https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Mikimoto12&feedformat=atomAoPS Wiki - User contributions [en]2024-03-28T20:24:47ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=GMAAS&diff=122569GMAAS2020-05-18T06:49:56Z<p>Mikimoto12: Replaced content with "gmass is a human"</p>
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<div>gmass is a human</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=GMAAS&diff=119873GMAAS2020-03-21T03:34:21Z<p>Mikimoto12: Blanked the page</p>
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<div></div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=111559Gmaas2019-11-19T13:50:24Z<p>Mikimoto12: </p>
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<div>stop putting random spam on this page thanks</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=111555Gmaas2019-11-19T05:53:20Z<p>Mikimoto12: Blanked the page</p>
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<div></div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=106235Gmaas2019-06-10T13:36:05Z<p>Mikimoto12: </p>
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<div>Gmaas is a human. [[Talk:Gmaas]] has the same idea on it.</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Talk:Gmaas&diff=106234Talk:Gmaas2019-06-10T13:35:28Z<p>Mikimoto12: Replaced content with "Gmaas is just a human. Stop arguing. PLEASE."</p>
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<div>[[Gmaas]] is just a human. Stop arguing. PLEASE.</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=106233Gmaas2019-06-10T13:33:53Z<p>Mikimoto12: Replaced content with "gmaas is a human. period. end of discussion."</p>
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<div>gmaas is a human. period. end of discussion.</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=2018_AMC_10B_Problems/Problem_4&diff=1040002018 AMC 10B Problems/Problem 42019-03-03T13:42:36Z<p>Mikimoto12: </p>
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<div>== Problem ==<br />
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A three-dimensional rectangular box with dimensions <math>X</math>, <math>Y</math>, and <math>Z</math> has faces whose surface areas are <math>24</math>, <math>24</math>, <math>48</math>, <math>48</math>, <math>72</math>, and <math>72</math> square units. What is <math>X</math> + <math>Y</math> + <math>Z</math>?<br />
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<math><br />
\textbf{(A) }18 \qquad<br />
\textbf{(B) }22 \qquad<br />
\textbf{(C) }24 \qquad<br />
\textbf{(D) }30 \qquad<br />
\textbf{(E) }36 \qquad<br />
</math><br />
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==Solution 1==<br />
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Let <math>X</math> be the length of the shortest dimension and <math>Z</math> be the length of the longest dimension. Thus, <math>XY = 24</math>, <math>YZ = 72</math>, and <math>XZ = 48</math>.<br />
Divide the first two equations to get <math>\frac{Z}{X} = 3</math>. Then, multiply by the last equation to get <math>Z^2 = 144</math>, giving <math>Z = 12</math>. Following, <math>X = 4</math> and <math>Y = 6</math>.<br />
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The final answer is <math>4 + 6 + 12 = 22</math>. <math>\boxed{B}</math><br />
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==Solution 2==<br />
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Simply use guess and check to find that the dimensions are <math>4</math> by <math>6</math> by <math>12</math>. Therefore, the answer is <math>4 + 6 + 12 = 22</math>. <math>\boxed{B}</math><br />
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==Solution 3==<br />
If you find the GCD of <math>24</math>, <math>48</math>, and <math>72</math> you get your first number, <math>12</math>. After this, do <math>48 \div 12</math> and <math>72 \div 12</math> to get <math>4</math> and <math>6</math>, the other 2 numbers. When you add up your <math>3</math> numbers, you get <math>22</math> which is <math>\boxed{B}</math>.<br />
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==See Also==<br />
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{{AMC10 box|year=2018|ab=B|num-b=3|num-a=5}}<br />
{{MAA Notice}}</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=2018_AMC_10B_Problems/Problem_1&diff=1039992018 AMC 10B Problems/Problem 12019-03-03T13:42:08Z<p>Mikimoto12: </p>
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<div>==Problem==<br />
Kate bakes a <math>20</math>-inch by <math>18</math>-inch pan of cornbread. The cornbread is cut into pieces that measure <math>2</math> inches by <math>2</math> inches. How many pieces of cornbread does the pan contain?<br />
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<math>\textbf{(A) } 90 \qquad \textbf{(B) } 100 \qquad \textbf{(C) } 180 \qquad \textbf{(D) } 200 \qquad \textbf{(E) } 360</math><br />
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== Solution 1 ==<br />
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The area of the pan is <math>20\cdot18</math> = <math>360</math>. Since the area of each piece is <math>4</math>, there are <math>\frac{360}{4} = 90</math> pieces. Thus, the answer is <math>\boxed{A}</math>.<br />
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== Solution 2 ==<br />
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By dividing each of the dimensions by <math>2</math>, we get a <math>10\times9</math> grid which makes <math>90</math> pieces. Thus, the answer is <math>\boxed{A}</math>.<br />
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==See Also==<br />
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{{AMC10 box|year=2018|ab=B|before=First Problem|num-a=2}}<br />
{{AMC12 box|year=2018|ab=B|before=First Problem|num-a=2}}<br />
{{MAA Notice}}</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=103978Gmaas2019-03-02T05:31:34Z<p>Mikimoto12: Replaced content with "Gmaas is a human being and none of the other stuff that was on this page."</p>
