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All Questions
^{+0}
234176 Questions
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2
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+743
Geometry
Triangle ABC is rotated completely around side BC, sweeping out a solid in space. Find the volume of the solid.
AB = 8, AC = 12, CB = 8
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RedDragonl
Jul 23, 2024
0
1
0
+743
Geometry
In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?
RedDragonl
Jul 23, 2024
0
1
0
+743
Geometry
In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $CE =3$ and $DF = 3$, then what is $BD$?
RedDragonl
Jul 23, 2024
0
1
1
+743
Geometry
In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11
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RedDragonl
Jul 23, 2024
0
2
1
+525
Algebra
At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does
read more ..
NotThatSmart
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AnswerscorrectIy
Jul 23, 2024
0
1
1
+463
Algebra
Let a1, a2, a3, ..., a10 be an arithmetic series. If a1 + a3 = -2 and a2 + a4 + a6 = 1, then find a1.
NotThatSmart
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ChiIIBill
Jul 23, 2024
0
2
1
+463
Algebra
Laverne starts counting out loud by 5's. She starts with 2. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 100, Shirley runs screaming from the room. What number does Laverne say that sends
read more ..
NotThatSmart
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ChiIIBill
Jul 23, 2024
0
3
0
+463
Algebra
Find the ordered pair that satisfies the system
\dfrac{s}{2} + 5t &= 3 - 3s + t,\\
3t - 6s &= 9 + 5s.
ChiIIBill
Jul 23, 2024
Jul 22, 2024
0
1
1
+6
Adam and Simon start on bicycle trips from the same point at the same time. Adam travels east at 8mph and Simon travels south at 6mph. After
Adam and Simon start on bicycle trips from the same point at the same time. Adam travels east at 8mph and Simon travels south at 6mph. After how many hours are they 60 miles apart?
iamalamateehee512
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iamalamateehee512
Jul 22, 2024
+1
2
4
+19
help please!!
Six children are each offered a single scoop of any of flavors of ice cream from the Combinatorial Creamery. In how many ways can each child choose a flavor for their scoop of ice cream so that some flavor of ice cream is selected by exactly
read more ..
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helpmeeee
Jul 22, 2024
0
1
2
+41
Help! Polynomials
Find all (real or nonreal) z satisfying
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MeldHunter
Jul 22, 2024
0
1
3
+4
Math Challange
Who ever gets all four of these right first wins! all problems are probability.
1. I run a book club with people, not including myself. Every day, for days, I invite members in the club to review a book. What
read more ..
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Geust
Jul 22, 2024
0
1
3
+463
Algebra
Find the largest integer $k$ such that the equation
5x^2 - kx + 8 - 20x^2 + 45 = 0
has no real solutions.
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ChiIIBill
Jul 22, 2024
0
2
3
+36
help!
A magician makes potions by combining maple syrup from a magical maple tree with ordinary water. The magician starts with a large supply of two potions: a red potion, which is 60% magical syrup by volume (and the rest is just water), and blue potion, which
read more ..
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onyulee
Jul 22, 2024
0
2
1
+463
Algebra
Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2 - 2x^2 + 4x - 1.
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ChiIIBill
Jul 22, 2024
0
1
1
+463
Algebra
The equation of the line below can be expressed in the form
\frac{x}{a} + \frac{y}{b} = 1.
Find a.
The lines passes through (5,8) and (-4,17).
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ChiIIBill
Jul 22, 2024
0
2
1
+840
Number Theory
Find the largest positive integer $n$ such that $n^3$ divides 15.
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Rangcr897
Jul 22, 2024
0
2
1
+840
Number Theory
Find the unique triple $(x,y,z)$ of positive integers such that $x < y < z$ and
\frac{1}{x} - \frac{1}{xy} - \frac{1}{xyz} = \frac{1}{3}
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Rangcr897
Jul 22, 2024
0
2
0
+840
Number Theory
There is a single sequence of integers $a_2,$ $a_3,$ $a_4,$ $a_5,$ $a_6,$ $a_7$ such that
\frac{a_2}{2!} + \frac{a_3}{3!} + \frac{a_4}{4!} + \frac{a_5}{5!} + \frac{a_6}{6!} + \frac{a_7}{7!} = \frac{3}{128}
and $0 \le a_i < i$ for $i = 2,$
read more ..
Rangcr897
Jul 22, 2024
0
3
0
+840
Number Theory
Let $S$ be the set of numbers of the form
n(n + 1)(n + 3)(n + 4)(n + 8)(n + 10)(n + 12)
where $n$ is any positive integer.
What is the GCD of the elements of $S$?
Rangcr897
Jul 22, 2024
0
3
2
+525
Geometry
In a rhombus, all the side lengths are $12,$ and one of the angles is equal to $90^\circ.$ Find the area of the rhombus.
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AnswerscorrectIy
Jul 22, 2024
0
3
1
+525
Geometry
The perimeter of a rectangle is $40,$ and the length of one of its diagonals is $10 \sqrt{2}.$ Find the area of the rectangle.
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AnswerscorrectIy
Jul 22, 2024
0
2
1
+525
Geometry
Rectangle $ABCD$ contains a point $X$ such that $AX = 3$, $BX = 3$, and $CX = 3$. Find $DX$.
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AnswerscorrectIy
Jul 22, 2024
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