All Questions ⁺⁰237313 Questions

0

24

1

+864

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

RedDragonl Jul 23, 2024

0

24

0

+864

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

22

0

+864

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

23

1

+864

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

RedDragonl Jul 23, 2024

0

34

1

+1208

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 ●

AnswerscorrectIy Jul 23, 2024

0

21

1

+478

Algebra

Let a1, a2, a3, ..., a10 be an arithmetic series. If a1 + a3 = -2 and a2 + a4 + a6 = 1, then find a1.

NotThatSmart ●

ChiIIBill Jul 23, 2024

0

17

1

+478

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 ●

ChiIIBill Jul 23, 2024

0

32

0

+478

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

32

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 ●

iamalamateehee512 Jul 22, 2024

+1

33

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 ..

helpmeeee Jul 22, 2024

0

15

2

+63

Help! Polynomials

Find all (real or nonreal) z satisfying

MeldHunter Jul 22, 2024

0

18

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 ..

Geust Jul 22, 2024

0

23

3

+478

Algebra

Find the largest integer $k$ such that the equation
5x^2 - kx + 8 - 20x^2 + 45 = 0
has no real solutions.

ChiIIBill Jul 22, 2024

0

26

3

+40

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 ..

onyulee Jul 22, 2024

0

35

1

+478

Algebra

Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2 - 2x^2 + 4x - 1.

ChiIIBill Jul 22, 2024

0

30

1

+478

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).

ChiIIBill Jul 22, 2024

0

21

1

+972

Number Theory

Find the largest positive integer $n$ such that $n^3$ divides 15.

Rangcr897 Jul 22, 2024

0

31

1

+972

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}

Rangcr897 Jul 22, 2024

0

27

0

+972

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

39

0

+972

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

16

2

+1208

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.

AnswerscorrectIy Jul 22, 2024

0

23

1

+1208

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.

AnswerscorrectIy Jul 22, 2024

0

25

1

+1208

Geometry

Rectangle $ABCD$ contains a point $X$ such that $AX = 3$, $BX = 3$, and $CX = 3$. Find $DX$.

AnswerscorrectIy Jul 22, 2024

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