Fill a 4X4 magic square with real numbers so that the product of the numbers in each row is less than 10 but the product in each column is larger than 20!

Q: The sum of one positive number and the square of another equals to 24. Choose the numbers so that…

A: The sum of one positive number and the square of another equals to 24. Choose the numbers so that…

Q: The sum of the length and girth (perimeter of a cross section) of packages carried parcel post…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: What two positive real numbers whose product is 72 have the smallest possible sum?

A: let two real numbers are a and b then according to question ab=72..........(I) let sum is S then…

Q: A rectangle piece of a metal has a length that is 10 inch longer than it’s width. Squares with sides…

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Q: A rectangle has a base of 16 inches and an altitude of 8 inches. Find the dimension of the largest…

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Q: A rectangle is inscribed in a right triangle of sides 5, 12, and 13. What are the dimensions of the…

A: A rectangle is inscribed in a right triangle of sides 5, 12, and 13. The rectangle of greatest area…

Q: A total of 23 rows are required to build a brick wall. The bottom row requires 117 bricks and each…

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Q: A rectangular sheet of metal is twice as long as it is wide. Squares by 3cm by 3cm, are cut from…

A: Let the breadth of the rectangle sheet be b Then, length of the sheet will be 2b Now, square by 3 cm…

Q: 4. An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting…

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Q: a. A rectangle has a length of 3 inches and a width of 5 inches. How would the perimeter and the…

A: According to a Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: Suppose a long rectangular sheet of metal, 12 inches wide and 10 feet long, is to be made into a…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A: the triangle is an equilateral triangle. the length of one side is L.

Q: Find the dimensions of the largest rectangle that can be inscribed in the right triangle with side…

A: Area of rectangle= length×bredth

Q: 8. Separate 12 into 2 parts so that the sum of the squares is 272. How big is each part?

A: Let first no. x and second one 12- x.

Q: DA farmer wanted to plant six different crops in a rectangular field. To protect it from animals…

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Q: The product of two positive integers is 112, and their sum is 22. What are the integers?

A: Since, we have been given that the product of integers is 112 and their sum is 22.Let 'x' and 'y'…

Q: A building has 13 smaller units of identical dimensions of rectangular shape and 5 larger units…

A: Given that,1. A building has 13 identical rectangular units and 5 identical square units. 2. Square…

Q: When 5 is added to natural number n it gives a perfect square and when 11 is subtracted from n it…

A: When 5 is added to natural number n it gives a perfect square and 11 is subtracted from n it also…

Q: Can a number N, sum of whose digits is 21345, be a square of a natural number?

A: Given: a number N, sum of digit is 21345

Q: 2) The length of a rectangle exceeds the width by 10 cm. If each dimension were increased by 3 cm,…

A: Given that length of rectangle exceed width by 10 cm. Area of rectangle after 3 cm increase in each…

Q: Suppose you must use 1x“-tile and 10 x-tiles. You only have up to 15 1-til use. How many of the…

A: Introduction: A rectangle is a quadrilateral with equal angles and opposite sides that are equal and…

Q: The sum of one positive number and the square of another equals to 21. Choose the numbers so that…

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Q: A rectangular field is to be enclosed by a fence and divided into three lots by fences parallel to…

A: To find the dimensions of the largest field that can be enclosed with 800 feet of fencing

Q: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a…

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Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: . If in a rectangle, the length is increased.and the breadth is reduced by 2 units each, the area is…

A: let the length of the rectangle be L units and the breadth of the rectangle be b units  so its area…

Q: A rectangular field is to be fence into four equal parts. What is the size of the largest field that…

A: Given information:- A rectangular field is to be fence into four equal parts. What is the size of…

Q: An open-topped box can be created by cutting congruent squares from each of the four corners of a…

A: Given, l= 30-2x b= 20-2x h= x Volume= 1008 cm³

Q: Find two positive integers such that the sum of the firstnumber and four times the second number is…

A: Let the first number be x. Let the second number be y.   Given: x+4y=1000x=1000-4y   Determine the…

Q: In a very simple computer chip, 8 wires go from one transistor to a second transistor. For the…

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Q: #11. A metal bar is to be divided into two pieces so that one piece is 3 centimeters longer than…

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Q: 19. The sum of 3 real numbers is known to be zero. If the sum of their cubes is e™, what is their…

A: Solve #19

Q: What are all of the natural numbers divisible by 8 whose sum of digits is less than 10 and the…

A: Given the requirements

Q: A rectangle is three timesas long as it is wide and has the same perimeter as a square whose area is…

A: Let the width of the rectangle is x. According to the question length of the rectangle will be 3x.…

Q: Prove that the sum of the squares of three consecutive integers cannotbe a square.

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Q: Find two numbers whose sum is 20 and whose product is maximum?

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Q: What two positive real numbers whose product is 50 have the smallest possible sum?

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Q: Suppose two squares of the same color are removed from an 8 x 8 chessboard. Is it possible to tile…

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Q: 2. Find two nonnegative numbers whose sum is 2022 and whose sum of squares is as large as possible

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Q: 'Prove that the relative error of a product of 3 non zero numbers does not exceed the sum of the…

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Q: What is the maximum product of two numbers that add to 28? What numbers yield this product?

A: Given query is to find two numbers that add to 28 and their product will be maximum

Q: A rectangle is inscribed in a right triangle of sides 5, 12, and 13. What are the dimensions of the…

A: Let x and y  be the side lengths of  the rectangle then area is A=xy And by similar triangles are,…

Q: A number with 100 digits is given. The first two digits of that number are 2 and 9. How many digits…

A: Given:          No.of digits in given number  =100 digits.        The first two digits of that…

Q: Consider two real numbers such that the sum of their squares is no more than 1. How big can the sum…

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Q: A rectangular lot whose perimeter is 220 feet is fenced along three sides. An expensive fencing…

A: Let x = length, y = width. Given: Perimeter = 220 feet Cost of length per foot = $20 Cost of width…

Q: A termite lives in the very middle of a large cube divided into 27 small cubes. It has always…

A: Given that, A termite lives in the middle of a large cube divided into 27 small cubes. Let us color…

Q: two diagonally opposite corners of a standard chessboard are removed. Is it possible to cover the…

A: Given that, Two diagonally opposite corners of a standard chessboard are removed. Every domino in a…

Q: A rectangular field is to be enclosed by a fence and divided into three lots by fences parallel to…

A: Step 1 Given: Perimeter of field fencing= 800ft 3lots are obtained by parallel fencing

Q: Suppose it takes 10 hours to fill a rectangular swimming pool of uniform depth. How long will it…

A: Solve using flow rate.