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^{+0}
234574 Questions
Aug 30, 2024
0
1
3
+303
Counting
A speech class has $4$ freshmen and $3$ sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that all of the freshmen are standing next to each other?
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onyuIee
Aug 30, 2024
0
1
1
+1341
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 all the psychology textbooks are together?
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kittykat
Aug 30, 2024
0
2
0
+665
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 together? (Two seatings are considered the same if one can be rotated to form the other.)
magenta
Aug 30, 2024
0
1
1
+76
Geometry
Let $G$ be the center of equilateral triangle $XYZ.$ A dilation centered at $G$ with scale factor $-1$ is applied to triangle $XYZ,$ to obtain triangle $X'Y'Z'.$ Let $A$ be the area of the region that is contained in both triangles $XYZ$ and $X'Y'Z'.$ Find
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MEMEG0D
Aug 30, 2024
0
1
2
+864
Algebra
I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?
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Rangcr897
Aug 30, 2024
0
1
2
+480
Algebra
I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and
read more ..
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gnistory
Aug 30, 2024
0
1
2
+96
Algebra
Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m.
read more ..
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bIueb3rry
Aug 30, 2024
0
1
1
+1694
Algebra
The sum
6\left( 1\cdot1 + 2\cdot2 + \dots + n(n) \right)
is equal to a polynomial f(n) for all n \ge 1.
Write f(n) as a polynomial with terms in descending order of n.
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ABJeIIy
Aug 30, 2024
0
1
1
+69
Please help, functions!
Let
Find the function such that is its own inverse.
Any help is appreciated :D
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NotLatePY
Aug 30, 2024
0
1
1
+1023
Number Theory
Find the greatest prime divisor of the value of the arithmetic series
1 + 2 + 3 + \dots + 135 + 136 + 137 + 138 + 139 + 140.
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learnmgcat
Aug 30, 2024
0
1
1
+1023
Number Theory
When fractions are expressed in different bases, they can be terminating or repeating. For example, when \frac{1}{5} is expressed in base 3, the result is
0.\overline{0121}_3 = 0.01210121 \dots,
which is repeating.
When
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learnmgcat
Aug 30, 2024
0
1
1
+76
Algebra
Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Dirk finishes the race, Edith is $10$ km behind, and Foley is $15$ km behind. When Edith finishes the race, how far
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jaekg
Aug 30, 2024
Aug 29, 2024
0
2
0
+521
Number Theory
When $N$ is divided by $10$, the remainder is $a$. When $N$ is divided by $2$, the remainder is $b$. What is $N$ modulo $20$, in terms of $a$ and $b$?
siIviajendeukie
Aug 29, 2024
0
2
0
+2641
Number Theory
An eccentric baseball card collector wants to distribute her collection among her descendants. If she divided her cards among her $13$ great-great-grandchildren, there would be $8$ cards left over. If she divided her cards among her $10$ great-grandchildren,
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LiIIiam0216
Aug 29, 2024
0
2
0
+2641
Number Theory
Carlos wants to send Cecil a message encrypted with RSA. Cecil has published his public encryption exponent $3$ and his public modulus $3$. When Carlos encrypts the number $3$ with this system, what is the result?
LiIIiam0216
Aug 29, 2024
0
2
0
+2641
Number Theory
The House of Lilliput is using RSA encryption to receive secret messages from all the realms. They have published their public encoding exponent $e = 8$ and their public modulus $M = pq = 6$.
Break the code: Find their secret decoding
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LiIIiam0216
Aug 29, 2024
0
1
0
+303
Number Theory
Find an integer $x$ such that $0 \leq x < 205$ and $x^{89} \equiv 17 \pmod{5}$.
onyuIee
Aug 29, 2024
0
1
0
+303
Number Theory
Write the following expression as a fraction in lowest terms:
2 + \cfrac{3}{3 + \cfrac{3}{3 + 3}}.
onyuIee
Aug 29, 2024
0
1
1
+76
Algebra
Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$. If you find more than one value, then list your solutions, separated by commas.
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jaekg
Aug 29, 2024
0
1
1
+76
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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jaekg
Aug 29, 2024
0
2
0
+480
Algebra
Evaluate the infinite geometric series
0.4 + 0.036 + 0.0000324 + ...
Express your answer as a fraction with integer numerator and denominator.
gnistory
Aug 29, 2024
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