Thread Rating:

Poll

19 votes (50%)
13 votes (34.21%)
6 votes (15.78%)
2 votes (5.26%)
11 votes (28.94%)
3 votes (7.89%)
6 votes (15.78%)
5 votes (13.15%)
11 votes (28.94%)
8 votes (21.05%)

38 members have voted

Gialmere
Gialmere
Joined: Nov 26, 2018
  • Threads: 42
  • Posts: 2374
June 23rd, 2022 at 4:41:46 PM permalink
Quote: ChesterDog

Turn the cold water faucet on by an angle of 43 degrees.

Call the hot water flow H. With respect to the cold temperature, the energy supplied to the shower is proportional to (H)(105 - 45).

The cold water flow is some fraction (f) of the hot water flow. With respect to the cold water temperature, the energy supplied to the shower by the cold water is proportional to (fH)(45 - 45) = 0.

The total flow of 98.6F water is H + fH. The energy of the 98.6F water with respect to 45F is (H + fH)(98.6 - 45).
Then: (105 - 45)H = (98.6 - 45)( H + fH).

Solve for f: f = 8 / 67.

Then the angle for the cold water would be: 360(8/67) ≈ 43 degrees.

link to original post


Correct!!

Very good.

Add how much you've rotated each and divide by the total rotation to get the average temperature.

(105(360)+(45)(x))/(360+x)=98.6

Solving for x:

x = 42.985 degrees

--------------------------------------------------

She is wrapped up in her towel and as she walks past her husband who is going into the shower they hear a knock at the door.

"You go get that," her husband says and hops into the shower.

Sighing the woman went to the door still wrapped in her towel. She opens the door expecting the mailman but instead sees her neighbor, Aaron standing there.

They stare shocked at each other when Aaron says "I'll pay you 800 dollars to drop that towel"

Thinking for a second the woman drops her towel. Aaron looks for a minute, pays her 800 dollars, and then leaves.

The woman goes back past the bathroom when her husband calls out: "Hey honey, who was at the door?"

"Oh just Aaron from next door" she answers

"Great!" Her husband replied. "Did he mention the 800 dollars he owes me?"
Have you tried 22 tonight? I said 22.
Gialmere
Gialmere
Joined: Nov 26, 2018
  • Threads: 42
  • Posts: 2374
June 24th, 2022 at 8:00:51 AM permalink


Use each digit 1-9 only once each, so that one number multiplied by another equals the third. One example is 12*483=5796.

How many more of these can you find?
Have you tried 22 tonight? I said 22.
gordonm888
Administrator
gordonm888
Joined: Feb 18, 2015
  • Threads: 55
  • Posts: 3700
Thanks for this post from:
Gialmere
June 24th, 2022 at 8:57:22 AM permalink
Quote: Gialmere



Use each digit 1-9 only once each, so that one number multiplied by another equals the third. One example is 12*483=5796.

How many more of these can you find?

link to original post


This one seems to allow diagonal moves, which is different than its predecessor puzzle.
So many better men, a few of them friends, are dead. And a thousand thousand slimy things live on, and so do I.
Gialmere
Gialmere
Joined: Nov 26, 2018
  • Threads: 42
  • Posts: 2374
June 24th, 2022 at 4:39:27 PM permalink
Quote: Gialmere

Use each digit 1-9 only once each, so that one number multiplied by another equals the third. One example is 12*483=5796.

How many more of these can you find?


Buuuzzzzzzz...

The other possibilities are...
18 , 297 , 5346
27 , 198 , 5346
28 , 157 , 4396
39 , 186 , 7254
42 , 138 , 5796
48 , 159 , 7632

-----------------------------------------------

Times were tough.
Have you tried 22 tonight? I said 22.
ThatDonGuy
ThatDonGuy
Joined: Jun 22, 2011
  • Threads: 110
  • Posts: 5413
Thanks for this post from:
Gialmere
June 24th, 2022 at 5:09:59 PM permalink
Quote: Gialmere

Use each digit 1-9 only once each, so that one number multiplied by another equals the third. One example is 12*483=5796.

