15. The sum of the squares of two consecutive integers is sixty-one. Find all such integers.

Q: 23.) A young couple decides to save 25% of all their income over $500 per week. If their income for…

A: Topic : basic maths

Q: 5. If a number plus 4 equals two times 6, what is the number?

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Q: Suppose a pencil length is equal to four toothpick lengths. (a) Draw a picture, write some…

A: a) 1 pencil length= 4 toothpicks length Then, a square pencil = 42 toothpicks ⇒4 pencil=16…

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Q: the largest of 81 consecutive integers is 327, what is the smallest

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Q: If 10 people can do a piece of work in 5 days, working 2 hours a day, how long will 2 people take to…

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Q: If the mean of an even number of consecutive integers is 0.5, what is the sum of the two middle…

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Q: In a two-digit number, the tens-digit is greater than the units-digit. The product of these two…

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Q: Q: The sum of a two digit number and the number obtained by reversing the order of its digits is…

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Q: The sum of 10 consecutive integers starting with 11, equals the sum of 5 consecutive integers,…

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A: Equation writing problem.....

Q: The sum of the digits of a 2-digit number is 10. If the number is divided by the units digit, the…

A: The sum of the digits of a 2-digit number is 10. If the number is divided by the units digit, the…

Q: 5. When the sum of an unknown number z and twenty-two is divided by the same unknown number, the…

A: (5)

Q: 1) The sum of three consecutive even integers is 768. Find the integers.

A: Solve to find the integers

Q: 5. The sum of a number fand 9 is equal to 38.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 4. The number (y) decreased by 9 is equal to 11. 5. The product of thrice a number (k) and 6 is 42.

A:

Q: 1. If the digits of a two-digit number are reversed, the number is increased by 36. The sum of the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Can the problem below modify into an ill-structured problem? Or is this problem already included…

A:

Q: 1 The product of two numbers is 9. If one number is 4-, what is the other number? 7. Express as a…

A: Given that the product of two numbers is 9 and one number is 417. Let x be the required number.

Q: 3) 5. 15 6. How many students are in the school gymnasium? 7. How many students can dance and do art…

A: "Since, you have asked a question with multiple subparts, we will solve the first three for you. If…

Q: 1. If 1 less than a number is divided by 5 less than twice the number, 21 the result is 39 What is…

A: Let the number be x

Q: Suppose that the ratio of males to females in the sales field of a large company is 4:5.   If there…

A: From the provided information, Ratio of males to females = 4:5 Therefore, there are 4x: 5x males to…

Q: 2. The sum of a two-digit number is 13. When 27 is added to the original number, the result is the…

A: Given that, Let number is xy, According to question, x+y = 13...........(1) and xy + 27 = yx or…

Q: 5.2 more than the product of seven and a number

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: In how many ways can 5 plus (+) signs and 6 minus (-) signs be written on a straight line?

A: If we place all '-' signs in a straight line first, there will be total 7 places for '+' signs so…

Q: 6. Suppose you have 105 blocks. You want to stack up all the blocks so that each row has one less…

A:

Q: 26. The sum of the digits of a two-digit number is 11. If 45 is added to the number, the result is…

A:

Q: 5. The sum of a number and its square is 72.

A: 5).     let the number is x and it's square is

Q: If the mean of an odd number of consecutive integers is zero, what is the sum of the three middle…

A: It has been provided that the mean of an odd number of consecutive integers is zero.

Q: 4. The sum of two consecutive even integers is less than 55 but greater than 21. Find at least 3…

A: Given that the sum of two consecutive even integers is less than 55 but greater than 21. We have to…

Q: The mean of a set of ninety numbers is 47. One-third of the numbers are increased by six. What is…

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Q: There are 10 questions on a discrete mathematics final exam. How many ways are there to assign…

A: Given: n = 10 (The number of questions) Each question is worth at least 5 points. 10 questions = 10…

Q: 20) Show that the sum of two consecutive integers is always odd.

A: Let x be any integer. Then its consecutive integer can be written as x+1.

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: 4. A traffic accident witness said that the license plate number contains the letters RLH, followed…

A: Given,The license plate number contains the lettersRLH , follwed by 3 digits and the 1st digit being…

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

A:

Q: 5) A farmer has enough feeds for 144 ducks for 14 days. If he sells 32 of his ducks, how long will…

A: Given that a farmer has enough feeds for 144 ducks for 14 days. Now he sells 32 ducks, So now ,…

Q: 3. Four short-order cooks can make 24 omelets in 10 minutes. if a diner gets a to-go order for 90…

A: Let the number of cooks= C number of omelets = N Time= T N is proportional to C and T. So, N=kCT…

Q: 2. Write as the sum/difference of logs. Express powers as factors. (r+2)71 In LyVz-5

A: Givenlnx+27yz-5To wrtite the sum/difference of log Formula:ln ab=ln a -ln bln ab=ln a + ln bln ak=k…

Q: The monthly electricity bill for a household is calculated by adding a fixed charge of…

A: Given info: The monthly electricity bill for a household is calculated by adding a fixed charge of…

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

A:

Q: 1) The sum of four consecutive integers is 462. Find the integers.

A: GIVEN: The sum of 4 consecutive integers is 462

Q: Customers of a phone company can choose between two service plans for long distance calls. The first…

A:

Q: What is the product of 19 and the sum of 13 and k?

A: Given,            The product of 19 and the sum of 13 and k.We know that,           The symbol of…

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: An athlete runs 2 kms. on Day 1, he ran 3600 yds, on Day 2 and 15000 feet on Day 3. How many meters…

A: Solution

Q: 5. If the sum of the squares of two sides of a triangle equals the square of the third side, then…

A:

Q: 9. If there are 150 students to be deployed for a Work Immersion Program. and the ratio of the…

A: Topic - ratio Number of immersion partners =30