Easy math puzzles
Poll
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| | 12 votes (26.66%) | ||
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45 members have voted
June 23rd, 2022 at 4:41:46 PM
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Quote: ChesterDogTurn 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.
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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
(105(360)+(45)(x))/(360+x)=98.6
Solving for x:
x = 42.985 degrees
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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?"
"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.
June 24th, 2022 at 8:00:51 AM
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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.
June 24th, 2022 at 8:57:22 AM
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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?
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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.
June 24th, 2022 at 4:39:27 PM
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Quote: GialmereUse 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
18 , 297 , 5346
27 , 198 , 5346
28 , 157 , 4396
39 , 186 , 7254
42 , 138 , 5796
48 , 159 , 7632
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Times were tough.
Have you tried 22 tonight? I said 22.
June 24th, 2022 at 5:09:59 PM
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Quote: GialmereUse 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?
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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
June 26th, 2022 at 2:39:38 PM
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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.
“Extraordinary claims require extraordinary evidence.” -- Carl Sagan
June 26th, 2022 at 3:10:28 PM
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Quote: WizardFind 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.
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7,210,000,100
Seven 0s, two 1s, one 2, and one 7
June 26th, 2022 at 3:56:37 PM
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Quote: ThatDonGuy
7,210,000,100
Seven 0s, two 1s, one 2, and one 7
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I count only six 0's
“Extraordinary claims require extraordinary evidence.” -- Carl Sagan
June 26th, 2022 at 4:12:47 PM
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Quote: WizardQuote: ThatDonGuy
7,210,000,100
Seven 0s, two 1s, one 2, and one 7
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I count only six 0's
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It's 6,210,001,000
Six 0s, two 1s, one 2, and one 6
June 26th, 2022 at 4:18:17 PM
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Quote: WizardFind 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.
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Let’s do it iteratively from a number that’s 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.
