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234503 Questions
0
4
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+1467
Distributions
There is a group of five children, where two of the children are twins. In how many ways can I distribute $3$ identical pieces of candy to the children, if the twins must get an equal amount of candy?
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parmen
Jan 18, 2024
0
43
0
+1467
help counting
In how many ways can you distribute $8$ indistinguishable balls among $2$ distinguishable boxes, if at least one of the boxes must be empty?
parmen
Jan 18, 2024
0
20
0
+1467
Counting
Find the number of ways of choosing three circles below, so that no two circles are next to each other.
parmen
Jan 18, 2024
0
31
0
+1678
help with inequality
Solve the inequality x^3 + 4x > 5x^2 + 28x + x^3. Write your answer in interval notation.
wiseowl
Jan 18, 2024
0
38
0
+1678
Inequality problem
For an integer n, the inequality
x^2 + nx + 15 < -21 - 7x + x^2
has no real solutions in x. Find the number of different possible values of n.
wiseowl
Jan 18, 2024
+1
20
1
+39
factoring polynomials
prove that there is only one pair of (integer) perfect squares that differ by 53, and find it
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hi1234
Jan 18, 2024
0
27
0
+400
Need help
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 ..
omgitsrne
Jan 18, 2024
0
20
0
+400
help geometry
Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $BET$ if $AB = 20$, $AC = 20$,
read more ..
omgitsrne
Jan 18, 2024
0
4
1
+400
Triangles
In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
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omgitsrne
Jan 18, 2024
0
14
1
+400
Similar triangles
In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.
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omgitsrne
Jan 18, 2024
0
3
0
+1348
Circles
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.
sandwich
Jan 18, 2024
0
22
1
+1348
Need help
The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square.
Jeffrey11161
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sandwich
Jan 18, 2024
0
5
0
+1348
Rectangle
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.
sandwich
Jan 18, 2024
0
7
1
+1348
Polygon
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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sandwich
Jan 18, 2024
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