All Questions ⁺⁰236046 Questions

+2

12

3

+17

Algebra (please help!)

Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 3 times as much money as Bob. read more ..

its.sabriebrie Jul 17, 2024

0

12

2

+893

Number Theory

Find the remainder when 40^{13} is divided by 81.

AnswerscorrectIy Jul 17, 2024

+1

12

1

+893

Number Theory

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 $n$.

AnswerscorrectIy Jul 17, 2024

+1

6

1

+1310

Algebra

Let a and b be the solutions to 5x^2 - 11x + 4 = 4x^2 - 17x + 6. Find 1/a^3 + 1/b^3.

learnmgcat Jul 17, 2024

+1

8

1

+1310

Algebra

Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 + 11x - 6. Find u/v^2 + v/u^2.

learnmgcat Jul 17, 2024

+1

12

1

+1310

Algebra

Let a and b be the solutions to 7x^2 + x - 5 = -3x^2 - 9x - 4. Compute (a - 4)/(b - 4) + (b - 4)/(a - 4).

learnmgcat Jul 17, 2024

+1

13

1

+1310

Algebra

Seven years ago, Grogg's dad was $9$ times as old as Grogg. Four years ago, Grogg's dad was $6$ times as old as Grogg. How old is Grogg's dad currently?

learnmgcat Jul 17, 2024

+1

10

1

+1310

Algebra

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 28/9 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

learnmgcat Jul 17, 2024

+1

17

2

+842

Number Theory

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.

RedDragonl Jul 17, 2024

+1

9

2

+842

Number Theory

Fill in the coefficients:
n(n - 1)(n + 17)(n - 21)(n - 33) = n^5 + ___ n^4 + ___ n^3 + ___ n^2 + ___n + ___

RedDragonl Jul 17, 2024

+1

21

1

+842

Number Theory

For an integer $n,$ let $f(n)$ be the remainder when $n^8 + n^{16}$ is divided by $5.$ Compute $f(0) + f(1) + f(2) + f(3) + f(4).$

RedDragonl Jul 17, 2024

+1

17

1

+842

Number Theory

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 $23$?

RedDragonl Jul 17, 2024

+1

20

1

+842

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 $16$?

RedDragonl Jul 17, 2024

+2

15

1

+14

help with geo please!

In triangle ABC, points P and Q are on side and point R is on side If and then find
I'm getting but apparently it's incorrect. Please, anyone, I really need help. Thank you! read more ..

readyformathlearning Jul 17, 2024

+1

14

1

+2653

Number Theory

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.

LiIIiam0216 Jul 17, 2024

+1

12

1

+2653

Number Theory

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 read more ..

LiIIiam0216 Jul 17, 2024

+1

8

0

+2653

Number Theory

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) read more ..

LiIIiam0216 Jul 17, 2024

+1

14

0

+2653

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 $b$?

LiIIiam0216 Jul 17, 2024

Jul 16, 2024

+1

9

0

+1557

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, read more ..

parmen Jul 16, 2024

+1

12

0

+1557

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?

parmen Jul 16, 2024

+1

16

0

+1557

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 read more ..

parmen Jul 16, 2024

0

13

0

+1557

Number Theory

Find an integer $x$ such that $0 \leq x < 205$ and $x^{89} \equiv 17 \pmod{5}$.

parmen Jul 16, 2024

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