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#6251 2015-12-16 15:20:31
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi bobbym,
The solution #5575 is correct! Good work!
#5576. A and B each have a certain number of mangoes. A says to B, "if you give 30 of your mangoes, I will have twice as many as left with you". B replies, "if you give me 10, I will have thrice as many as left with you." How many mangoes does each have?
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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#6252 2015-12-16 17:51:47
- 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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#6253 2015-12-16 18:14:44
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi bobbym,
The solution #5576 is correct! Neat work!
#5577. If two zeroes of the polynomial
are , find other zeroes.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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#6254 2015-12-16 19:38:18
- 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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#6255 2015-12-16 19:59:54
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi bobbym,
The solution #5577 (two values) are correct! Brilliant!
#5578. Obtain other zeroes of the polynomial
, if two of its zeroes are .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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#6256 2015-12-17 16:31:35
- 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.
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#6257 2015-12-17 17:22:39
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi,
The solution #5578 is perfect! Remarkable!
#5579. Solve:
(i) 3x - 5y = -1 and x - y = -1.
(ii) x + 2y = -1 and 2x - 3y = 12.
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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#6258 2015-12-18 15:16:07
- 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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#6259 2015-12-18 16:45:04
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi bobbym,
The solutions (two parts) in #5579 is perfect! Excellent!
#5580. Solve for 'x' and 'y':
.
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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#6260 2015-12-18 17:07:07
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: 10 second questions
Last edited by Relentless (2015-12-18 17:23:47)
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#6261 2015-12-18 17:50:56
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi Relentless,
The solution set #5580 is perfect! Remarkable!
#5581. Solve:
217x + 131y = 913;
131x + 217y = 827.
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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#6262 2015-12-18 18:52:39
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: 10 second questions
Hi!
Last edited by Relentless (2015-12-18 18:52:49)
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#6263 2015-12-18 20:37:25
- 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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#6264 2015-12-18 23:31:16
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi Relentless and bobbym,
The solution #5581 is perfect! Excellent, Relentless and bobbym!
#5582. If
, find the value of .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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#6265 2015-12-19 03:58:48
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: 10 second questions
I think there are several solutions because there are two solutions to sinθ = 4/5, namely 2pi*n + pi - sin^(-1)(4/5) and 2pi*n + sin^(-1)(4/5). I might guess the one you wanted was 1/2, but I also got the following by substituting every combination:
-1/2, +/-7/4, +/-25/4, +/-25/14, +/-25/3*cos(3-sin^(-1)(4/5)), 25/3*cos(3+sin^(-1)(4/5)), 7/3*cos(3-sin^(-1)(4/5))
Last edited by Relentless (2015-12-19 04:40:53)
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#6266 2015-12-19 07:24:48
- 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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#6267 2015-12-19 15:35:12
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi Relentless and bobbym,
The solution #5582 is correct! Excellent!
#5583. Solve:
2x - y = 4;
y - z = 6; and
x - z = 10.
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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#6268 2015-12-19 18:03:01
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: 10 second questions
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#6269 2015-12-19 18:23:03
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi Relentless,
The solution set #5583 is perfect! Brilliant!
#5584. 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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#6270 2015-12-19 18:50:46
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: 10 second questions
Last edited by Relentless (2015-12-19 18:51:56)
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#6271 2015-12-19 23:42:32
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi Relentless,
The solution set #5584 is perfect! Excellent!
#5585. 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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#6272 2015-12-20 00:42:43
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: 10 second questions
Hi;
2(1/2 + 3) - 6(1/2 - 1/3)
Last edited by Relentless (2015-12-20 00:44:15)
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#6273 2015-12-20 14:11:02
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: 10 second questions
Hi Relentless,
The solution#5585 is correct! Excellent!
#5586. 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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#6274 2015-12-20 21:40:05
- 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.
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#6275 2015-12-21 00:26:57
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: 10 second questions
^ Agreed 
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