Find two positive numbers whose sum is 24 so that the product of the square of the first number and 4th power of the second number is maximum. Express your answer as first number, second number

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: 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: 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: The sum of the squares of two positive consecutive even numbers is 724. What are the numbers?…

A: Consider the given information. Let the first even number is 2x and the second even number is 2x+2.…

Q: Two integers differ by 4. If the sum of their squares is 170, determine the two integers.

A: The detailed solution is as follows below:

Q: The sum of the digits of a 3 digit number is 14. The hundreds digit being 4 times the unit digit. If…

A: here we have to find the ten's place of the number. and according to question there is 3 digit…

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 the difference when the sum of  the first 100 positive odd integers is subtracted from the sum…

A: Topic  =Sequence and series

Q: What two positive numbers whose sum is 90, and the square of their difference times the cube of the…

A: Let us assume a function f(x). For the function f(x), the rate of change of function is given by the…

Q: A two digit number is four times the sum and three times the oorduct of it's digit .Find the number

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Q: The product of two consecutive positive even integers is 14 more than their sum. Find the integers.

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

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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: The tens digit of a certain two digit number exceeds the units digit by four and is 1 less than…

A: Let the two digit number be xy. Here x is ten's digit and y is unit's digit of the number.

Q: find two numbers with a sum that is the first number and a product that is the second number.

A: let two number x and y according to question x+y=x x.y=y

Q: Find four consecutive even integers so that the sum of the first three is 2 more than twice the…

A: Let's assume first four even integers are 2m, 2m+1, 2m+2, 2m+3 Now, if sum of the first three is 2…

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 the two consecutive odd positive integers sum of whose square is 290

A:

Q: The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the…

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Q: What is the number whose square diminishes from three times its 2 times

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Q: A number, x, increased by 3 is multiplied by the same number, x, increased by 4. What is the product…

A: When number X is increased by 3  We will get X+3 When number X is increased by 4 We will get X+4

Q: Find three consecutive odd integers such that the sum of the first and second is 59 less than three…

A: Let the three consecutive odd integers be n-2, n and n+2.

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 numbers whose sum is 9 and their difference is 60.   Smaller- Large number-

A: We have given the - sum of two numbers = 9. difference of two numbers = 60. we have to find the…

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

A:

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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

A:

Q: Find three consecutive odd integers such that the product of the first two is 52 more than the third…

A: Let the three consecutive odd integers are  n-2, n and n+2 So as per question, product of first two…

Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

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

A:

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

A: We have to find the smallest possible value of the sum of their squares when the sum of two positive…

Q: Split the number 750 into two numbers æ and y so that the sum of 8% of the first number and 24% of…

A: An equation is a statement in which two algebraic expressions are equal. If the equation is of the…

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: The length of a rectangle is 4 inches more than its width. If 2 inches are taken from the length and…

A: We are given that the length of a rectangle is 4 inches more than its width.Let us denote L for the…

Q: One positive integer is 4 less than twice another. The sum of their squares is 277. Find 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: Find the two consecutive odd positive integers sum of whose squares is 290

A:

Q: Find three consecutive odd integers such that four times the middle integer is two less than the sum…

A: We have to find

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A:

Q: The sum of the digits of a three-digit number is 12. When the hundreds and tens digits are…

A:

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 the three consecutive integers such that that product of the first and third is one less than…

A: Take three consecutive integer as below :n-1, n , n+1

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

A:

Q: A 10­foot board is cut into two pieces. If one piece is x feet long, express the other length in…

A: The total length of the board is given by L = 10 ft The length of the one piece after cutting is x…

Q: the sum of a number and 12 times its reciporcal is 8. find the number(s).

A: Given:Sum of a number and 12 times its reciprocal is 8.

Q: Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of…

A: Let the parts are x and (32-x) Given that the sum of the squares of the parts = 674 x2 + (32-x)2 =…

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…