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^{+0}
233924 Questions
0
1
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+2394
plz help
John and Ling start their new jobs on the same day. John's schedule is six workdays followed by one day off. Ling's schedule is seven workdays followed by one day off. On how many days during their first year of work ($365$ days)
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LiIIiam0216
Jul 28, 2024
0
1
1
+2394
plz help
Brandon spends his afternoon picking apples from an orchard. He notices that if he groups the apples he picked by fives, six, or sevens, then he ends up with $1$ left over. If he groups by eights, he has $1$ left over. If Brandon
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LiIIiam0216
Jul 28, 2024
0
1
1
+2394
help with mods
Find the number of solutions to
N &\equiv 2 \pmod{6}, \\
N &\equiv 2 \pmod{7}, \\
N &\equiv 2 \pmod{8}
in the interval 0 \le N < 1000.
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LiIIiam0216
Jul 28, 2024
0
1
1
+2394
need help quick
What are the first 5 digits after the decimal point (technically the hexadecimal point...) when the fraction $\frac{2}{7}$ is written in base $16$?
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LiIIiam0216
Jul 28, 2024
0
1
0
+2394
help me
For a certain positive integer $n$, the number $n^{6873}$ leaves a remainder of $3$ when divided by $23.$ What remainder does $n$ leave when divided by $23$?
LiIIiam0216
Jul 28, 2024
0
2
0
+2394
really need help
For an integer $n,$ let $f(n)$ be the remainder when $n^8 + n^{16}$ is divided by $5.$ Compute $f(0) + f(1) + f(2) + f(3) + f(4).$
LiIIiam0216
Jul 28, 2024
0
1
0
+335
Modulo help
Find all integers $n$, $0 \le n < 163$, such that $n$ is its own inverse modulo $163.$
Lilliam0216
Jul 28, 2024
0
1
1
+2394
help mee
Fill in the coefficients:
n(n - 1)(n + 17)(n - 21)(n - 33) = n^5 + ___ n^4 + ___ n^3 + ___ n^2 + ___n + ___
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LiIIiam0216
Jul 28, 2024
0
2
0
+2394
help me help
The Fibonacci sequence is defined by F_1 = F_2 = 1 and F_{n + 2} = F_{n + 1} + F_n. Find the remainder when F_{1000} is divided by 17.
LiIIiam0216
Jul 28, 2024
0
1
0
+2394
need help
Let $m$ and $n$ be non-negative integers. If $m = 6n + 2$, then what integer between $0$ and $m$ is the inverse of $5$ modulo $m$? Answer in terms of $n$.
LiIIiam0216
Jul 28, 2024
0
1
0
+2394
help help
The number $N$ is a multiple of $7$. The base $2$ representation of $N$ is
10011010011ABC110_2.
Compute the ordered triple of digits $(A,B,C)$.
LiIIiam0216
Jul 28, 2024
0
1
4
+4
math
Two sides of a square are divided into fourths and another side of the square is trisected, as shown. A triangle is formed by connecting three of these points, as shown. What is the ratio of the area of the shaded triangle to the area of the square? Express
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rudra849
Jul 28, 2024
0
1
1
+2394
plz help me
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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LiIIiam0216
Jul 28, 2024
0
1
1
+2394
plz help
Express 0.11012 as a base 10 fraction in reduced form.
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LiIIiam0216
Jul 28, 2024
0
1
0
+2394
help help help
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
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LiIIiam0216
Jul 28, 2024
0
1
1
+2394
help me help
Express 2.\overline{57} as a base 10 fraction in reduced form.
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LiIIiam0216
Jul 28, 2024
Jul 27, 2024
+1
2
1
+5
12 people working together can count a box of votes in 4 hours. how long will it take 30 people to count 10 boxes of votes?
12 people working together can count a box of votes in 4 hours. how long will it take 30 people to count 10 boxes of votes?
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Ghyuiiol
Jul 27, 2024
0
1
1
+2394
help me plz
A positive integer is called terrific if it has exactly $10$ positive divisors. What is the smallest terrific positive integer?
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LiIIiam0216
Jul 27, 2024
0
1
0
+2394
need help
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 ..
LiIIiam0216
Jul 27, 2024
0
2
0
+2394
help help
How many bases $b \ge 2$ are there such that $100_b + 1_b$ is prime?
LiIIiam0216
Jul 27, 2024
0
1
1
+2394
I need help
When expanded as a decimal, the fraction \frac{1}{977} has a repetend (the repeating part of the decimal) that begins right after the decimal point, and is $976$ digits long. Find the first three digits after the decimal point.
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LiIIiam0216
Jul 27, 2024
0
2
0
+2394
help me
Find the largest positive integer $n$ such that $n^3$ divides 15.
LiIIiam0216
Jul 27, 2024
0
2
1
+2394
help me quick
Find the unique triple (x,y,z) of positive integers such that and
\frac{1}{x} - \frac{1}{xy} - \frac{1}{xyz} = \frac{1}{3}
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LiIIiam0216
Jul 27, 2024
0
2
0
+2394
help me help
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 ..
LiIIiam0216
Jul 27, 2024
0
1
1
+2394
help me plz
In base $b,$ the square of the number $17_b$ is $211_b$. Find the base $b$.
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LiIIiam0216
Jul 27, 2024
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