All Questions ⁺⁰236027 Questions

0

4

1

+1557

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?

parmen Jan 18, 2024

0

57

0

+1557

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

36

0

+1557

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

48

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

55

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

29

1

+39

factoring polynomials

prove that there is only one pair of (integer) perfect squares that differ by 53, and find it

hi1234 Jan 18, 2024

0

32

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

23

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 $PM.$

omgitsrne Jan 18, 2024

0

26

1

+400

Similar triangles

In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.

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

28

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 ●

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

sandwich Jan 18, 2024

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