How many 3-digit positive integers exist that when divided by 7 leave a remainder of 57

Q: how many integers from 1 to 1000 are multiples of 3 or 5 (or both)

A: We want to find number of integer from 1 to 1000 are multiples of 3 or 5 (or both)

Q: If n is a prime number greater than 3, what is the remainder when n² is divided by 12?

A: The objective of this question is to find the remainder when the square of a prime number greater…

Q: Evaluate 10!/4!(10-4) Type an integer or a simplified fraction

A: It is needed to evaluated 10!/4!(10-4)!.

Q: Suppose a certain number when divided by 13 yields a remainder of 7. If we add 22 to our original…

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Q: How many 3 digit even numbers can be created if repetition of digits is allowed

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Q: How many six-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: From the given information,Sample space = {0,1,2,3,4,5,6,7,8,9}It has been given that the leftmost…

Q: How many zeros does 25! end with?

A: A number will have trailing zeros when 5 and at least one even number are factors of it.   Also, the…

Q: What number has a remainder of 2 when divided by 3, a remainder of 3 when divided by 5 and a…

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Q: How many six-digit positive integers contain exactly one one, two twos and three treor? How many…

A: First note that here six digit integer can start only with 1 or 2. If it starts with 1 the remaining…

Q: Find the number of 3-digit integers that are not divisible by 4, 5, or 6.

A: Find: The aim is to find a three digit number that are not divisible by 4,5, or 6.. Concept: The…

Q: iven that 120=2^3 *3*5 and that n=120*108 write n as a product of powers of its prime f

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Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the reminder 1,5 when…

A: To find- Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder…

Q: if a chicken and a half lays an egg and a half in a day in a half how many eggs will 6 chickens lay…

A: Given that, 1.5 chicken lays 1.5 eggs in 1.5 days.

Q: Find all the whole numbers that have remainder 1 upon division by 4. Write your answer using…

A: We need to find all the whole numbers that have remainder 1 upon division by 4 and write our answer…

Q: How many positive integers less than 1,000,000 have a digit sum of 5?

A: We have to find the number of positive integers 1,000,000 have a digit sum of 5. The number less…

Q: How many even factors does the number 3,809,975,400 have?

A: We will use the basic knowledge of number theory and prime factorization to answer this question…

Q: Find all integers that leave a reminder of 3 when divided by 5,5 when divided by 7 and 7 when…

A: The given problem is to find all the integers that satisfies the given conditions. We have to…

Q: A "S number" is a positive even number that is not the product of two even numbers. A "B number" is…

A: Given: S number= positive even number that is not the product of two even numbers,  B number=an…

Q: Any n consecutive integers will include a number that is divisible by n.

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Q: For two or more natural numbers, how does the greatest common divisor and least common multiple…

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Q: Find all whole#s that leave remainder 3 upon division by 5?

A: The solution is given below:

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5?

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Q: Find to 25 does not require any dividing in order to determine if a number is divisible by 25.

A: The objective of this question is to determine if a given number is divisible by 25 without using…

Q: Find the number of positive integers not exceeding 100 that are either odd or the square of an…

A: The objective is to find the number of positive integers not exceeding that are either odd or the…

Q: When an integer n is divided by 6, the remainder is 5. What are the possible values of the remainder…

A: From the statement, we can say that

Q: How many days are there are there in 157 weeks

A: We know that in one week there are seven days.We have to find the number of days in 157 weeks.

Q: How many ways are there to write a 3-digit positive integer using the digits 1, 3, 5, 7, and 9 if no…

A: The given digits are: 1, 3, 5, 7, and 9. We have to find the number of ways to write a 3-digit…

Q: How many hexadecimal numbers from 1 through FFFF do not have any repeated digits?

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Q: Determine two numbers whose sum is 36 and whose product is the largest possible. 20 and 16 15 and 21…

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Q: Find the sum of the first 20 positive even integers.

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Q: Just out of curiosity, how many positive integer factors does 15! have?

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Q: John found the sum of the first 2021 positive even integers and Bob found the sum of the first 2022…

A: In this question, tne concept of sum of first positive even integers is applied.

Q: m Additional Materials eBook Submit Answer MY NOTES x cm 15. [-/1 Points] DETAILS ISM Meters. How…

A: We will find the required.

Q: How many zeroes does 188! end with?

A: count number of five's in 188, 5*2=10 . Divide 188 and write quotient again divide quotient again by…

Q: PLEASE DO THIS ASAP IM BEGGING YOU, SHOW ALL THE WORK PLEASE How many integers must you pick to be…

A: By using Pigeonhole Principle we solve the given problem as follows :