Among all pairs of numbers with a sum of 149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.

Q: If club members charge $7 admission to a classic car show, 1000 people will attend, and for each $1…

A: Assume $1 is increased x times. So, price= Initial price+increased price*x =7+1*x =7+x Quantity=…

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 perimeter of a rectangle is 180 feet. describe the possible lengths of a side if the area of the…

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Q: The perimeter of a rectangle is 50 feet. Describe the possible lengths of a side if the area of the…

A: Given, The perimeter of a rectangle is 50 feet and the area of rectangle is not exceeding than 114…

Q: Among all pairs of numbers with a sum of 83, find the pair whose product is maximum. Write your…

A: Given :- The sum of pairs of number is 83. To determine the pair whose product is maximum.

Q: what number is less than 0 but also closest to 0

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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: Find two positive numbers that satisfy the given requirements.

A: Let the numbers be x and y,Their product is 147,xy = 147y = 147x              .........(1)given that…

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: Among all pairs of numbers whose sum is 86, find a pair whose product is as large as possible.

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Q: Among all pairs of numbers with a sum of 239, find the pair whose product is maximum. Write your…

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

A: For stationary value of a function y = f(x),   y' = f'(x) = 0  A function y = f(x)  is said to have…

Q: Among all pairs of numbers with a sum of 59, find the pair whose product is maximum.

A: Given: The sum of two numbers is 59, To find: The numbers such that their product is maximum.

Q: Among all pairs of numbers with a sum of 237, find the pair whose product is maximum. Write your…

A: Let one number be x and then the other is 237-x. Now, we need to maximize x(237-x). Let f(x) =…

Q: The perimeter of a rectangle is 180 feet. Describe the possible lengths of a side if the area of the…

A:

Q: Among all pairs of numbers with a sum of 105105, find the pair whose product is maximum. Write your…

A: let two numbers are x,yso x=y=105105now we have to maximise 'xy'maximum…

Q: Find three consecutive even integers such that three times the smallest integer is four more than…

A: Given,         The three consecutive even integers such that three times the smallest integer is…

Q: A 48­foot­long piece of cable wire is to be cut into three pieces so that the second piece is five…

A: A 48­foot­long piece of cable wire is to be cut into three pieces,the second piece is five times…

Q: The quotient of a number and 15 is no greater than 450. What are the possible values for the number?

A: Let x be the number

Q: The sum of two consecutive even integers is 106. What are the integers?

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Q: A person can pay $43 for a membership to the science museum and then go to the museum for just $1…

A: Let,  x be the number of visits. Cost for one visit- $1 Cost for x visits -$x Cost of membership to…

Q: Find two numbers whose sum is 10, and the sum of whose squares is a minimum. Please put the…

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Q: Find two positive numbers that satisfy the given requirements.

A: Given :           The sum of two times the second number and the first number is 108. To calculate :…

Q: A sum of $280 is to be used to award four prizes. If each prize after the first is $20 less than its…

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Q: A sum of $2700 is to be given in the form of 63 prizes. If the prize is of either $100 or $25, find…

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Q: Among all pairs of numbers with a sum of 211, find the pair whose product is maximum. Write your…

A:

Q: Find two positive numbers that satisfy the given requirements.

A: Let x = First number , y= second number   As per given, x3+y=500⇒y=500-x3      (i)

Q: A piece of wire, L inches long is to be used to form a square and a circle. How much of the wire…

A: A piece of wire is used to form a square in first case and then a circle.

Q: Among all rectangles that have a perimeter of 208, find the dimensions of the one whose area is…

A:

Q: The sum of four consecutive even integers is 148.what are the integers?

A: Given that the sum of four consecutive even integers is 148. find out the integers?

Q: A 42​-inch board is to be cut into three pieces so that the second piece is twice as long as the…

A: Given that length of first piece = x Length of second piece = 2x Length of third piece = 3x

Q: The sum of two numbers is 10. Find the maximum product of the first number and the second number.

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Q: A 48-foot piece of siding is cut into three pieces so that the second piece is three times as long…

A: Here we have to use the concept of linear equation.

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

A:

Q: Among all pairs of numbers with a sum of 229, find the pair whose product is maximum. Write your…

A: Given:     All the pairs of the number with a sum 229

Q: Among all pairs of numbers (x,y) such that 3x+y=8 , find the pair for which the sum of squares,…

A: Given condition,           3x + y = 8                     y  = 8 -3x             —1Function to be…

Q: Among all pairs of numbers with a sum of 59, find the pair whose product is maximum. Write your…

A: Given data: The sum of pair is x+y=59.

Q: Among all rectangles that have a perimeter of 176 , find the dimensions of the one whose area is…

A:

Q: The sum of one number and three times the second number is 48. What will be the maximum product of…

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Q: Find two numbers whose difference is 128 and whose product is a minimum. X (smaller number) 64 64…

A: Given :difference of two number is 128

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: If club members charge $7 admission to a classic car show, 1000 people will attend, and for each $1…

A: Given, Charges of admission for 1000 people = 7 $ / member If charges increase by 1 $ per member ,…

Q: Among all rectangles that have a perimeter of 170, find the dimensions of the ones whose are is the…

A: To be found: The dimensions of the ones whose are is the largest, Among all rectangles that have a…

Q: The sum of three consecutive odd integers is 159. What is the largest integer?

A: Given : The sum of three consecutive odd integers is 159.

Q: Please give the intersection and write the solution set in interval notation x >= 5 and x >= 4…

A: The inequality of x greater than or equal to 5 include the set of all real numbers taken from 5 to…

Q: If club members charge $9 admission to a classic car show, 1000 people will attend, and for each $1…

A: Given:  The club members charge $9 for admission to a classic car show and 1000 people will attend,…

Q: If club members charge $3 admission to a classic car show, 1000 people will attend, and for each $1…

A: Let the price of the ticket be $3 let the increase in price is $x Therefore, Price of the show will…

Q: Among all rectangles that have a perimeter of 218218, find the dimensions of the one whose area is…

A:

Q: Among all pairs of numbers with a sum of 207, find the pair whose product is maximum. Write your…

A: Using the concept from geometry, the area of the rectangle(product of sides) is maximized when it is…