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All Questions
^{+0}
234148 Questions
0
3
1
+620
Counting
Find the number of ways that Magnus can give out $12$ identical stickers to $2$ of his friends, if every friend gets at least one sticker.
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magenta
Jun 21, 2024
0
10
0
+620
Counting
Miyu is giving out $8$ identical chocolates to her $5$ friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly $7$ chocolates?
magenta
Jun 21, 2024
0
5
1
+620
Counting
How many solutions are there to the equation
u + v + w + x + y + z = 2,
where $u,$ $v,$ $w,$ $x,$ $y,$ and $z$ are nonnegative integers, and $x$ is at most $1?$
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magenta
Jun 21, 2024
-1
3
1
+1646
Geometry
Trapezoid $HGFE$ is inscribed in a circle, with $\overline{EF} \parallel \overline{GH}$. If arc $GH$ is $66$ degrees, arc $EH$ is $x^2 + 8x$ degrees, and arc $FG$ is $25 + 16x$ degrees, where $x > 0,$ find arc $EPF$, in degrees.
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ABJeIIy
Jun 21, 2024
-1
5
1
+1646
Geometry
The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square.
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ABJeIIy
Jun 21, 2024
-1
4
0
+1646
Geometry
In rectangle $EFGH$, let $M$ be the midpoint of $\overline{EF}$, and let $X$ be a point such that $MH = MX$, as shown below. If $\angle EFH = 30^\circ$ and $\angle MHX = 60^\circ,$ then find $\angle XHG,$ in degrees.
ABJeIIy
Jun 21, 2024
-1
2
1
+1646
Geometry
Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1
NotThatSmart
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ABJeIIy
Jun 21, 2024
Jun 20, 2024
-1
2
1
+1646
Geometry
Altitudes $\overline{AD}$ and $\overline{BE}$ of acute triangle $ABC$ intersect at point $H$. If $\angle AHB = 144^\circ$ and $\angle BAH = 66^\circ$, then what is $\angle HCA$ in degrees?
NotThatSmart
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ABJeIIy
Jun 20, 2024
0
3
3
+4
Intermediate Alegbra Question
Let be the real-valued function defined for all real except for and and satisfying the functional equation
Find the function satisfying these conditions. Write as a rational function with
read more ..
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leekord
Jun 20, 2024
0
3
1
+749
Geometry
In triangle $STU$, let $M$ be the midpoint of $\overline{ST},$ and let $N$ be on $\overline{TU}$ such that $\overline{SN}$ is an altitude of triangle $STU$. If $ST = 8$, $SU = 8$, $TU = 8$, and $\overline{SN}$ and $\overline{UM}$ intersect at $X$,
<
read more ..
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eramsby1O1O
Jun 20, 2024
0
1
1
+749
Geometry
In triangle $PQR$, let $M$ be the midpoint of $\overline{PQ}$, let $N$ be the midpoint of $\overline{PR}$, and let $O$ be the intersection of $\overline{QN}$ and $\overline{RM}$, as shown. If $\overline{QN}\perp\overline{PR}$, $QN = 1$, and $PR =1$,
read more ..
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eramsby1O1O
Jun 20, 2024
0
5
1
+749
Geometry
Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).
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eramsby1O1O
Jun 20, 2024
-2
7
0
+154
Number Theory
How many bases $b \ge 2$ are there such that $100_b + 1_b$ is prime?
BRAlNBOLT
Jun 20, 2024
-2
3
1
+154
Number Theory
Find the smallest positive integer $B$ so that when we express the decimal number $582$ as a base $B$ number, we still get a $2$-digit number.
NotThatSmart
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BRAlNBOLT
Jun 20, 2024
-2
3
1
+154
Number Theory
Fill in each blank with a single digit.
\frac{2}{131} = 0. _ _ _ _ _ _ _ _ _ _
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BRAlNBOLT
Jun 20, 2024
-2
4
2
+154
Number Theory
Fill in each blank with a single digit. Do not use a calculator.
\frac{13}{29} = 0. _ _ _ _ _ _ _ _ _ _ ...
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BRAlNBOLT
Jun 20, 2024
-2
7
0
+154
Number Theory
Fill in each blank with a single digit. Do not use a calculator.
\frac{36}{1011} = 0. _ _ _ _ _ _ _ _ _ _ ...
BRAlNBOLT
Jun 20, 2024
0
6
1
+22
I don’t understand this question and I need help
Plaintainmountain, a frequent (but disruptive) user on web2.0calc, spams every answer claiming it's AI-generated. After 5 warnings (w), mods decide to ban them if they make at least 3 (min for chaos) AI claims in the next 10 (n) posts. If
read more ..
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derpmcfearson
Jun 20, 2024
-1
7
1
+1646
Counting
In the Olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are 19 skaters, including 2 Americans and 5 Canadians, in how many ways can the medals be awarded to three of the 19 skaters
read more ..
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ABJeIIy
Jun 20, 2024
-1
6
0
+1646
Counting
In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, so that at least one square is yellow, and at least one square
read more ..
ABJeIIy
Jun 20, 2024
0
4
0
+840
In triangle $PQR,$ $M$ is the midpoint of $\overline{PQ}.$ Let $X$ be the point on $\overline{QR}$ such that $\overline{PX}$ bisects $\angle
In triangle $PQR,$ $M$ is the midpoint of $\overline{PQ}.$ Let $X$ be the point on $\overline{QR}$ such that $\overline{PX}$ bisects $\angle QPR,$ and let the perpendicular bisector of $\overline{PQ}$ intersect $\overline{PX}$ at $Y.$ If $PQ = 36$, $PM
read more ..
Rangcr897
Jun 20, 2024
0
4
0
+739
Euclidean Algorithm
Use the Euclidean algorithm to find integers $x$ and $y$ such that $164x + 39y = 1,$ with the smallest possible positive value of $x$.
bingboy
Jun 20, 2024
0
1
1
+739
Euclidean Algorithm
Use the Euclidean Algorithm to find gcd(972, 1220).
NotThatSmart
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bingboy
Jun 20, 2024
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