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Post New Question
All Questions
^{+0}
234526 Questions
0
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+53
Help Fast!
Let x,y,z be nonzero real numbers, such that no two are equal, and
Find all possible numeric values of xyz
I got 1 as one of the answers.
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MeldHunter
Jul 23, 2024
+1
1
8
+1786
Hi EP!
This is off-topic, but Hello EP! It's been a while!
I sound like an idiot right now, but I had an old account back in the days, and that account had MANY questions answered by EP!
Just sayin hello! Good to see you!
Also,
read more ..
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NotThatSmart
Jul 23, 2024
0
3
2
+303
Geometry
In the diagram, the four points have coordinates $A(0,1)$, $B(1,3)$, $C(5,2)$, and $D(4.5,0)$. What is the area of quadrilateral $ABCD$?
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onyuIee
Jul 23, 2024
0
8
0
+303
Counting
Starting with the A and moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?
A
RR
CCC
read more ..
onyuIee
Jul 23, 2024
0
6
1
+303
Number Theory
What is the fifth smallest prime number greater than 100?
NotThatSmart
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onyuIee
Jul 23, 2024
0
4
3
+303
Number Theory
Jon teaches a fourth grade class at an elementary school where class sizes are always at least 10 students and at most 15. One day Jon decides that he wants to arrange the students in their desks in a rectangular grid with no gaps. Unfortunately
read more ..
ElectricPavlov
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onyuIee
Jul 23, 2024
0
4
0
+303
Number Theory
What are the first 5 digits after the decimal point (technically the hexadecimal point...) when the fraction $\frac{2}{7}$ is written in base $16$?
onyuIee
Jul 23, 2024
0
4
1
+467
Number Theory
What is the largest positive integer $n$ such that $1457$, $1797$, $709$, $15$, $24$, $197$, $428$ all leave the same remainder when divided by $n$?
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ChiIIBill
Jul 23, 2024
0
2
1
+467
Number Theory
If n \equiv 43 \pmod{165}, then what is the residue of $n$ modulo 2?
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ChiIIBill
Jul 23, 2024
0
4
1
+467
Number Theory
A four-digit hexadecimal integer is written on a napkin such that the units digit is illegible. The first three digits are $7$, $D$, and $3$. If the integer is a multiple of $25_{10}$, what is the units digit?
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ChiIIBill
Jul 23, 2024
0
2
1
+467
Number Theory
How many lattice points (points with integer coordinates) are on the line segment whose endpoints are $(3,17)$ and $(82,150)?$ (Include both endpoints in your count.)
NotThatSmart
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ChiIIBill
Jul 23, 2024
0
4
1
+665
Algebra
Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___
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magenta
Jul 23, 2024
0
2
2
+665
Algebra
Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$
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magenta
Jul 23, 2024
0
3
1
+665
Algebra
Sophie's favorite (positive) number is a two-digit number. If she reverses the digits, the result is 72 less than her favorite number. Also, one digit is 1 less than double the other digit. What is Sophie's favorite number?
NotThatSmart
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magenta
Jul 23, 2024
0
5
1
+665
Algebra
Levans writes a positive fraction in which the numerator and denominator are integers, and the numerator is 2 greater than the denominator. He then writes several more fractions. To make each new fraction, he increases both the numerator and the denominator
read more ..
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magenta
Jul 23, 2024
0
7
0
+303
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 ..
onyuIee
Jul 23, 2024
0
7
0
+303
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 ..
onyuIee
Jul 23, 2024
0
4
1
+303
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 ..
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onyuIee
Jul 23, 2024
0
6
0
+856
Number Theory
A positive integer is called terrific if it has exactly $10$ positive divisors. What is the smallest number of primes that could divide a terrific positive integer?
Rangcr897
Jul 23, 2024
0
4
1
+856
Number Theory
A positive integer is called terrific if it has exactly $10$ positive divisors. What is the smallest terrific positive integer?
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Rangcr897
Jul 23, 2024
0
3
1
+856
Number Theory
Let $N$ be a positive integer. The number $N$ has three digits when expressed in base $7$. When the number $N$ is expressed in base $12$, it has the same three digits, in reverse order. What is $N$? (Express your answer in decim
read more ..
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Rangcr897
Jul 23, 2024
0
1
3
+38
Geometry
How many lattice points (points with integer coordinates) are on the line segment whose endpoints are (3, 17) and (81, 131) (Include both endpoints in your count.).
I know that the slope is 19/13, but what do I do next?
NotThatSmart
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AUnVerifiedTaxPayer
Jul 23, 2024
0
2
1
+820
Geometry
Let ABCD be a trapezoid with bases AB and CD. Let P be a point on side CD, and let X, Y be the feet of the altitudes from P to AD, BC respectively. Prove that if AD = 5, BC = 7, AB = 6, CD = 12, and CP/PD = 1, then PX = 12*sqrt(6)/5 and PY =
read more ..
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Hi6942O
Jul 23, 2024
0
2
0
+820
Geometry
In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 12$, $AY = 12$, and $AC = 12$, find $BC$.
Hi6942O
Jul 23, 2024
0
4
1
+820
Geometry
In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 12$, $AY = 12$, and $AC = 12$, find $BZ$.
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Hi6942O
Jul 23, 2024
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