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All Questions
^{+0}
235602 Questions
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1
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+816
Geometry
In quadrilateral PQRS, PQ = QR = RS = SP, PR = 4, and QS = 16. Find the perimeter of PQRS.
AnswerscorrectIy
2 hours ago
0
1
0
+816
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 AMC if [ABC] =180.
AnswerscorrectIy
3 hours ago
0
1
0
+816
Geometry
In triangle $ABC$, $M$ is the midpoint of $\overline{BC}$, and $N$ is the midpoint of $\overline{AC}$. The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle. If $\angle AOB = 90^\circ$, then find the measure
read more ..
AnswerscorrectIy
3 hours ago
0
1
0
+522
Algebra
Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $214$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
cooIcooIcooI17
3 hours ago
Nov 5, 2024
0
1
0
+552
Counting
At a meeting, $5$ scientists, $2$ mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if each scientist must sit next to a mathematician? (Two seatings are considered equivalent
read more ..
Pythagorearn
Nov 5, 2024
0
1
0
+552
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 ..
Pythagorearn
Nov 5, 2024
0
1
1
+552
Counting
I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if there must be a mathematics textbook exactly in the middle, and all the psychology textbooks are
read more ..
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Pythagorearn
Nov 5, 2024
0
1
1
+253
Algebra
If I give my brother $5$ dollars, then we will have the same amount of money. If instead he gives me $10$ dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?
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bIueb3rry
Nov 5, 2024
0
1
1
+253
Algebra
Five times a number is divided by $2$ more than that number. If the result is $6,$ then what was the original number?
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bIueb3rry
Nov 5, 2024
0
1
0
+253
Algebra
Find all values of $a$ that satisfy the equation
\frac{a}{3} + 1 = \frac{a + 3}{a} - \frac{a^2 + 2}{a}.
bIueb3rry
Nov 5, 2024
Nov 4, 2024
+1
1
2
+552
Algebra
Find the minimum value of \frac{x^2}{x - 1 + x^3} for x > 1
Bosco
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Pythagorearn
Nov 4, 2024
0
1
3
+552
Algebra
Find all values of t such that floor(t) = 3t + 4 - t^2. If you find more than one value, then list the values you find in increasing order, separated by commas.
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Pythagorearn
Nov 4, 2024
0
1
0
+552
Algebra
Let
f(x) = \left\lfloor\frac{2 - 3x}{3x + 1}\right\rfloor.
Evaluate f(1)+f(2) + f(3) + \dots + f(999)+f(1000). (This sum has 1000 terms, one for the result when we input each integer from 1 to 1000 into f.)
Pythagorearn
Nov 4, 2024
0
2
1
+253
Algebra
A line passes through the points A, B, and C. Find y.
A = (-7,2), B = (8,-14), C = (10,y)
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bIueb3rry
Nov 4, 2024
0
1
1
+253
Algebra
Find the equation whose graph is shown below. Write your answer in standard form.
(Standard form is $Ax+By = C$, where $A$ is positive, and $A$, $B$, and $C$ are integers with greatest common divisor $1$.)
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bIueb3rry
Nov 4, 2024
0
1
1
+253
Geometry
Points $L$ and $M$ lie on a circle $\omega_1$ centered at $O$. The circle $\omega_2$ passing through points $O,$ $L,$ and $M$ is drawn. If the measure of arc $LM$ in circle $\omega_1$ is $90^\circ,$ and the radius of $\omega_1$ is 1, then find
read more ..
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bIueb3rry
Nov 4, 2024
0
1
3
+250
Counting
Find the number of ways that Magnus can give out $12$ identical stickers to $2$ of his friends, if every friend gets at least one sticker.
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MEMEG0D
Nov 4, 2024
0
1
0
+250
Counting
Miyu is giving out $8$ identical chocolates to her $5$ friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly $7$ chocolates?
MEMEG0D
Nov 4, 2024
0
1
0
+250
Counting
How many solutions are there to the equation
u + v + w + x + y + z = 2,
where $u,$ $v,$ $w,$ $x,$ $y,$ and $z$ are nonnegative integers, and $x$ is at most $1?$
MEMEG0D
Nov 4, 2024
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