From a train station, one train heads north and another heads east. Some time later, the northbound train has traveled 40 miles. If the two trains separated by a straight-line distance of 58 miles, how far has the eastbound train traveled? miles

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 field is 105 yards long from end to end and 108 feet wide. If a person runs diagonally across the…

A: Given:The length of the field is 105 yards and width is 108 feet.It is known that,1yard = 3…

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

A: relation is as below :

Q: The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains…

A: Isosceles triangle Given -   y=2x+40 ⇒ y-2x=40   — (i) We know, sum of interior angles of triangle…

Q: man rode a bicycle for 12 mi and then hiked an additional 8 mi. The total time for the trip was 5…

A:

Q: Maria and Ming start at the same point and drive in opposite directions.Maria drives 60 mph and Ming…

A: Given, Maria and Ming start at the same point and drive in opposite directions  Maria drives 60 mph…

Q: if angle 1 and angle 2 form a linear pair and angle 1 is 18 degrees less than five times the measure…

A:

Q: desk. Together, their height is 6.75 feet. The difference between their heights is 1.85 feet. How…

A:

Q: As you leave​ Clark, the sign says Lutherville 90 ​miles, Otisburg 170 miles. If the Planet Diner is…

A: From Clark, Lutherville is 90 miles, Otisburg is 170 miles.   The planet diner is half way between…

Q: If a car travels at 60 miles per hour for 8 hours. how far will the car travel? (A) 400 miles (B)…

A: Given:-speed of the car=60 miles/hourtime taken to travel  by the car=8 hours

Q: The sum of the distances two hikers walked is 53 mi, and the difference 25 Mi. What are the…

A:

Q: In a​ triangle, the measure of the first angle is three times the measure of the second angle. The…

A: let measure of angle of triangle are ∠x , ∠ y , ∠z respectively. so,              ∠x +∠ y +∠z =180°

Q: The size of a television screen refers to the length of its diagonal. If the length of an HDTV…

A: Given the length of TV screen=28 inches. Width of the TV screen=15.7 inches. The size of TV screen…

Q: Students at college have worn a path that cuts diagonally across the campus "quad." If the quad is a…

A: A rectangle has four sides and the angle between two sides is right angle. Two pairs of opposite…

Q: In one city, taxi company A charges $5 plus $0.35/km travelled. Taxi company B charges $3.50 plus…

A:

Q: A truck and a van leave the same location at the same time and travel in opposite directions. The…

A: Given : A truck and a van leave the same location at the same time and travel in opposite…

Q: A rectangular piece of land whose length is twice it’s width has a diagonal distance of 96 yards.…

A: A rectangular piece of land whose length is twice its width has a diagonal distance of 96 yards.

Q: . The three sides of a triangle must add up to a number less than or equal to 65 inches. One side is…

A:

Q: In a certain triangle, the measure of angle A is three times as big as the measure of angle C and…

A: Given that  Certain triangle has  Angle A is three times big as the measure of angle C. Angle B is…

Q: The distance around a triangle is 28 centimeters. If two sides are equal and the length of the third…

A: Find the solution below

Q: Find the two numbers, if the sum of two numbers is 24. The difference of the two numbers is 2

A: Let the two numbers be x and y such that x > y.

Q: The measure of an angle in a triangle is 10° smaller than the largest angle and twice as large as…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: The distance around a triangle is 24 centimeters. If two sides are equal and the length of the third…

A:

Q: As you leave Clark, the sign says Lutherville 90 miles, Otisburg 190 miles. If the planet diner is…

A:

Q: As you leave​ bakery, the sign says LA ​150 miles, OT 190 miles. If the Planet Diner is halfway…

A: OT and LA may be situated in same side of bakery or in opposite side....so I have discussed both…

Q: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure…

A: We can solve this as follows:

Q: The distance around a triangle is 42 centimeters. If two sides are equal and the length of the third…

A: Given that, the perimeter of a triangle is 42 centimeters. It is known that, perimeter of a triangle…

Q: The sum of the ages of Alice, Barbie, and Cindy is 44. Alice is three times older than Cindy. Barbie…

A: Sum of age of Alice, Barbie and Cindy= 44 Alice age = 3 times the age of Cindy Barbie's age = Age of…

Q: The length of a rectangle is three more than its width. If the perimeter is 46 feet, what are the…

A: Let the width of the rectangle be x. Thus, the length is (x+3). The perimeter of the rectangle is 46…

Q: When two pieces of rope are placed end to end, their combined length is 120 feet. When pieces are…

A:

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: how far is it from Clark?

A:

Q: Two runners, one averaging 8 miles per hour and the other 6 miles per hour, start at the same place…

A: Consider the given information. Make the table for the given information.   distance  rate…

Q: The road from Aubrey to Bandaloot runs straight east and west for 55 miles. The road from Aubrey to…

A: Given that:- The road from Aubrey to Bandaloot runs straight east and west for = 55 miles.  The Road…

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

A:

Q: Two cars start from the same point and travel in the same direction. If one car is traveling 58…

A:

Q: A certain number is 4 less than another number. If the sum of the two numbers is 48, what are the…

A:

Q: From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at…

A:

Q: In the 1970s, due to world events, there was a gasoline shortage in the United States.  If there…

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 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: As you leave​ Clark, the sign says Lutherville 90 ​miles, Otisburg 120 miles. If the Planet Diner is…

A:

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

A:

Q: The perimeter of a rectangle is 70, and its diagonal is 25. Find its length and width.

A: given ,             perimeter of rectangle=70    and its diagonal =25

Q: In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6.…

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.