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2017 AMC8 Problem 2Sun, 04 Nov 2018 11:40:43 +0000
http://www.amc8.net/threads/2017-amc8-problem-2.135/
http://www.amc8.net/threads/2017-amc8-problem-2.135/invalid@example.com (bridge)bridgeAlicia, Brenda, and Colby were the candidates in a recent election for student president. The pie chart below shows how the votes were distributed among the three candidates. If Brenda received 36 votes, then how many votes were cast all together?
\(\textbf{(A) }70\qquad\textbf{(B) }84\qquad\textbf{(C) }100\qquad\textbf{(D) }106\qquad\textbf{(E) }120\)]]>12017 AMC8 Problem 24Sun, 04 Nov 2018 11:39:17 +0000
http://www.amc8.net/threads/2017-amc8-problem-24.152/
http://www.amc8.net/threads/2017-amc8-problem-24.152/invalid@example.com (bridge)bridgeMrs. Sanders has three grandchildren, who call her regularly. One calls her every three days, one calls her every four days, and one calls her every five days. All three called her on December 31, 2016. On how many days during the next year did she not receive a phone call from any of her grandchildren?

\(\textbf{(A) }78\qquad\textbf{(B) }80\qquad\textbf{(C) }144\qquad\textbf{(D) }146\qquad\textbf{(E) }152\)]]>12017 AMC8 Problem 25Sun, 04 Nov 2018 11:38:49 +0000
http://www.amc8.net/threads/2017-amc8-problem-25.153/
http://www.amc8.net/threads/2017-amc8-problem-25.153/invalid@example.com (bridge)bridgeIn the figure shown, \(\overline{US}\) and \(\overline{UT}\) are line segments each of length 2, and \(m\angle TUS = 60^\circ\). Arcs \(\overline{TR}\) and \(\overline{SR}\) are each one-sixth of a circle with radius 2. What is the area of the region shown?
\(\textbf{(A) }3\sqrt{3}-\pi\\\textbf{(B) }4\sqrt{3}-\dfrac{4\pi}{3}\\\textbf{(C) }2\sqrt{3}\\\textbf{(D) }4\sqrt{3}-\dfrac{2\pi}{3}\\\textbf{(E) }4+\dfrac{4\pi}{3}\)]]>1Swimming poolSun, 04 Nov 2018 11:35:33 +0000
http://www.amc8.net/threads/swimming-pool.636/
http://www.amc8.net/threads/swimming-pool.636/invalid@example.com (Cherry)CherryTanner wants to fill his swimming pool using two hoses, each of which sprays water at a constant rate. Hose A fills the pool in \(a\) hours when used by itself, where \(a\) is a positive integer. Hose B fills the pool in \(b\) hours when used by itself, where \(b\) is a positive integer. When used together, Hose A and Hose B fill the pool in 6 hours. How many different possible values are there for \(a\)?