How many more of these can you find?

link to original post



Solved with brute force:

28 x 157 = 4396
18 x 297 = 5346
27 x 198 = 5346
12 x 483 = 5796
42 x 138 = 5796
4 x 1738 = 6952
48 x 159 = 7632
39 x 186 = 7254
4 x 1963 = 7852

Wizard
Administrator
Wizard
Joined: Oct 14, 2009
  • Threads: 1423
  • Posts: 24357
June 26th, 2022 at 2:39:38 PM permalink
Find a ten-digit number such that:

  • The first digit of the number is the number of 0's in the entire number.
  • The second digit of the number is the number of 1's in the entire number.
  • The third digit of the number is the number of 2's in the entire number.
  • The 4th digit of the number is the number of 3's in the entire number.
  • The 5th digit of the number is the number of 4's in the entire number.
  • The 6th digit of the number is the number of 5's in the entire number.
  • The 7th digit of the number is the number of 6's in the entire number.
  • The 8th digit of the number is the number of 7's in the entire number.
  • The 9th digit of the number is the number of 8's in the entire number.
  • The 10th digit of the number is the number of 9's in the entire number.
It's not whether you win or lose; it's whether or not you had a good bet.
ThatDonGuy
ThatDonGuy
Joined: Jun 22, 2011
  • Threads: 110
  • Posts: 5413
June 26th, 2022 at 3:10:28 PM permalink
Quote: Wizard

Find a ten-digit number such that:

  • The first digit of the number is the number of 0's in the entire number.
  • The second digit of the number is the number of 1's in the entire number.
  • The third digit of the number is the number of 2's in the entire number.
  • The 4th digit of the number is the number of 3's in the entire number.
  • The 5th digit of the number is the number of 4's in the entire number.
  • The 6th digit of the number is the number of 5's in the entire number.
  • The 7th digit of the number is the number of 6's in the entire number.
  • The 8th digit of the number is the number of 7's in the entire number.
  • The 9th digit of the number is the number of 8's in the entire number.
  • The 10th digit of the number is the number of 9's in the entire number.

link to original post



7,210,000,100
Seven 0s, two 1s, one 2, and one 7

Wizard
Administrator
Wizard
Joined: Oct 14, 2009
  • Threads: 1423
  • Posts: 24357
June 26th, 2022 at 3:56:37 PM permalink
Quote: ThatDonGuy


7,210,000,100
Seven 0s, two 1s, one 2, and one 7


link to original post




I count only six 0's
It's not whether you win or lose; it's whether or not you had a good bet.
ThatDonGuy
ThatDonGuy
Joined: Jun 22, 2011
  • Threads: 110
  • Posts: 5413
June 26th, 2022 at 4:12:47 PM permalink
Quote: Wizard

Quote: ThatDonGuy


7,210,000,100
Seven 0s, two 1s, one 2, and one 7


link to original post




I count only six 0's

link to original post



It's 6,210,001,000
Six 0s, two 1s, one 2, and one 6

unJon
unJon
Joined: Jul 1, 2018
  • Threads: 14
  • Posts: 3469
June 26th, 2022 at 4:18:17 PM permalink
Quote: Wizard

Find a ten-digit number such that:

  • The first digit of the number is the number of 0's in the entire number.
  • The second digit of the number is the number of 1's in the entire number.
  • The third digit of the number is the number of 2's in the entire number.
  • The 4th digit of the number is the number of 3's in the entire number.
  • The 5th digit of the number is the number of 4's in the entire number.
  • The 6th digit of the number is the number of 5's in the entire number.
  • The 7th digit of the number is the number of 6's in the entire number.
  • The 8th digit of the number is the number of 7's in the entire number.
  • The 9th digit of the number is the number of 8's in the entire number.
  • The 10th digit of the number is the number of 9's in the entire number.

link to original post




Letís do it iteratively from a number thatís all 0s.

Start with 0,000,000,000.
Go to: 9,000,000,000.
Next: 8,000,000,010.
Next: 6,210,001,000.
Done.

Is that the only one?
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.

  • Jump to: