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All Questions
^{+0}
235690 Questions
0
3
1
+60
help me pls with counting and probability
Find the number of ways of choosing three circles below, so that no two circles are next to each other.
[asy]
unitsize(1 cm);
int i;
for (i = 0; i <= 11; ++i) {<#> draw(Circle(2*dir(360/12*i),0.3));<#> label(string(i + 1),
read more ..
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ghistory
Oct 13, 2024
Oct 12, 2024
0
5
1
+822
Algebra
A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes $3$ hours and $20$ minutes, but when there is a wind blowing from Penthaven to Jackson at $70$ miles per hour, the trip takes $3$ hours
read more ..
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gnistory
Oct 12, 2024
0
5
0
+822
Algebra
In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire.
read more ..
gnistory
Oct 12, 2024
0
3
1
+822
Algebra
All members of our painting team paint at the same rate. If $10$ members can paint a $1000$ square foot wall in $10$ minutes, then how long would it take for $5$ members to paint a $1000$ square foot wall, in minutes?
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gnistory
Oct 12, 2024
0
5
0
+160
Algebra
All members of our painting team paint at the same rate. If $10$ members can paint a $100$ square foot wall in $10$ minutes, then how long would it take the $15$ members to paint a $100$ square foot wall, in minutes?
AUnVerifedTaxPayer
Oct 12, 2024
0
3
0
+160
Algebra
Find the largest integer $k$ such that the equation
5x^2 - kx + 8 - 20x^2 + 45 = 0
has no real solutions.
AUnVerifedTaxPayer
Oct 12, 2024
0
3
1
+160
Algebra
Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2 - 2x^2 + 4x - 1.
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AUnVerifedTaxPayer
Oct 12, 2024
0
3
2
+77
Could I get some help on this rly hard Alg Problem :D
Define Compute
thanks a lot!
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NotLatePY
Oct 12, 2024
0
3
0
+1839
Geometry
In square ABCD, P is on BC such that BP = 5 and PC = 2, and Q is on CD such that DQ = 4 and QC = 3. Find sin angle PAQ.
ABJeIIy
Oct 12, 2024
0
3
0
+1839
Geometry
Donatello starts with a marble cube. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length. If the side length of the original cube is $6$, then find the volume of the resulting
read more ..
ABJeIIy
Oct 12, 2024
0
3
2
+4
Floor Question System of Equations
Find all possible values of b, where (a,b,c) satisfies and a, b, and c are positive. Enter all values, separated by commas.
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SirFizzbone.Official
Oct 12, 2024
Oct 11, 2024
0
5
0
+1439
Counting
Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are next to each other, and all the adults are next to each other? (Two seatings are considered the same if
read more ..
kittykat
Oct 11, 2024
0
1
1
+1439
Counting
At a meeting, four scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the mathematicians must sit next to each other? (Two seatings are considered equivalent if
read more ..
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kittykat
Oct 11, 2024
0
5
0
+1439
Counting
A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3,
read more ..
kittykat
Oct 11, 2024
0
4
0
+834
Geometry
Let $B,$ $A,$ and $D$ be three consecutive vertices of a regular $20$-gon. A regular heptagon is constructed on $\overline{AB},$ with a vertex $C$ next to $A.$ Find $\angle BAD,$ in degrees.
RedDragonl
Oct 11, 2024
0
5
0
+834
Geometry
In the diagram below, each side of convex quadrilateral $ABCD$ is trisected. (For example, $AP = PQ = QB.$) The area of convex quadrilateral $ABCD$ is $180.$ Find the area of the shaded region.
RedDragonl
Oct 11, 2024
0
2
1
+834
Geometry
Let $IJKLMN$ be a hexagon with side lengths $IJ = LM = 3,$ $JK = MN = 3,$ and $KL = NI = 3$. Also, all the interior angles of the hexagon are equal. Find the area of hexagon $IJKLMN$.
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RedDragonl
Oct 11, 2024
0
1
1
+834
Geometry
The number of diagonals in a certain regular polygon is equal to $2$ times the number of sides. How many sides does this polygon have?
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RedDragonl
Oct 11, 2024
+1
2
3
+829
Number Theory
Fill in the blanks with three distinct positive integers.
1/___ + 1/___ + 1/___ = \frac{13}{12}
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AnswerscorrectIy
Oct 11, 2024
0
2
4
+829
Number Theory
For a positive integer n, \phi(n) denotes the number of positive integers less than or equal to $n$ that are relatively prime to $n$. What is $\phi(2835)$?
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AnswerscorrectIy
Oct 11, 2024
0
4
2
+829
Number Theory
How many numbers between $1000$ and $2000$ leave a remainder of $3$ when divided by $47?$
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AnswerscorrectIy
Oct 11, 2024
Oct 10, 2024
0
3
1
+1839
Number Theory
Use the Euclidean Algorithm to find gcd(972, 1220).
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ABJeIIy
Oct 10, 2024
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