Find three positive numbers that sum to 150 with the largest possible product of the three.

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

A: Let the two parts be x and y.x+y = 120⇒ y = 120-x  --------------(1)  Maximize the product of "one…

Q: Find two positive numbers, x and y, whose sum is 100 and whose product is as large as possible.

A: Let the two positive numbers are x and y. Now, Their sum is 100. That is,          x+y=100⇒y=100-x

Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

Q: Find solution using

A: Given,

Q: Find three positive numbers whose sum is 45 and such that their product is as large as possible.…

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Q: The digit of positive integer, having three digits are in AP. And are their sum is 15. The number…

A: given that three digits sum is 15number obtained by reversing the digits is 594 less than the…

Q: The product of two positive integers is 30, and their sum is 17. What are the integers?

A:

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: Find the positive number which gives the smallest answer when you add its square to 16 times its…

A: Let the number is x So,  when I add its square to 16 times its reciprocal, then I get: We have to…

Q: Find three consecutive odd integers such that their sum decreased by the second equals 50.

A:

Q: The sum is 110.Find two positive real numbers whose product is a maximum.

A: Given: The sum is 110.

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

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Q: Find two non negative integers whose sum is 25 and whose product with the square of the other number…

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Q: Find a product solution using separation of variables.

A: The given partial differential equation is                                         x∂u∂x=u+y∂u∂y

Q: Find three positive numbers whose sum is 48 and such that their product is as large as possible.…

A: The solution to the given question is explained below. We use partial differentiation technique to…

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

A:

Q: The product of two positive numbers is 16. Find the numbers if their sum is least.

A: Given the product of two positive numbers is 16

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: Find two positive numbers such that the sum of twice the first number and three times the second…

A: Let one number be 'x' and other number be 'y'.  Given that sum of twice of one number and thrice of…

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: The product of two consecutive interference is 13 less than five times their sum. Find the…

A: Consider the two consecutive integers as x and x + 1.Then, the sum and the product of the two…

Q: Among all of the pairs of numbers whose sum is 6, find the pair with the largest product. What is…

A: Let one of the numbers from the pair be x. Then the second number will be 6-x.

Q: Find two positive numbers the sum of which is 100, and the square of one number times twice the cube…

A: Use the given statement mathematically then solve by making the function and make derivative of that…

Q: Find two consecutive positives even interfere such the sum of their squares is 52?

A:

Q: The sum of the first and three times the second is 42.Find two positive real numbers whose product…

A: This question is taken from the application of derivative in which we have to find the two positive…

Q: Consider two positive whole numbers. One of the numbers is 3 less than twice the other number. Find…

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Q: Find two real numbers x and y whose sum is 36 and whose product is as large as possible

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Q: Find three consecutive positive odd integers such that the square of the first is 9 more than 6…

A: Given : The square of the first is 9 more than 6 times the sum of the second and third

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

A:

Q: Find two positive numbers, x and y, whose product is 100 and whose sum is as small as possible.

A: Suppose x and y be the positive numbers whose product is 100 So, xy=100 Then, y=100x…

Q: Find three positive numbers whose sum is 24 and such that their product is as large as possible.

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Q: . Find the three positive numbers whose sum is 48 and whose product is as large as possible.…

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Q: Find two nonnegative numbers such that the sum of first number and 3 times the second number is 1200…

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Q: Find two nonnegative numbers such that the sum of first number and 4 times the second number is 1600…

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Q: Find three consecutive odd integers such that the sum of the first and second is 27 ess than the…

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Q: express 20 as the sum of two positive numbers such that x^3 + y^2 is as small as possible

A: To express 20 as the sum of two positive numbers such that x3+y2 is as small as possible. Let the…

Q: find three consecutive odd integers such that the sum of the first and the second is sixteen more…

A: Given:The three consecutive integers are odd numbers.The sum of the first two consecutive odd number…

Q: Find two positive numbers whose product is 192 and the sum of the first and three times the second…

A: Suppose two positive numbers are  x and y The product of numbers are 192 therefore, xy=192 ⇒y=192x…

Q: The product of two positive numbers is 363. Minimize the sum of the first and three times the…

A:

Q: Determine what will be the three positive numbers that its product is 27 and its sum is as small as…

A: We will find the three numbers satisfying the given conditions.

Q: The product of two positive numbers is 185. The smallest possible sum of those number is

A: Since,The prime factorization of 165 is 1Q5 =1X5 X37=5X37 ----1 From 1 it is clear that the two…

Q: Find two consecutive whole numbers that √39 lies between. and 10 x 5 ?

A: Given 39 We have to find two consecutive whole numbers that 39 lies between

Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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Q: Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given…

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Q: d two positive numbers such that the sum of the first number and twice the second is 108 and ir…

A: Given query is to find indicated unknown number.

Q: Find two numbers differing by 38 whose product is as small as possible

A: let  one number = x  as difference between numbers = 38 other number = x + 38   Product of two…

Q: Find two consecutive whole numbers that √22 lies between. and X Ś ?

A:

Q: The sum of three positive number is 30. The first plus twice the second plus three times the third…

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Q: The product of two successive integral multiples of 5 is 300. Then the numbers are: 24 34

A: Introduction :

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.