Two cars leave towns 600 kilometers apart at the same time and travel toward each other. One cars rate is 12 kilometers per hour less than the others. If they meet in 4 hours, what is the rate of the slower car? Do not do any roundin

Q: The Bartlett family is taking a road trip to Yellowstone National Park! Yesterday, they drove a…

A:

Q: 8. The sum of half of a number and 49 is 2 늘 of the 4. number. Find the number.

A: The sum of half of a number & 49 is 214 of the number.

Q: A shopkeeper sells a saree at 8% profit and the sweater at 10% discount, thereby, getting a sum of…

A: Let x be the cost of the saree in rupees and y be the list price of the sweater in rupees.

Q: Two trains leave stations 494 miles apart at the same time and travel toward each other. One train…

A:

Q: Mia's telephone number is composed of 7 digits. The first digit is 3 and 1 more than the second and…

A: We have to calculate Mia's telephone number.

Q: A Chevy Cruze Eco costs $10.36 per100 miles to drive, while a conventional Chevy cost $6.63 per 100…

A: Topic:- algebra

Q: Two trains leave stations 288 miles apart at the same time and travel toward each other. One train…

A: Let, it takes x hours for the two trains to meet. One train travels at 80 miles per hour. So, in x…

Q: Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's…

A:

Q: Two trains leave the station at the same time, one heading west and the other east. The westbound…

A: We will solve the problem

Q: Two trains leave the station at the same time, one heading east and the other west. The eastbound…

A: Relative speed concepts.,...speed add up when two travel just opposite direction.  Thanks

Q: The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: The sum of two numbers is 1.  What is the smallest possible value of the sum of their squares?

A: Let x be one number, Then other number is 1-x

Q: Two airplanes leave an airport at the same​ time, one going northwest​ (N 35°​W) at 404 mph and the…

A:

Q: Two trains leave stations 252 miles apart at the same time and travel toward each other. One train…

A: Please refer the attached image for complete solution.Given : Two trains toward each other one with…

Q: A sum of $700 is to be used to give seven cash prizes to students of a school for their overall…

A:

Q: Two​ joggers, one averaging 7 mph and one averaging 5 ​mph, start from a designated initial point.…

A: Calculation:Time = Distance / Speed

Q: The second side of a triangular deck is 4 feet longer than the shortest​ side, and the third side is…

A: Let The shorter side =a2nd side=4+aThid side=2a-4and given perimeter=72

Q: A 30-foot piece of siding is cut into three pieces so that the second piece is four times as long as…

A:

Q: The sum of Amal’s age and her mother’s age is 38. After 5 years Amal’s age will be half of her…

A:

Q: Keshad gets paid $2400 per month plus 6% of his sales. His brother earns $3300 per month. For what…

A:

Q: The sum of the first n terms of a GP is 189. If the first term and the second term of the GP are 3…

A:

Q: Two cars start from the same point, at 9:15 AM, traveling in opposite directions at 40 and 50 mph,…

A: given  when 315 miles apart    B←50MPH→40MPHA

Q: The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the…

A:

Q: Two trains leave stations 364 miles apart at the same time and travel toward each other. One train…

A: When two trains moves forward , total distance covered by them will be the distance between the…

Q: math instructor prepared a test consisting of 50 problems worth 2 points, 5 points, and 10 points…

A: A math instructor prepared a test consisting of 50 problems worth 2 points, 5 points, and 10 points…

Q: Two trains leave stations 364 miles apart at the same time and travel toward each other. One train…

A: 364/(75+55)= 364/130= 2.8 hours

Q: A lizard is at the bottom of a 17​-footwell. Each day it crawls up 3 ​feet, but each night it slips…

A: 17 foot well  Crawls up              3 ft  Slips back               1 ft Considering trial…

Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: To find the numbers when we have the given condition :-

Q: Two trains leave stations 476 miles apart at the same time and travel toward each other. One train…

A:

Q: 3. The sum of Amal's age and her mother's age is 38. After 5 years Amal's age will be half of her…

A:

Q: One integer is 5 more than another integer. The sum of their squares is 233. What are the integers?

A: We are given with some conditions which can be used to find the numbers by finding the equations

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

A: The length of the board is 24-inch. It is given that the board is cut into three pieces. Let x, y…

Q: A woman is twice as old as her daughter. Twenty years ago, she was four times as old as her…

A: The objective of the question is determine the age of the woman and her daughter.

Q: Suppose your car averages 32 miles per gallon on the highway if your average speed is 60 miles per…

A: Given Data The average speed of the car for mileage m=32 miles per gallon is s1=60 miles per hour.…

Q: 2. The sum of two numbers is 139. The smaller number is one less than one-third of the biggers…

A: Since you have posted multiple questions in this question i can do first question as per our company…

Q: The sum of the digits of a three-digit number is 12. When the hundreds and tens digits are…

A:

Q: Cheen is now five times as old as Monokuma was 5 years ago. If the sum of Monokuma’s and Cheen’s…

A: topic - linear equation in two variables

Q: 48​-inch board is to be cut into three pieces so that the second piece is twice as long as the first…

A: Solution of the problem as follows

Q: What 3-digit number am I if the digit in my tens place is five more than the digit in my ones place…

A:

Q: The price of a dress is reduced by 20% when the dress still does not sell ,price was then reduced By…

A: Step 1: Let x be the original price of the dress. Step 2: There are no other unknown quantities.…

Q: If two pads of paper and 19 pens are sold for $5.40 and 7 of the same pads and 4 of the same pens…

A: If 2 pads of paper and 19 pens are sold for $5.40   7 of the same pads and 4 of the same pens sell…

Q: A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive…

A: The bounces of the ball represents a geometric sequence with First term=a=7Common ratio=r=67100=0.67

Q: In a musical contest with 15 competitors, there are two prices: best singer and best composition.…

A: From the given information, there is a musical contest with 15 competitors and three are 2 prices.…

Q: Two trains leave stations  396  miles apart at the same time and travel toward each other. One…

A: Distance between the two train d = 396 milesCombined speed of the two trains S = 85 + 95…

Q: The distance on a map between two locations is 2.25 inches. If 1 inch = 24 miles, what is the…

A: Simple multiplication problem.....

Q: 12 inches minus the length of one of the sides equals the length of the other side. The sum of the…

A:

Q: Sam and Cat both drive cars starting from the same point. Sam drives north, and travels 50  miles in…

A:

Q: Two trains leave stations 238 miles apart at the same time and travel toward each other. One train…

A: Here I am attaching image so that you understand each and every step.

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

A: Let the number of minutes be x.

Q: A total of $12,000 was invested in two types of bonds. One pays 8% simple interest while the other…

A: total interest earned should be $1145 because at 8 % it exceeds 1.145 which seems a mistake.

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.