A motorcycle travels 2 kilometers per hour faster than a car. The motorcycle traveled 480km in two hours less than the time it took the car to travel the same distance. How fast does the motorcycle travel? The sum of two positive integers is 16, and their product is 60. What are the integers?

Q: Find 3 consecutive  odd integers such that 4 times the third  is 35 more than the first

A:

Q: integers

A:

Q: Find three consecutive integers such that the sum of twice the first and three times the second is 7…

A: We have to find the value of three consecutive integers for given condition.

Q: The product of the squares of a number and two more than a number is 225. Find all possible values…

A: Let the number be n According to the question, n2(n+2)2=225 ⇒n(n+2)=±225⇒n(n+2)=±15 Case 1 : When…

Q: The sum of two integers is 144. If their quotient is (7/5) , find the two integers.

A: Let the required numbers be x and y. It is given that the sum of the numbers is 144. x+y=144…

Q: In 2017, two parks in the US had visitors (in the millions) that happened to be two consecutive…

A: Form an equation using , Product = 551 + Sum

Q: The number of counties in California and the number ofcounties in Montana is consecutive even…

A: Given: The number of countries in California and the number of countries inMontana is consecutive…

Q: The product of two consecutive even whole numbers is 120. The two integers are and

A:

Q: A truck-driver delivered a load from Shinas to Muscat, a distance of 264 Km, and then returned to…

A:

Q: Find three consecutive odd integers such that the sum of twice the first and three times a second is…

A: Just I have used the given statement and easily find the required solution. 7 , 9 and 11 are the…

Q: The sum of the reciprocals of two consecutive positive even integers is 11/60. Find the two even…

A:

Q: The sum of three consecutive odd integers is 255. What are the integers?

A: Given that: Sum of three consecutive odd integers is 255.

Q: The sum of the squares of 4 consecutive integers is an even integer.

A:

Q: An author works on a new book and after writing a few chapters, begins a new plan to write 600 words…

A:

Q: 3) The sum of three consecutive even integers is 48. Find the integers

A:

Q: When a number is multiplied by 4 before subtracting from 68, the result obțained is the same as…

A: First of all assume the number to be x and as it is given in the question that 4 is multiplied with…

Q: Find two consecutive even integers if one-third of the  smaller is equal to the one-fourth of the…

A:

Q: The sum of three consecutive even integers is -294.what is the largest integer?

A: Since, sum of three consecutive even integers is -294, Then our aim is to tell the largest integer.

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: If the smallest of three consecutive integers is added to twice the largest, the result is 73. What…

A:

Q: Find 3 consecutive odd integers such that 3 times the third is 26 more than the first

A: We have to find numbers

Q: Find two consecutive integers such that three times the larger is the same as 47 more than the…

A:

Q: a FIND FOUR CONSEeuTIVE ODD INTEGERS WHOSE SuM IS 4,968. b) IF EIGHT TIMES A CERTAIN NUMBER IS…

A: Given: a) four consecutive odd numbers whose sum is 9968 b)If 8 times a certain number is increased…

Q: The sum of two consecutive integers is 5,386. What are the integers?

A: Consider the first integer be "x". Then the  second consecutive integers is "x+1". The sum of two…

Q: Find a pair of numbers whose sum and product are both equal to 8.

A:

Q: Solve for æ. (11x- 5)° (4x + 29)° 67 (9х — 15)° 61° (6x + 13)°

A:

Q: find three consecutive even integers such that the sum of twice the first and three times the second…

A:

Q: The difference between two positive integers is 5. if the reciprocal of the smaller integer is added…

A: Given,      Differnce between two positive integer is 5Let two positive integer be x&y x-y=5…

Q: One integer is four times another. The sum of the integers is 5. What isthe value of the lesser…

A:

Q: The sum of three times a greater integer and 5 times a lesser integer is 9. Three less than the…

A: Let the lesser integer be x and greater integer be y. It is given that the sum of three times a…

Q: 11. The product of two consecutive integers is 210. Find the numbers.

A:

Q: If the product of five consecutive even integers is equal to one of the integers,what is the largest…

A: Let a, b, c, d, e be five consecutive even integers.It is given that product of five consecutive…

Q: Find the larger of two numbers if their sum is 190 and the smaller number is 3/7 of the larger…

A: We need to find the larger of two numbers if their sum is 190 and the smaller number is 3/7 of the…

Q: Find two consecutive positive integers , sum of whose squares is 365

A: Given  Two consecutive positive integers , sum of whose squares is 365   Let x be one integer then…

Q: The sum of three consecutive odd integers is 273. What is the smallest integers?

A:

Q: Find the two consecutive odd positive integers sum of whose squares is 290

A:

Q: A video cassette tape has a running time of 2 hours while at standard speed, 5 hours while at…

A: At standard speed, the running time is 2 hours. At long-play speed, the running time is 5 hours. At…

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: Find two consecutive odd integers such that when three times the smaller is added to twice the…

A:

Q: Suppose a student got an 82 on an exam that was worth 25% of the final grade, a 75 on another exam…

A: Given data: Category Weight Score Exam 1 25% 82 Exam 2 25% 75 Homework…

Q: The product of two consecutive positive odd integers is 399. The two integers are and Enter the…

A:

Q: The sum of three consecutive integers is 168. What are the​ integers?

A:

Q: Find three consecutive integers such that four times the square of the third, minus three times the…

A: Three consecutive numbers n, n+1, n+2

Q: The product of two consecutive negative integers is 600. What is the value of the lesser integer?

A: Consider two consecutive negative integer be -n and -(n+1), where n>0.

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

A: let two integeres are X and Y  product is X*Y = 48 sum X+ Y = 14 detailed solution is given below

Q: 5) The sum of the squares of two consecutive even integers is 340. Find the integers.

A:

Q: find two consecutive even integers if the sum of their squares is 164

A:

Q: If Anna and Tamera drive 5x - 5 hours over the four days and the plan to travel 4.5 hours each day…

A:

Q: 8. If 2 is subtracted from four times a number, the result is four more than six times the number.…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.