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All Questions
^{+0}
235690 Questions
0
4
0
+1839
Number Theory
Use the Euclidean algorithm to find integers $x$ and $y$ such that $164x + 39y = 1,$ with the smallest possible positive value of $x$.
ABJeIIy
Oct 10, 2024
0
2
0
+838
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 ..
magenta
Oct 10, 2024
0
4
0
+838
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 ..
magenta
Oct 10, 2024
0
4
2
+21
pls helpppp
Simplify
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Dysoncloud
Oct 10, 2024
0
4
0
+822
Number Theory
Fill in each blank with a single digit.
\frac{2}{131} = 0. _ _ _ _ _ _ _ _ _ _
gnistory
Oct 10, 2024
0
5
0
+822
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.
gnistory
Oct 10, 2024
0
5
1
+822
Number Theory
How many bases $b \ge 2$ are there such that $100_b + 1_b$ is prime?
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gnistory
Oct 10, 2024
0
6
0
+448
need help
Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).
onyuIee
Oct 10, 2024
0
6
0
+448
help me
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 ..
onyuIee
Oct 10, 2024
0
6
0
+448
plz help
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 ..
onyuIee
Oct 10, 2024
0
6
1
+253
need help
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?
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jaekg
Oct 10, 2024
0
1
2
+253
help 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
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jaekg
Oct 10, 2024
0
2
2
+38
Algebra?
My Skibidi Team called The Sigma's won 2/9 of its games this seasons. If we lost 15 more games than we won, how many games did we play this season?????
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SuckAtMathPleaseHelp
Oct 10, 2024
+1
4
1
+5
stuck here pls help
I drove to the beach at a rate of 60 miles per hour. If I had driven at a rate of 40 miles per hour instead, then I would have arrived 45 minutes later. How many miles did I drive
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helmetless21
Oct 10, 2024
0
6
1
+829
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.
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AnswerscorrectIy
Oct 10, 2024
0
5
1
+829
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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AnswerscorrectIy
Oct 10, 2024
0
7
1
+829
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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AnswerscorrectIy
Oct 10, 2024
0
3
1
+536
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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cooIcooIcooI17
Oct 10, 2024
0
3
0
+536
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?
cooIcooIcooI17
Oct 10, 2024
Oct 9, 2024
0
6
0
+536
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.
cooIcooIcooI17
Oct 9, 2024
0
2
1
+952
Algebra
What are the coordinates of the points where the graphs of f(x)=x^3 + x^2 - 3x + 5 and g(x) = x^3 + 2x^2 intersect?
Give your answer as a list of points separated by commas, with the points ordered such that their -coordinates
read more ..
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Hi6942O
Oct 9, 2024
0
5
1
+8
Number System
When the product (3N* + 8N - 3)(pN - 1) is divided by (N + 1), the remainder is 24. What is the remainder when pao is divided by 10?
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drax567
Oct 9, 2024
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