Currently, the two fastest trains in the world are both Chinese, the Shanghai Maglev and the Harmony CRH. The sum of their fastest speeds is 503 miles per hour. If the maximum speed of the Maglev is 31 miles per hour faster than the speed of the Harmony, find the speeds of each.

Q: If the speed limit is 65 miles per hour and a​ person's trip takes 2 hours at that​ speed, how much…

A: Speed of a person=65 miles per hour Time taken by a person to complete trip=2 hours We know that,…

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: The sum of two consecutive even integers is 26. What is the product of the two integers?

A:

Q: In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at…

A: Let cost of a sweater= $x and cost of a shirt= $y Given:  one sweater and five shirts cost $ 58.…

Q: Twice the sum of a number and 12 is 70. Find the number.

A: Let the number is x So, 2(x+12)=70

Q: The sum of two numbers is 2. If one number is subtracted from the other, their difference is 8. Find…

A: Let the numbers are x and y. Given x+y=2, and x-y=8

Q: If each of the 16 players on baseball squad plays for the same amount of time, How Many minute does…

A:

Q: The sum of a three times a number, x, and twice another number, y, is 71. The difference of x and y…

A: The sum of three times a number,x, and twice another number,y, is 71.The difference of x and y is 7.…

Q: Twice the sum of a number and 4 is the same as four times the number, decreased by 12. Find the…

A: We have to find the number where it is given that: Twice the sum of a number and 4 is the same as…

Q: The larger of two numbers is five more than the smaller number.  If the sum of the numbers is 59,…

A: Let the larger number be 'x' and the smaller number be 'y' According to question,…

Q: The sum of two numbers is 84, and one of them is 12 more than the other.  What are the two numbers?

A:

Q: A 48­foot­long piece of cable wire is to be cut into three pieces so that the second piece is five…

A: A 48­foot­long piece of cable wire is to be cut into three pieces,the second piece is five times…

Q: The sum of the speeds of two trains is 726.9 miles per hour. If the speed of the first train is…

A:

Q: The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74.…

A: Let the larger number is x. Since the larger number is 12 more than the smaller number. so the…

Q: Two trains are 324 miles apart, and their speeds differ by 16 mph. Find the speed of each train if…

A:

Q: A sum of $280 is to be used to award four prizes. If each prize after the first is $20 less than its…

A:

Q: The sum of two numbers is 11 and their difference is 5 . Find the numbers

A:

Q: Twice the sum of a number and 3 is the same as four times the number, decreased by 15. Find the…

A: To solve this problem, we frame an equation involving the unknown variable. Then, we solve for the…

Q: Two trains are 448 miles apart, and their speeds differ by 24 mph. Find the speed of each train if…

A:

Q: One number is six more than five times another number. If the sum of the numbers is 24, find the…

A:

Q: If the difference of a number and ten is doubled, the result is nine more than the number.

A: Let A be the number.

Q: The sum of the ages of two children is 16 years. Four years ago, the age of the older child was…

A:

Q: One number is seven less than four times another number. If their sum is 103. Find both numbers.

A: The given statement is

Q: In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at…

A:

Q: A 42​-inch board is to be cut into three pieces so that the second piece is twice as long as the…

A: Given that length of first piece = x Length of second piece = 2x Length of third piece = 3x

Q: In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at…

A: Answer-

Q: if the difference of a number and four is doubled, the result is a 4 less than the number.

A: Let, the number be n  Next, the difference of n & 4 is doubled, i.e. the result is, 2(n - 4)

Q: A 21­foot beam is to be cut into three pieces so that the second and the third piece are each 3…

A:

Q: The length of a rectangle is 3 inches longer than it is wide. If the area is 88 square inches, what…

A:

Q: Two​ bikers, Jose and​ Luis, start at the same point at the same time and travel in opposite…

A: Given,            Two​ bikers, Jose and​ Luis, start at the same point at the same time and travel…

Q: The sum of a two-digit number and the number obtained by reversing the order of digits is 99. If the…

A: The sum of a two-digit number and the number obtained by reversing the order of digits is 99. If the…

Q: The sum of two numbers is 28 and their difference is 4. What are the numbers?

A: Take two numbers are x and y.

Q: The quotient of a number and seven, added to 25 is the same as twice that number

A:

Q: A 24​-inch board is to be cut into three pieces so that the second piece is 3 times as long as the…

A:

Q: The sum of two numbers is 14.If the product of these numbers is 48,what are the numbers?

A:

Q: The sum of three times a first number and twice a second number is 8. If the second number is…

A: Let first number be x and second number be y. Now, given that sum of three times a first number and…

Q: Two cars leave Savannah, Georgia, at the same time and both travel north on Interstate 95. The first…

A: Given the first car’s speed is 40 mph and the second car’s speed is 50 mph. Let after t hours the…

Q: The sum of two numbers is 12 and their product is 35. What are the two numbers?

A: Given that, the sum of two numbers is 12 and product is 35.Let x and y denote the two numbers. That…

Q: Two cars head toward each other from opposite ends of a freeway 348 miles long. If the speed of the…

A: Let the distance travelled by first car be x at the melting point and the distance travelled by…

Q: Two vehicles head toward each other from opposite ends of a freeway 920 miles long. If the speed of…

A: We will solve this by two methods

Q: The sum of  a two digit numbers and the number obtained by receiving the order of its digits is 165…

A:

Q: After driving for 2.2 hours (2 hours and 12 mintues), Marcos' total distance traveled was 153 miles.…

A: The time is 5 minutes, that is 5/60 = 1/12 hr and the remaining distance is 2 miles.

Q: In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at…

A:

Q: If club members charge $3 admission to a classic car show, 1000 people will attend, and for each $1…

A: Let the price of the ticket be $3 let the increase in price is $x Therefore, Price of the show will…

Q: The sum of 2 times a number and twice its reciprocal is . Find the number(s).

A: To Determine: find the number  Given:  the sum of 2 times a number and twice its reciprocal is 203.…

Q: One number is seven more than six times another number. If the sum of the numbers is 21, find the…

A: Given : problem based on Linear Equation in Two variables      To find : Both variables

Q: Three of the richest comedians in the United States are Larry David (creator of Seinfeld), Matt…

A: Let Trey Parker worth is $x millions. Then Larry David worth=$x+450 millions Matt Groening…

Q: Sweaters sold at one fixed price and all shirts sold at another fixed price. If one sweater and 3…

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.