A student walks and jogs to college each day. The student averages 5 km/hr walking and 9 km/hr jogging. The distance from home to college is 8 km, and the student makes the trip in one hour. How far does the student jog?

Q: A rectangular piece of land whose length its twice its width has a diagonal distance of 64 yards.…

A: Let the width= x yards so the length =2x yards then we use the Pythagorean theorem

Q: A flagpole casts a shadow that is 50 feet long. At the same time, a woman standing nearby who is…

A:

Q: The length of a rectangle is six times Its width. If the perimeter of the rectangle Is 112 yd, find…

A: l= length of rectangle b= width of rectangle perimeter or rectangle = 2(l+b) perimeter of rectangle…

Q: The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 cm, find…

A: We can find the answer as below

Q: The president of a company traveled 1700 mi by jet and 300 mi on a prop plane. The rate of the jet…

A: Here, the rate of the jet and prop plane is the speed. Therefore, the speed of jet = 3 times the…

Q: The first side of a triangle is 2 inches shorter than the second side. The third side is 5 inches…

A: Triangle sides

Q: The length of a new rectangular playing field is 3 yards longer than double the width. If the…

A:

Q: A loaded Roadway truck is moving 40 mph faster than a New York Railways freight train. In the time…

A:

Q: A rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is…

A:

Q: The president of a company traveled 2000 mi by jet and 400 mi on a prop plane. The rate of the jet…

A: Consider the given information

Q: A cyclist rode the first 44​-mile portion of his workout at a constant speed. For the 32-mile…

A: Let s be the speed of the cyclist for the first 44 miles. Then(s-3) be the speed of the cyclist for…

Q: The riverboat Alert takes six hours to travel 180 km upstream but only four hours to return. Find…

A: In this distance and time for upstream and downstream is given by using distance formula calculate…

Q: The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 70 m,…

A:

Q: The perimeter of a parallelogram is 50 cm. The length of the parallelogram is 5 cm more than the…

A:

Q: A boat traveled 84 kilometers each way downstream and back. The trip downstream took 4 hours. The…

A:

Q: A lawyer drives from her home, located 15 miles east and 28 miles north of the town courthouse, to…

A: A lawyer drives from her home, located 15 miles east and 28 miles north of the town courthouse, to…

Q: An architect is allowed 15 square yards of floor space to add a small bedroom to a house. Because of…

A: Let x = length In question, we are given width, w = 2x - 7 Area of any rectangular shape =…

Q: The length of a rectangle is twice its width. If the perimeter is 72 meter, find the length and…

A: In this question we have to find the length and width of the rectangle.

Q: A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from…

A: We can find the answer as below using the Pythagoras theorem

Q: The perimeter of a triangle is 91 centimeters. If two sides are equally long and the third side is…

A:

Q: As part of flight traning, a student pilot was required to fly to an airport andthen return. The…

A: Let d be the distance between two airports.

Q: a scooter is going 3/4 of a mile every 4 minutes. how far does the scooter go in the following…

A: To find the distance covered in 17 and 12 minutes.

Q: The total race is 3.1 miles. How far apart are the two checkpoints?

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

Q: You plan to build a path along one diagonal of a 100ft-by 100ft square garden. To the nearest foot,…

A:

Q: A jet plane travels 2 times the speed of a commercial airplane. The distance between Vancouver and…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: he base of a triangle is 5 times the height. If the area is 490 square feet, then what is the height…

A:

Q: Two cars leave a city and head in the same direction. After 5 hours, the faster car is 35 miles…

A:

Q: A plane flies 435 miles with the wind and 345 miles against the wind in the same length of time. If…

A: Given,  Distance travelled by the plane=435 miles Speed of the wind=15 mph

Q: The perimeter of an equilateral triangle is 7 inches more than the perimeter of a square, and the…

A:

Q: A plane flies 425 miles with the wind and 350 miles against the wind in the same length of time. If…

A: The speed of the plane is 155 mph Condition 1 :- With the wind, 2.5 ( 155+15) = 2.5 * 170 = 425…

Q: A boy has to cover 4km to catch a bus. He travels part of the distance at 3km/h and runs the rest at…

A: Given that, Distance covered to catch a bus = 4 km Speed of walking = 3 km/hr Speed of running = 5…

Q: Two planes leave the same airport and travel in opposite directions. Their speeds are 150 miles per…

A: Given that two planes leave the same airport and travel in opposite direction. Their speeds are 150…

Q: A pilot left an airport and traveled 130 miles eastward when she spotted a UFO directly in her path.…

A: Hypotenuse square is equal to sum of squares of other two sides in a right triangle. Let us make a…

Q: A motorboat goes downstream in the river and covers the distance between two coastal town in 3…

A: Let the speed of the boat= x km/hour and the distance between two coastal towns is= s km  So the…

Q: George can complete a project in 75 minutes, and if George and Walter both work on the project, they…

A: It is given that George can complete a project in 75 minutes. So, the George's rate of completion is…

Q: The perimeter of a triangle is 94 centimeters. If two sides are equally long and the third side is…

A: Given that Perimeter of triangle is 94 cmtwo sides are equal and third side is 10 cm longer that the…

Q: The perimeter of a square is 36 inches. Find the length of a diagonal. Round your answer to the…

A: This question can be solved using the concept of properties of square.

Q: A ribbon 56 centimeters long is cut into two pieces. One of the pieces is three times longer than…

A: Given:A ribbon 56 cm long is cut into two pieces.one of the pieces is three times longer thanthe…

Q: The distance between two cities is 144km, it takes me 3hours to travel between these cities. What…

A: Given that distance d=144 km and time taken, t=3 hrs. It is known that speed=distancetime.

Q: The distance that Brad travels varies directly with the time spent traveling. Brad traveled 660…

A: Given,         The distance that Brad travels varies directly with the time spent traveling. Brad…

Q: A board of length (3x* + 9x - 6) meters is to be cut into three pieces of the same length. Find the…

A:

Q: The deck of a destroyer is 100 feet above sea level. How far can a person see from the deck? How far…

A: To find: The distance from which a person can see from the deck. Given information: The deck of a…

Q: A person who is 5 feet tall is standing 90 feet from the base of a tree, and the tree cast a 100…

A: According to the question, Height of the person = 5 feet The tree cast shadow of length = 100 foot…

Q: A rectangular piece of land whose length is twice it’s width has a diagonal distance of 75 yards.…

A: Let the width be x . Hence, the length is 2x . The diagram depicting this scenario can be presented…

Q: A model of an train is created, where 3 inches is equal to 12 feet. The actual train is 138 feet…

A: Given, A model of a train is created as 3 inches is equal to 12 feet and the actual train is 138…

Q: The length of a rectangle is three times its width. If the perimeter of the rectangle is 56 cm, find…

A:

Q: A student drives 15 miles west from home and then 30 miles north to go to work. How much shorter…

A:

Q: Please help with this one

A: Fran can rent a van for either $75 per day with unlimited mileage or $60 per day with 150 free miles…

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.