The product of two positive integers is 48, and their sum is 14. What are the integers?

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: What two positive real numbers whose product is 72 have the smallest possible sum?

A: let two real numbers are a and b then according to question ab=72..........(I) let sum is S then…

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: pair of these integers with a sum equal to 9.

A: Let us take set under consideration {1,2,3,4,5,6,7,8}Possible pairs {{1,8}, {2,7}, {3,6}, {4,5}}…

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 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 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: 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: ,2 Evaluate x-6x +3 for x= 3+ i

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Q: Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.…

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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: 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…

A:

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

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

A: ANSWER :

Q: What are the steps to prove 4(x-3/2)^2 = (2x-3)^2

A: Given: 4x-322=2x-32 We have to prove left hand side of equation is equal to the right hand side 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: suppose the sum of two positive numbers a and b is 13. What is the largest valu that ab^2 can be?

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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 that there are infinitely many examples of two consecutive positive integers that cannot be…

A: According to the given information, It is required to prove that there are infinitely many examples…

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: Two integers, a and b, have a product of 48. What is the least possible sum of a and b? The least…

A: Answer is a+b= -49. Explanation is given below...

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

A:

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: Find two consecutive integers such that tn more than twice the smaller is seven less than three…

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

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

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

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Q: The distance between x and 3 on a number line is no more than 0.5.

A: Given: The distance between x and 3 on a number line is no more than 0.5

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: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

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: The sum of the four positive integers a, b, c, and d is at most 10. Find the number of possible…

A: Explanation of the answer is as follows

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

A: Add Ax^6 to both sides.