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  • Note that (-1,0,1) and (3,4,5) are the only pythagoren triplets that consist of consecutive integers. Also, if (a,b,c) are a pythagorean triplet it follows that (ka,kb,kc) will also form
    5 KB (885 words) - 22:03, 5 October 2024
  • During AMC testing week, the AoPS Wiki is in read-only mode. No edits can be made. If you don't know much about how to edit a wiki, you might want to read the [[
    2 KB (258 words) - 13:22, 13 November 2024
  • If Ben paid <math>$ 12.50</math> more than David, then he paid <math>\frac{12 If for every dollar Ben spent on bagels David spent <math>25</math> cents less
    1 KB (176 words) - 09:58, 16 June 2023
  • ...math>x</math>. Then the volume is <math>x \cdot 3x \cdot 4x =12x^3</math>. If <math>x=2</math>, then <math>12x^3 = 96 \implies \boxed{\textbf{(D) } 96.}< ...math>(E) 12</math> and the final answer has to equal <math>x^3</math>. The only answer choice that works is <math>(D)</math>.
    1 KB (216 words) - 23:23, 5 September 2024
  • ...ed and the mean of the remaining numbers will be the same. This means that if using the mean in your reasoning, you can just take the mean of the other 6
    2 KB (268 words) - 17:19, 27 September 2023
  • If you started backwards you would get: <cmath>0\Rightarrow (+40)=40 , \Righta If you have <math>x</math> as the amount of money Foolish Fox started with we
    1 KB (169 words) - 13:59, 8 August 2021
  • If you continue from solution one's conclusion that <cmath>\frac{N(N+1)}{2}=20
    2 KB (395 words) - 22:29, 3 December 2024
  • ...and 3. This means that either Edie or Dee was originally in an edge seat. If Edie and Dee were in seats 1 and 2, then Bea must have been in seat 3, whic
    2 KB (402 words) - 13:54, 25 June 2023
  • This list is intended to be global. If other international or contests from other nations or regions are documente
    4 KB (410 words) - 11:31, 13 September 2024
  • ...mitted, placement in a given program is determined by academic suitability only.
    5 KB (706 words) - 22:49, 29 January 2024
  • ...nts may not go back to previous rounds (or forwards to future rounds) even if they finish before time is called. Calculators are allowed for the Target R ...ter and state competitions, the countdown round is not mandatory. However, if it is deemed official by the chapter or state, the following format must be
    10 KB (1,504 words) - 13:10, 1 December 2024
  • ...submitted. Correct answers are worth 2 points each. Bonus points are given if all four answers are correct and the answer sheet is submitted at the 3 min ...e. This trial program will be reviewed at the end of the year to determine if it will continue in future years.
    8 KB (1,182 words) - 13:26, 3 April 2024
  • ...ual and team rounds, where teams are usually organized in school. However, if a school has not signed up a team, students can compete individually. This
    5 KB (733 words) - 10:59, 8 June 2024
  • ...n be found [http://www.artofproblemsolving.org here]. Make sure it is .org if you want to see the foundation website, otherwise, you'll see the homepage
    5 KB (658 words) - 09:03, 3 November 2024
  • ...ach problem is graded on a scale of 0 to 10. The top five scorers (or more if there are ties) on the exam are named Putnam Fellows. ..., which regularly lead to schools selecting the "wrong team." For example, only two of the six 2007 Putnam fellows were members of their school teams. In s
    4 KB (623 words) - 12:11, 20 February 2024
  • ...Lewis Carroll Epstein. This book contains hundreds of conceptual problems. Only some of the problems focus on mechanics. ...I3xEclkgIG_PNylPEHv6dL21Tyfk/view solution manual] to some of these exams. If your goal is to advance to USAPhO, you should solve all of the problems on
    10 KB (1,410 words) - 12:07, 20 February 2024
  • ...y amount of matter is [[Zero]], then the object's velocity will not change if viewing from a constant reference point. #If an object has [[mass]] <math>m</math> and [[acceleration]] <math>a</math>,
    9 KB (1,355 words) - 06:29, 29 September 2021
  • If you didn't understand the third case / summation, all they did was subtract
    1 KB (193 words) - 20:13, 18 May 2021
  • As if to add to the confusion, "[[algebra (structure) |algebra]]" is the name for
    6 KB (902 words) - 17:16, 22 October 2024
  • *If you qualify for AIME, then your AIME score x 10 + your AMC 10/12 score is e
    17 KB (1,884 words) - 17:24, 17 December 2024

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