4) The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum.

Q: Find the least amount of different numbers to pick from positive integers that are at most 100 to…

A:

Q: Find the number of ways in which 2 boys and 6 girls can be seated in a row if the two boys must not…

A: As per our policy we can solve only 1 question per post. Kindly repost for remaining questions.

Q: A student needs 6 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for the number of n combinations taken r at a time is given by Crn=n!r!n-r!.

Q: (i) Determine how many rows are in the corner section of a stadium containing 3920 seats if the…

A: the total number of seats in the stadium are 3920  the first row has 10 seats,  The second row has…

Q: A company wants to have 4-digit phone extensions with the first digit not being zero. How many…

A:

Q: the largest of 81 consecutive integers is 327, what is the smallest

A:

Q: How many three digit numbers have the property that the sum of that number and the three digit…

A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: an auditorium has 45 seats in the 1st row, 52 seats in the 2nd row, 59 seats in the 3rd row, and so…

A: Given 45,52,59,............ To find : Number of seats in 35th row Given expression is in…

Q: A company wants to have 6-digit phone extensions with the first digit not being zero. How many…

A: Given, No. of digit in phone extension = 6 First no- cannot be  0 Therefore no. of ways it can be…

Q: A woman with a basket of eggs finds that if she removes the eggs from the basket 3 or 5 at a​ time,…

A: Ans 16

Q: 1) The sum of three consecutive even integers is 768. Find the integers.

A: Solve to find the integers

Q: The number of 3-digit numbers less than 400 that can be created if the last digit is either 4 or 5…

A: Solution  :

Q: If the mean of aneven number of consecutive integers is 0.5, what is the sum of two middle integers?

A: Here, The mean of an even number of consecutive integers is 0.5

Q: The sum of three succeeding odd integers is 75. The largest interger is

A: Given that the sum of three succeeding odd inter is 75 To find the largest integer

Q: If the sum of the first n even natural numbers is 420, find the value of n

A:

Q: Solve by the method of your choice:How many different four-letter passwords can be formed from the…

A: If repetition of letters is not allowed, we will use Permutations to find the number of…

Q: How many pairs to sum an even number or one greater than 9?

A: Please see the below picture for detailed solution.

Q: How many digits should be removed from a 1000-digit number 2008... 2008 such that the sum of…

A:

Q: 2. If the sum of three consecutive integers equals 60, what is the

A:

Q: A tennis player keeps track of the number of successful first serves he makes. During the first 8…

A: After x successful serves, his total number of serves is going to bex+8, as he had already served 8…

Q: There were more than 24 glasses, but less than 100 glasses. If the glasses were in rows of 6, there…

A:

Q: A company wants to have 7-digit phone extensions with the first digit not being zero. .... How many…

A:

Q: 3.) The sum of 4 consecutive even integers is 1,068. What is the largest integer? What is the 3rd…

A:

Q: 2. The sum of a two-digit number is 13. When 27 is added to the original number, the result is the…

A: Given that, Let number is xy, According to question, x+y = 13...........(1) and xy + 27 = yx or…

Q: Two persons are to run a race, but one can run 11 meters per second, whereas the other can run 6…

A: Topic:- algebra

Q: How many children are there in a family wherein each girl has as many brothers as sisters, but each…

A: Let assume Number of sister = x Number of brother = y

Q: When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the…

A:

Q: Two integers, a and b, have a product of 48. What is the least possible sum of a and b? The least…

A: Answer is a+b= -49. Explanation is given below...

Q: In the game of football, a team can score either a touchdown for six points or field goal for three…

A: The objective is to look for scores which cannot be achieved if the team scored under 30 points. It…

Q: If the mean of an odd number of consecutive integers is zero, what is the sum of the three middle…

A: It has been provided that the mean of an odd number of consecutive integers is zero.

Q: 4. The sum of two consecutive even integers is less than 55 but greater than 21. Find at least 3…

A: Given that the sum of two consecutive even integers is less than 55 but greater than 21. We have to…

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: If all the books on a shelf with fewer than 45 books were put into piles of five books each, no…

A: number of books is m, m < 45. If they are arranged into piles of five books, each no books would…

Q: 3) The sum of three consecutive numbers is 72. What are the smallest of these numbers?

A:

Q: king in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of…

A: the grains keep multiplying by 2 on each box On the second square the king would place 2 grains of…

Q: The sum of an integer and 4 less than that integer is even.

A:

Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost…

A: Given:  There are two types of two types of tickets to a show: advance and same‐day.Advance tickets…

Q: A sales person has a goal of averaging $2000 worth of sales per day.  During the first four days of…

A:

Q: Prove that the sum of two consecutive positive odd numbers less than ten gives an even number

A: Given, The sum of two consecutive positive odd numbers less than ten gives an even number.  We have…

Q: If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 289,find the sum of first n…

A:

Q: Solve by the method of your choice: In a race in which six automobiles are entered and there are no…

A: We have to find ways in which first four finishers come in.

Q: A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first…

A: Using the rules of Geometric progression we can solve for the statement

Q: 2. The sum of three consecutive odd integers is 159. What is the product of the smallest integer and…

A:

Q: If n EN and n < 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Given: n∈ℕ And n&lt;2000

Q: The sum of the four positive integers a, b, c, and d is at most 10. Find the number of possible…

A: Explanation of the answer is as follows

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.