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<div>Gmaas is a human being and none of the other stuff that was on this page.</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=99015Gmaas2018-11-24T13:55:15Z<p>Mikimoto12: Replaced content with "Gmaas is just a regular human. End of discussion."</p>
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<div>Gmaas is just a regular human. End of discussion.</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=98160Gmaas2018-10-17T07:56:27Z<p>Mikimoto12: Replaced content with "Gmaas is a person"</p>
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<div>Gmaas is a person</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Dunan_League&diff=97821Dunan League2018-09-15T05:38:27Z<p>Mikimoto12: </p>
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<div>Once upon a time, during a guided study(or WIN, as Clarke calls it) Aidan Duncan(azduncan) was in Mr. Frost's room, doing some corrections on some Mathcounts tests when Bronzefur(or was it ZhaoPow, I forget) noticed his great spelling. On one of his targets, he wrote “Dunan” instead of “Duncan” as his last name. Thus, everyone on the math team started calling him “Dunan”. Some random people noticed that people were calling Aidan “Dunan”, and then they started calling him “Dunan”, too. So now, about half of the kids in Clarke know him as "Dunan". (but no one cares)<br />
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Aidan made “Dunan’s Theorem” after that. More about that could be read here: https://artofproblemsolving.com/wiki/index.php?title=Dunan%27s_Theorem. In fact, “Clarke Dunan’s Theorem” was a team at the Acton-Boxborough Math Competition (https://abmathcompetition.org).(not real)<br />
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Then one day Bronzefur put DUNAN LEAGUE as pretty much everything on his profile, so all of a sudden Dunan League was a thing. It was a profile pic, status, etc. Then azduncan, andyxpandy99 and kevinmathz joined. After that, bollywood added it on his profile, too. Then, jlordhe made it his profile pic. It became a trend on AoPS. (But not me)<br />
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It is possible that AoPSSheriff is a member of the Dunan League, as he threatens to place restrictions on mathleticguyyy, the Dunan League's biggest enemy in its early stages if he does not edit out his negative posts about Dunan League, resulting in mathleticguyyy joining the league.(hey you guys reported him)</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Dunan_League&diff=97660Dunan League2018-09-05T10:00:05Z<p>Mikimoto12: </p>
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<div>Once upon a time, during a guided study(or WIN, as Clarke calls it) Aidan Duncan(azduncan) was in Mr. Frost's room, doing some corrections on some Mathcounts tests when Bronzefur(or was it ZhaoPow, I forget) noticed his great spelling. On one of his targets, he wrote “Dunan” instead of “Duncan” as his last name. Thus, everyone on the math team started calling him “Dunan”. Some random people noticed that people were calling Aidan “Dunan”, and then they started calling him “Dunan”, too. So now, about half of the kids in Clarke know him as "Dunan". <br />
<br />
Aidan made “Dunan’s Theorem” after that. More about that could be read here: https://artofproblemsolving.com/wiki/index.php?title=Dunan%27s_Theorem. In fact, “Clarke Dunan’s Theorem” was a team at the Acton-Boxborough Math Competition (https://abmathcompetition.org).<br />
<br />
Then one day Bronzefur put DUNAN LEAGUE as pretty much everything on his profile, so all of a sudden Dunan League was a thing. It was a profile pic, status, etc. Then azduncan, andyxpandy99 and kevinmathz joined. After that, bollywood added it on his profile, too. Then, jlordhe made it his profile pic. It became a trend on AoPS.<br />
<br />
It is possible that AoPSSheriff is a member of the Dunan League, as he threatens to place restrictions on mathleticguyyy, the Dunan League's biggest enemy in its early stages if he does not edit out his negative posts about Dunan League, resulting in mathleticguyyy joining the league.<br />
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The first 3 paragraphs are 100% false, and AoPSSheriff is not a Dunan League member</div>Mikimoto12https://artofproblemsolving.com/wiki/index.php?title=Dunan_League&diff=97659Dunan League2018-09-05T09:58:38Z<p>Mikimoto12: </p>
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<div>[s]Once upon a time, during a guided study(or WIN, as Clarke calls it) Aidan Duncan(azduncan) was in Mr. Frost's room, doing some corrections on some Mathcounts tests when Bronzefur(or was it ZhaoPow, I forget) noticed his great spelling. On one of his targets, he wrote “Dunan” instead of “Duncan” as his last name. Thus, everyone on the math team started calling him “Dunan”. Some random people noticed that people were calling Aidan “Dunan”, and then they started calling him “Dunan”, too. So now, about half of the kids in Clarke know him as "Dunan". <br />
<br />
Aidan made “Dunan’s Theorem” after that. More about that could be read here: https://artofproblemsolving.com/wiki/index.php?title=Dunan%27s_Theorem. In fact, “Clarke Dunan’s Theorem” was a team at the Acton-Boxborough Math Competition (https://abmathcompetition.org).<br />
<br />
Then one day Bronzefur put DUNAN LEAGUE as pretty much everything on his profile, so all of a sudden Dunan League was a thing. It was a profile pic, status, etc. Then azduncan, andyxpandy99 and kevinmathz joined. After that, bollywood added it on his profile, too. Then, jlordhe made it his profile pic. It became a trend on AoPS.<br />
<br />
It is possible that AoPSSheriff is a member of the Dunan League, as he threatens to place restrictions on mathleticguyyy, the Dunan League's biggest enemy in its early stages if he does not edit out his negative posts about Dunan League, resulting in mathleticguyyy joining the league.[/s]<br />
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Liar liar pants on fire</div>Mikimoto12