/are correct! Marvelous, zetafunc!

#5494. Solve :

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6012 2015-09-11 03:50:48

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: 10 second questions

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#6013 2015-09-11 05:28:00

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6014 2015-09-11 06:37:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi zetafunc and bobbym,

I shall take the solutions #5494 correct! Excellent, zetafunc and bobbym!

The problem ought to have been
Solve :

and the solutions :
.

#5495. The x-coordinate of a point P is twice its y-coordnate. If P is equidistant from Q (2,-5) and R (-3,6), then find the coordnates of P.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6015 2015-09-11 19:24:06

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6016 2015-09-11 20:44:35

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi bobbym,

The solution #5495 is correct! Neat work!

#5496. If the points A (4,3) and B (x,5) are on the circle with center O (2,3), find the value of x.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6017 2015-09-13 06:34:23

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: 10 second questions


Only a friend tells you your face is dirty.

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#6018 2015-09-13 12:16:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi math9maniac,

The solution 5496 is correct! Neat work!

#5497. Fnd the value of 'k' for which the given equation has equal roots. Also, find the roots.

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6019 2015-09-13 19:13:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6020 2015-09-13 19:45:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi bobbym,

The solution #5497 is correct (both parts)! Excellent, bobbym!

#5498. Find the Greatest Common Divisor and Least Common Multiple of 144, 180, and 192.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#6021 2015-09-14 00:27:03

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: 10 second questions

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#6022 2015-09-14 02:50:12

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#6023 2015-09-14 18:00:58

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,285

Re: 10 second questions

Hi zetafunc and bobbym,

The solution #5498 s correct! Neat work, zetafunc and bobbym!

#5499.  If twice the son's age in years is added to the father's age, the sum is 70. But if twice the father's age is added to the son's age, the sum is 95. Find the ages of the father and son.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#6024 2015-09-14 21:19:17

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: 10 second questions

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#6025 2015-09-14 21:50:05

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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