5. How many rectangles are on am x n-size "chessboard"? For example, there are ninerectangles on a 2 x 2-size board: The whole board, 4 smaller squares and 4 ways inwhich 2 squares make a rectangle. Check your answer by calculating the number ofrectangles on a 3 x 3-size chess board.

We have to find the total number of rectangle in m×n-size chessboard.

Answered: 5. How many rectangles are on am x…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The airport sells thirty-five different kinds of cookies. Twenty of these kinds can be purchased only as small cookies and the other fifteen kinds can be purchased only as large cookies. The small cookies cost $3 each and the large cookies cost $4 each. While waiting for her flight, Ingrid decides to order exactly $30 worth of cookies, with each cookie she orders being a different kind. How many different orders can she make? OA. 3 2 ○& (90)+60 +60 O B. 10 4 15 20 OC. (20) (15) + (20) (¹5) + (²2) (¹³) 3 35 OD. (10025) + (6 3526) + (2 827) O E. 20¹0 150 + 206 15³ +20²156
A cashier has a total of 30 bills, made up of ones, fives, and twenties. The number of twenties is 9 more than the number of ones. The total value of the money is $351. How many of each denomination of bill are there? (show work)!!!
Orozco Slack and Vincent Lyle folded paper balls over two days. On Saturday, Orozco Slack folded 45 paper balls more than Vincent Lyle. On Sunday, Orozco Slack folded another 20 paper balls and Vincent Lyle folded another 21. At the end of the two days, Orozco Slack made 7/10 of the total number of balls. What was the number of paper balls that Orozco Slack folded?
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A man is building a gazebo and plans to use for the floor four boards that are 12 5/8 feet, two boards that are 11 3/4 feet, and two boards that are 13 1/2 feet. Find the total number of feet in all the boards.
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Mr Mathews owns a few ice-cream trucks. If he places 5 workers in each truck, he will have 3 extra workers. If he places 7 workers in each truck, he will need 25 more workers. How many ice-cream trucks does Mr Mathew own?
In the sci-fi world of Hanza, two cheeps. are worth three blips. Two blips are worth five dots. Three dots are worth two globs. How many globs are ten cheeps worth?
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chessboard. On the second square, the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on a square 16? Also, find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pounds.)
Travis's carpet has an area of 180 square feet. He hires the CarpetPro carpet cleaning service, which is able to clean 9 square feet of his carpet every minute. Therefore, in the first minute, CarpetPro is able to clean 9 square feet of Travis's carpet (leaving 171 square feet remaining to be cleaned). In the second minute, the cleaner is again able to clean 9 square feet of carpet (leaving 162 square feet to be cleaned), etc. Which of the following functions expresses the number of square feet that still remain to be cleaned after t minutes from the time that the carpet cleaner began cleaning this carpet. A(t)=180−0.9t A(t)=180(0.1)t A(t)=180(0.9t) A(t)=180−9t A(t)=180−0.1t

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5. How many rectangles are on am x n-size "chessboard"? For example, there are nine rectangles on a 2 x 2-size board: The whole board, 4 smaller squares and 4 ways in which 2 squares make a rectangle. Check your answer by calculating the number of rectangles on a 3 x 3-size chess board.