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#6351 2015-12-28 16:58:54

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi Relentless and bobbym,

The solution #5613 is correct! Brilliant!

#5614. A fraction becomes 1/3, when 1 is subtracted from the numerator and it becomes 1/4, when 8 is added to its denominator. Find 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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#6352 2015-12-28 18:03:32

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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#6353 2015-12-28 18:35:14

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: 10 second questions

Hey!

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#6354 2015-12-29 17:16:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym and Relentless,

The solution #5614 is correct! Excellent, bobbym and Relentless!

#5615. Solve:
x + y = 5 and 2x - 3y = 4.


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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#6355 2015-12-29 19:33:03

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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#6356 2015-12-29 23:55:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5615 is correct! Neat work!

Solve:

#5616. 3x + 4y = 10 and 2x - 2y = 2.

#5617. 3x - 5y - 4 = 0 and 9x = 2y + 7.


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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#6357 2015-12-30 00:29:40

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,436
Website

Re: 10 second questions


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#6358 2015-12-30 10:44:18

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.

Offline

#6359 2015-12-30 15:24:31

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi zetafunc and bobbym,

The solutions #5616 and #5617 are correct!

Excellent, zetafunc!

The solution #5616 is correct, bobbym! Good work!

#5618. Solve: 2(3x - y) = 5xy and 2(x + 3y) = 5xy.


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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#6360 2015-12-30 15:38:17

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: 10 second questions

That one's a little different (:

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#6361 2015-12-30 17:27:28

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi Relentless,

The solution #5618 is correct! Brilliant!

#5619. Evaluate the following:

.


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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#6362 2015-12-30 18:10:35

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

#6363 2015-12-31 14:50:43

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5619 is correct! Excellent!

#5620. Evaluate:

.


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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#6364 2015-12-31 15:19:59

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

#6365 2015-12-31 23:30:22

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5620 is correct! Excellent!

#5621. One number is greater than thrice the other number by 2. If 4 times the smaller number exceeds the greater by 5, 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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#6366 2016-01-01 06:28:51

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

#6367 2016-01-01 15:49:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5621 is correct! Neat work!

#5622. Solve: 0.5x + 0.8y = 0.44 and 0.8x + 0.6y = 0.5.


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

#6368 2016-01-01 19:20:44

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

#6369 2016-01-01 20:13:20

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: 10 second questions

Hello;

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#6370 2016-01-01 23:36:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym and Relentless,

The solution #5622 is correct! Good work!

#5623. The difference of the squares of two positive numbers is 45. The square of the smaller number is four times the larger number. 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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#6371 2016-01-01 23:50:35

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,436
Website

Re: 10 second questions

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#6372 2016-01-02 00:17:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi zetafunc,

The solution #5623 is correct! Neat work!

#5624. If one root of the equation

is twice the other, then find the value of 'a'.


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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#6373 2016-01-02 00:45:00

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,436
Website

Re: 10 second questions

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#6374 2016-01-02 00:50:27

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: 10 second questions

Hello,
I am not totally sure of the interpretation, but I have assumed that you are after a single a-value that gives two x-values where one is double the other.

Last edited by Relentless (2016-01-02 00:51:24)

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#6375 2016-01-02 05:57:36

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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