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• 2004 AIME II Problems/Problem 15
  ...f the left end, resulting in a <math>256</math> by <math>1</math> strip of quadruple thickness. This process is repeated <math>8</math> more times. After the la
  6 KB (899 words) - 20:58, 12 May 2022
• 2004 AIME II Problems
  ...cide with and lie on top of the left end, resulting in a 256 by 1 strip of quadruple thickness. This process is repeated 8 more times. After the last fold, the
  9 KB (1,410 words) - 05:05, 20 February 2019
• 1993 AIME Problems/Problem 4
  ...math>b\longrightarrow b+1</math>, etc. and this will still produce a valid quadruple. This means, that we can fix <math>a=1</math>, and then just repeatedly add Case 1: <math>b=2</math>, <math>c=94</math>. This produces the quadruple <math>(1,2,94,95)</math>, which indeed works.
  8 KB (1,343 words) - 16:27, 19 December 2023
• 2020 AMC 10A Problems
  ...d-b\cdot c</math> is odd? (For example, <math>(0,3,1,1)</math> is one such quadruple, because <math>0\cdot 1-3\cdot 1 = -3</math> is odd.)
  13 KB (1,968 words) - 18:32, 29 February 2024
• 2007 USAMO Problems/Problem 4
  ...can have at most 4 edges coming out of it. For each point, assign it the [[quadruple]]: <math>(a,b,c,d)</math> where <math>a</math>, <math>b</math>, <math>c</ma ...for which <math>a</math> is minimal (i.e. out of all maximal elements in a quadruple, choose the one with the least maximal element). We have that <math>4a \ge
  10 KB (1,878 words) - 14:56, 30 June 2021
• 2001 AMC 12 Problems/Problem 21
  ...case solves to <math>(e,f,g,h)=(25,21,7,15)</math>, which gives us a valid quadruple <math>(a,b,c,d)=(24,20,6,14)</math>, and we have <math>a-d=24-14 =\boxed{10
  2 KB (298 words) - 13:01, 18 September 2023
• 1996 AJHSME Problems
  Brent has goldfish that quadruple (become four times as many) every month, and Gretel has goldfish that doubl
  13 KB (1,880 words) - 13:35, 19 February 2020
• 2011 AIME II Problems/Problem 6
  Define an ordered quadruple of integers <math>(a, b, c, d)</math> as interesting if <math>1 \le a<b<c<d ...th> represents its value and <math>x</math> is a place holder. Clearly the quadruple is interesting if there are more place holders between <math>c</math> and <
  9 KB (1,535 words) - 01:28, 16 January 2023
• 2011 AIME II Problems
  Define an ordered quadruple of integers <math>(a, b, c, d)</math> as ''interesting'' if <math>1 \le a<b
  8 KB (1,301 words) - 08:43, 11 October 2020
• 2001 AMC 8 Problems/Problem 25
  ...neither of these numbers is twice a number in the set. The number can't be quadruple or more another number in the set since <math> 2457\times4=9828 </math>, we
  3 KB (401 words) - 03:07, 12 March 2024
• 1996 AJHSME Problems/Problem 7
  Brent has goldfish that quadruple (become four times as many) every month, and Gretel has goldfish that doubl Brent starts with <math>4</math> goldfish and they quadruple each month, giving us <math>y=4\cdot 4^{x}</math> or <math>y=2^{2x+2}</math
  2 KB (264 words) - 11:26, 27 June 2023
• 2006 SMT/General Problems
  ...or is added to its numerator and to its denominator and find one that will quadruple.
  10 KB (1,477 words) - 16:02, 27 May 2012
• 2020 Mock Combo AMC 10
  Call a quadruple <math>(w, x, y, z)</math> of positive integers <math>n</math>-plausible if
  15 KB (2,452 words) - 03:03, 4 July 2020
• 2018 AIME II Problems/Problem 1
  ...of time given, Ina will run twice the distance of Eve, and Paul would run quadruple the distance of Eve. Let's consider the time it takes for Paul to meet Eve:
  3 KB (516 words) - 03:25, 16 January 2023
• 2018 AIME II Problems/Problem 14
  The cross-ratio be <i><b>projective invariant</b></i> of a quadruple of collinear points, so
  9 KB (1,518 words) - 14:32, 28 January 2024
• 2020 AMC 10A Problems/Problem 18
  ...d-b\cdot c</math> is odd? (For example, <math>(0,3,1,1)</math> is one such quadruple, because <math>0\cdot 1-3\cdot 1 = -3</math> is odd.)
  6 KB (1,044 words) - 13:50, 4 April 2024
• 2020 AMC 10B Problems/Problem 25
  ...th <math>6</math> as a factor, triple count any case with <math>12</math>, quadruple count any case with <math>24</math>, etc.
  16 KB (2,560 words) - 20:26, 11 November 2023
• Mock AIME 2 Pre 2005 Problems/Problem 14
  Basic ordered quadruple & P(i) & D(i) \\ \hline
  4 KB (690 words) - 14:32, 6 January 2021
• 2021 Fall AMC 12A Problems/Problem 25
  Given any ordered quadruple <math>(a'_1, a'_2, a'_3, a'_4)</math> in modulo <math>m,</math> it follows \textbf{Ordered Quadruple} & \textbf{Sum Modulo }\boldsymbol{m} \\ [0.5ex]
  11 KB (1,687 words) - 00:04, 29 April 2023
• Forum Etiquette
  : Double, triple, quadruple, etc. posting is often viewed as post farming or spam.
  2 KB (413 words) - 14:41, 9 October 2022