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

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: You are given a real number N. How should you write it as a sum of two real numbers so that their…

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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: If the 10 term of an AP is 21 and the sum of its first ten terms is 120 find its n term

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Q: 17) One positive integer is 17 more than a second positive integer. If the sum of the first integer…

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Q: The middle digit of a number between 100 and 1000 is zero and the sum of the other digit is 13. If…

A: Number between 100 and 1000 is three digit number. Consider the first digit be x, middle digit be y…

Q: For А - 2аx + Зау + az and В %3 5аx - 2ау - az OAB is:

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Q: Two negative integers are 8 units apart on the number line and have a product of 308. Which…

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Q: Suppose that x and y are real numbers such that y is 6 greater than x. What is the smallest possible…

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Q: A company pays $20 per hour for up to 5 hours of work, and $30 per hour for overtime hours (hours…

A: The Expression for overtime hours is  =  x-5   The Expression for Total earning in overtime hours is…

Q: Suppose that two times a number is added to 8 and the result is positive. What are the possible…

A: Lets assume number =n as per given information    2n+8>0

Q: the sum of four consecutive odd integers if the first integer is x

A: The first integer is x.In general, the consecutive odd integers are, x + 2n where n = 0, 1, 2,…Thus,…

Q: Find two positive integers such that the sum of the first number and five times the second number is…

A: Solution

Q: Verify that for any three consecutive integers, the sum of the smallest and largest is equal to…

A: Given: Three consecutive integers.

Q: A and B can do a piece of work in 3 days, B and C in 4 days, while A and C in 2.5 days. In how many…

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Q: Compute A−2 two different ways and show that the results are equal.

A: Given: To Find: A−2 two different ways and show that the results are equal.

Q: Is any real number exactly 1 less than its cube?

A: Is any real number exactly 1 less than its cube?

Q: Find three consecutive odd integers such that the product of the first and the second is 8 more than…

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Q: For each positive integer n, find the number of positive integers that are less than 210n which are…

A: ANSWER :

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: 2 is > 2 of x, the

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Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: Find three consecutive positive integers such that the product of the first and second is 32 more…

A: Explained below

Q: Find a three-digit positive integer such that the sum of all three digits is 14, the tens digit is…

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Q: 6) The product of two numbers is equal to 192. Find values for these numbers such that the sum is…

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Q: Compute A−2 two different ways and show that the results are equal.

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Q: The product two odd integers is even, whereas the product of an odd integer and an even integer is…

A: The product of two odd integers is odd. The product of an odd integer and an even integer is even.

Q: Show A and Show B are two of the most popular television shows of all time. The number of episodes…

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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 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: When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the…

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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: Compute A−2 two different ways and show that the results are equal.

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Q: What are all of the natural numbers divisible by 8 whose sum of digits is less than 10 and the…

A: Given the requirements

Q: Prove that the sum of the squares of three consecutive integers cannotbe a square.

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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: What two positive real numbers whose product is 50 have the smallest possible sum?

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Q: A can do a piece of work in 80 days . He works at it for 10 days and then B alone finishes the…

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Q: Solve for n; 9n-1 = (; 4n-1 %3D 3.

A: Use the following properties of the exponential function to solve this equation for n.

Q: 2. Find two nonnegative numbers whose sum is 2022 and whose sum of squares is as large as possible

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Q: Find two concecutive odd integers such that when the smaller is added to twice the larger, the…

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Q: The sum of an integer and 4 less than that integer is even.

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Q: 10. Find the three positive numbers whose sum is 60 and whose product is as large as possible.

A: Here we have to find three positive numbers such that there sum is 60 and there product must be…

Q: Find five consecutive odd integers such that when the fifth is subtracted from eigt times the…

A: We're going to solve

Q: If the sum of the digits is divisible by 2, then the number is divisible by 2. true or false

A: If the sum of the digits is divisible by 2, then the number is divisible by 2.

Q: A company pays $20 per hour for up to 5 hours of work, and $30 per hour for overtime hours (hours…

A: Given x is the total hours worked. And beyond 5 hours it will be overtime hours.

Q: Prove that the sum of two consecutive positive odd numbers less than ten gives an even number

A: Given, The sum of two consecutive positive odd numbers less than ten gives an even number.  We have…

Q: How do I solve for A in (4-Ax3=7-Ax6)

A: Add Ax^6 to both sides.