Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

Last edited by Relentless (2015-12-18 17:23:47)

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

Hi!

Last edited by Relentless (2015-12-18 18:52:49)

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

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)

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

Last edited by Relentless (2015-12-19 18:51:56)

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

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)

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

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.

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

^ Agreed