Among all pairs of numbers with a sum of 105105, 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: If club members charge $3 admission to a classic car show, 1000 people will attend, and for each $1…

A:

Q: If five times the fifth term of an AP is equal to 8 times its eighth term, show that its 13th term…

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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: 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: 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: The sum of some three-digit number and 10 times the sum of its digit is 496. Find that number.

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Q: The left and right numbers of an open book are two consecutive integers whose sum is 113. Find these…

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Q: The sum of the first and second of three consecutive even integers is 138. Find the three even…

A: Let us consider the three even integers as:   2k, 2(k+1), 2(k+2)

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 sum 1+2+3+....n is equal to one three-digit number with the same digits. Determine that number.…

A: We have to find the sum of n natural numbers and equate it to a 3 digit number .  Let the digits of…

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

A:

Q: Among all pairs of numbers with a sum of 149, find the pair whose product is maximum. Write your…

A: given that sum of all pair of numbers is 149 and product of pair is maximum find the pair and write…

Q: Find three consecutive integers such that one half of their sum is between 15 and 21.

A: Let x, x + 1, x + 2 are three consecutive integers. Now, half of their sum is between 15 and 21

Q: two integers whose products is 153 but sum equals 8

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

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Q: The left and right page numbers of an open book are two consecutive integers whose sum is 469. Find…

A: An integer is a number without a fractional part. For example, 1.01 has a fractional part equal to…

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

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Q: Find two numbers whose sum is 24 and whose product is as large as possible

A: Solution: The objective is to find the two numbers whose sum is 24 and whose product is as large as…

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 FIND FOUR CONSEeuTIVE ODD INTEGERS WHOSE SuM IS 4,968. b) IF EIGHT TIMES A CERTAIN NUMBER IS…

A: Given: a) four consecutive odd numbers whose sum is 9968 b)If 8 times a certain number is increased…

Q: List all the rational numbers in this set: (-7, -4/5, 0, 0.25, √3, √4, 22/7, Π}

A: List all the rational numbers in this set: (-7, -4/5, 0, 0.25, √3, √4, 22/7, Π}

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

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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: Reduce to lowest terms: 2x3-x2-5x-2 x-2

A: Solve

Q: Find four consecutive integers that the sum of the second and fourth is 132.

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Q: The sum of two consecutive even integers is 126. What are the integers?

A: Let, the first even integer be x. And the other is 2x+2. Now, The sum of two consecutive even…

Q: The sum of three consecutive integers is 93. What are the integers?

A: Let the integers be x, (x+1) and (x+2).  Thus, the sum of x, (x+1) and (x+2) is 93.

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: What 3-digit number has the number 5 as its digit in the tens place and the digit in the hundreds…

A: The digit in the tens place is 5. Consider the number is x5y. The digit of the hundreds place is…

Q: A football team lost four yards on each of three consecutiveplays. Represent the total loss as a…

A: The total number of loss is 3 and the team lost 4 years. And lost means negative yardage.

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 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: Find three consecutive odd integers whose sum is 555. (Hint: if n represents the smallest of the…

A: The sum of there consecutive odd integers is 555. n represents the smallest of the three integers,…

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: A 24​-inch board is to be cut into three pieces so that the second piece is 3 times as long as the…

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Q: Find three consecutive even natural numbers whose sum is 126 .

A: To find the three consecutive even natural numbers

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

A: An equation in the unknown x is formulated as the given word problem.

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

A: Given Data The number of people attends the show if club member charges a=$9 admission is P=1000.…

Q: Correct Find three consecutive odd integers such that the sum of twice the first and three times the…

A: solution:-Let three consecutive odd integers are2n+1,2n+3 and 2n+5where, n=1,2,3,4,5...now,the sum…

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: 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 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…