Find two numbers whose sum is 10. and the sum of whose squares is minimum 3, 7 4, 6 5, 5 2, 8

Q: A printer receives an order to produce a rectangular poster with a print area of 960 square inches…

A: A printer receives an order to produce a rectangular poster with a print area of 960 square inches…

Q: Find three consecutive even intergers such that the product of two smaller numbers is the same as…

A: Let the consecutive even integers be  x, x+2,x+4, where x  is even , then we use the given condition…

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: The sum of the perimeters of an equilateral triangle and a square is 15. Find the dimensions of the…

A: To find the dimension of triangle.

Q: Find three positive numbers whose sum is 36 and such that the sum of their squares is as small as…

A: Solution is given below:

Q: Four whole numbers are each rounded to the nearest 10 The sum of the four rounded numbers is 90 What…

A: Given: Four numbers each rounded to the nearest 10. Sum of the four rounded number is 90.

Q: Divide 120 into parts so that the product of one and the square of the other is maximum, find the…

A: Consider the two numbers be 120-x and x. Consider the function fx be product of 120-x and x2.…

Q: To get into the 250 Club, a bowler must score an average of 250 for a three-game series. If a bowler…

A: Average score is 250 for a three game series.

Q: Find all sets of three positive consecutive even integers such that twice the sum of the two is less…

A: First take three consecutive even integer and then satisfied condition

Q: To receive Grade ‘A’ in a course, one must obtain an average of 90 marks ormore in five examinations…

A:

Q: Show that the sum of the lengths of the two shortest sides is greater than the length of the third…

A: To show that Sum of the lengths of the two shortest sides is greater than the length of the third…

Q: A man wants to cut three lengths from a single piece of board of length 91cm.The second length is to…

A: Let the length of the shortest piece be x cm. Then length of second piece and third piece are (x+3)…

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $528/person/day if…

A: Given the owner of a luxury yacht charges $528 per person per day if exactly 20 people sign up for…

Q: Find the minimum sum of two positive numbers (not necessarily integers) whose product is 200.

A:

Q: 2. The sum of two positive numbers is 16. What is smallest possible value of the sum of their…

A:

Q: The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 5…

A:

Q: Find three consecutive even integers such that three times the sum of the smaller two integers is 22…

A:

Q: Find the numbers whose sum is 20, if the product of one by the cube of the other is to be maximum.

A: This question is about sum and product of 2 numbers & to find maximum.

Q: A witness to a hit-and-run accident told the police that the license number contained the letters…

A: The license number contains the letter RLH followed by 3 digits, the first of which is 5  can be…

Q: What is the maximum product of two numbers whose sum is 9 ​? What numbers yield this​ product?

A: The sum of two numbers is 9.

Q: Find two numbers with difference 138 and whose product is a minimum. Enter your answers in…

A: SOLUTION-

Q: Find two numbers with difference 138 and whose product is a minimum. Enter your answers in…

A:

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $408/person/day if…

A: Let x be the number of additional passengers.For additional x passengers, the revenue becomes,

Q: х — 4 4. у х — 3

A: Given: - The function is, y=x-4x-3 To find: - Sketch a graph of the function. Label any intercepts,…

Q: Determine the quadratic equation that best fits the given set of data: (1, 2), (2, 3), (4, 3), (6,…

A:

Q: Find the perimeter of the rectangle that has its 4 corners: (1,2), (7,2). (1-4) and (7-4)

A:

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $376/person/day if…

A: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $376/person/day if…

Q: A witness to a hit and run accident told the police that the license number contained the letters…

A: number of digits  = (0,1,2,3,4,5,6,7,8,9)  total number of digits = 10 Out of 10 digits we know the…

Q: If the square of the length of the inside of a triangle equals the sum of the squares of the Lengths…

A: Given, If the square of the length of the inside of a triangle equals the sum of the squares of the…

Q: The perimeter of a rectangle is to be no less than 72 centimeters and the width must be 17…

A: In the question we have to find minimum length of the rectangle.

Q: A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A:

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

A:

Q: On a vacation trip to Canada, a family travels 500 kilometers each day. If the trip lasts 3 days and…

A: Given Day 1→80 km/hr500 kilometersDay 2→93 km/hr500 kilometersDay 3→87 km.hr500 kilometers

Q: Find four positive numbers whose sum is 100, difference is 10 and product have maximum values

A:

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $392/person/day if…

A: Given data: The fare for 20 people is $392/person/day. Price reduced for each passenger is c=$4.

Q: witness to a hit-and-run accident told the police that the license number contained the letters RLH…

A:

Q: A 240-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A: Solution is given below:

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: Find three numbers which add to 100 and whose product is maximized.

A:

Q: The sum of two numbers is k. What are the numbers if the product of the first by the cube of the…

A: Let two numbers be x, y Sum of the two numbers is given as k Therefore, x+y=k ...(1) Now, it's given…

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (smaller number) (larger…

A: Our Aim is to find two positive numbers whose product is 36 and whose sum is a minimum.Let 'x'…

Q: Find two numbers whose difference is 42 and whose product is a minimum. Step 1 If two numbers have a…

A:

Q: 2. The sum of two numbers is 12. Find the two numbers if the sum of their squares is to be a…

A:

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: The line segment joining P1(4,6) and P2(-3,-5) is to be divided into two parts such that one part is…

A: We have to find point of division

Q: A group of 5 students must write a report that is between 4500 and 5000 words in length.They have…

A: Arithmetic.

Q: Find two numbers with difference 110 and whose product is a minimum. Enter your answers in…

A: The objective is to find two numbers whose difference 110 and whose product is a minimum.

Q: Find two numbers whose difference is 166 and whose product is a minimum. Step 1 If two numbers have…

A:

Q: Are there numbers whose squares are smaller than the numbers themselves

A: To find number such that x2 < x.

Q: The sum of the perimeters of an equilateral triangle and a square is 23. Find the dimensions of the…

A: Let x be the side of equilateral triangle and y be side of square . Then respective perimeters are…