A car traveling at 56 mph overtakes a cyclist who, riding at 14 mph, has hada 3 h head start. How far from the starting point does the car overtake the cyclist?

Q: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 2­hour…

A: Given: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a…

Q: An airplane that travels 550mph in still air encounters a 50 mph headwind. How long will it take the…

A: ///  Given that, An airplane travels 550 mph            in still airplane encounters a 50 mph head…

Q: A space plane skims the edge of space at 4000 miles per hour. Neglecting​ altitude, if the…

A: step 2 complete solution

Q: An 18-foot ladder is leaning against a tree. If the base of the ladder is 7 feet from the tree, how…

A:

Q: the blimp is 400 m. What is the line-of-sight distance from the television camera

A:

Q: A garden plot is to contain 200 sq. ft. if the lengths is to be twice its width, what should its…

A:

Q: In an American Collegiate basketball court, the free-throw line is 12 ft wide. In FIBA competition…

A:

Q: A ship left shore and sailed 240 km east, turned due north, then sailed another 70 km. How many km…

A:

Q: A candy distrubator needs to mix a 20% fat-content chocolate with a 50% fat-content chocolate to…

A: Given- 20% fat-content chocolate needs to mix with a 50% fat-content chocolate to create 100…

Q: A large aircraft is approximately 278 feet long and has a wingspan of 209 feet. If a scale model of…

A:

Q: To reach the top window of a burning building that is 12 feet high, the fireman leans a 15-foot…

A:

Q: To wash a window that is 15 feet off the ground, Lester leans a 17-foot ladder against the side of…

A: Given: The height to reach the window = 15 ft and the length of the ladder = 17 ft

Q: If the resistance of a certain wire is 4.068 ohms per 1000, what is the length of a piece of this…

A: As resistance is directly proportional to length,  so, R=kL put R= 4.068 and L=1000

Q: Calculate the height that we can reach with a 3m ladder leaning against a wall if the bottom of the…

A: First we consider a triangle ABC, in which the height of AB = a, BC = 3m and AC = 7 cm So, the…

Q: A pilot flew a jet from City A to City B, a distance of 2500 mi. On the return trip, the average…

A:

Q: How far from the base of the house do you need to place a 15 feet ladder so that it exactly reaches…

A: We use Pythagoras theorem.

Q: how far is 50% of an 8000 mile flight

A: We need to find 50% of an 8000 mile flight.

Q: A stunt driver was needed at the production site of a Hollywood movie. The average speed of the…

A: Let d be the one way distance in miles Then time taken by the the stunt driver to flight to the site…

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

A:

Q: It took a crew 1 h 50 min to row 8 km upstream and back again. If the rate of flow of the stream was…

A: Given, It took a crew 1 h 50 min(=110 min) to row 8 km upstream and back again and the rate of flow…

Q: A ladder that is 5 feet long is resting against the top of a wall that is 4 feet high. How far away…

A:

Q: The diameter of a bicycle is 26 inches. If you are travelling at a speed of 35 miles per hour on the…

A: The diameter of the bicycle is 26 inches. The speed is 35 miles per hour. It is known that, 1…

Q: A student needs to run 3.2 km to get to school. If the student can run 5.5 mi/hr, how many hours…

A: Given that a student needs to run 3.2 km to get to school. The speed of the student is 5.5 mi/hr The…

Q: Two automobiles started at the same time from a point, but traveled inopposite directions. Their…

A:

Q: How far will a car skid at 60 mph? at 100 mph?

A: To find How far will a car skid at 60 mph and 10 mph.

Q: A vertical pole is to be supported by a wire that is 26 feet long and anchored 24 feet from the base…

A: Given that: A vertical pole is to be supported by a wire that is 26 feet long and anchored 24 feet…

Q: Find two supplementary angles such that the measure of the first angle is 30° less than five times…

A: Two angles are known as supplementary if the addition of their measures is 180 degrees.

Q: If the size of the cake is equal to one, what is the area and thickness?

A: Here we should assume the shape of the cake since it is not given. Here size we will take in the…

Q: a bottle that is 50cm tall hold than one that's 20cm tall

A: The two bottle having length 50 cm and 20cm and both the bottle have similar in geometrical figure.…

Q: A jet plane traveling at 550 mph overtakes a propeller plane traveling at 200 mph that had a 2​-hour…

A: Given data: The speed of the jet plane is J=550 mph. The speed of the propeller plane is P=200 mph.…

Q: If x units are added to the length of the radius of a circle, what is the number of units by which…

A: Given x units are added to the length of radius of circleLets assume that length of radius of a…

Q: The actual distance between North Chicago and Waukegan is 4 mi. What is the distance between these…

A: Given : The distance between North Chicago and Waukegan is 4 mi. On the map 1 in represents 18 mi.

Q: The ramp must be feet longer.

A:

Q: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 4-hour…

A: Let the travelling time for a propeller plane be t, speed  is 200 mph, distance travelled by…

Q: Beaumont, Texas, is about 150 miles from Toledo Bend. If Leo Miller leaves Beaumont at 4 a.m. and…

A: Consider that Beaumont, Texas is at a distance of 150 miles from Toledo Bend. Leo Miller leaves…

Q: The foot of a ladder is 2 m from a wall and the top of the ladder is 6 m above the ground. Calculate…

A: Given Information -  Distance between foot of the ladder and the wall = 2m The vertical distance…

Q: A ball is dropped from a height of 48 ft and rebounds two-thirds of the distance it falls. If it…

A: A ball is dropped from a height of 48 ft and rebounds two-thirdsof the distance it falls. it will…

Q: A space plane skims the edge of space at 4000 miles per hour. Neglecting​ altitude, if the…

A:

Q: William is building a gazebo and wants to brace each corner by placing a 12-inch wooden bracket…

A: Pythagoras theorem states that the sum of square of base and square of perpendicular is equal to the…

Q: a car is traveling at a speed of 65 mi/h. how long does it take to cover a distance of 235 m

A:

Q: A 60 foot ladder needs to reach a window that is 47 feet off the grounf. How far away, to the…

A:

Q: The length and width of a rectangle are measured as 40 cm and 30 cm, respectively, with an error in…

A:

Q: . The diameter of a bicycle is 26 inches. If you are travelling at a speed of 35 miles per hour on…

A: Topic = Algebra

Q: A 20-foot ladder is 15 feet from a house. How far up the house, to the nearest tenth of a foot, does…

A: Given: A 20 foot ladder is placed on the house and its bottom point is at a distance of 20 feet from…

Q: 1. The diagonal of Andre's rectangular TV screen is 39 inches. The width of his TV screen is 34…

A:

Q: If you had a 15 foot ladder, How far away from the base of a wall would you have to put it to reach…

A: Q) If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to…

Q: a 20 food ladder is leaning against a vertical wall. if the foot of the ladder is 8 feet from the…

A: Consider the provided information,

Q: A 26 foot long ladder is leaning up against a house. If the ladder reaches a window that is 24 feet…

A: A ladder of length 26ft is leaning against a wall and it reaches a window that is 24 ft from the…

Q: A man in a rowboat at P, 5 miles from the nearest point A on a straight shore, wishes to reach to a…

A: Given: A man in a rowboat at P, 5 miles from the nearest point A on a straight shore,wishes to reach…

Q: A flagpole is secured on opposite sides by two guy wires, each of which is 5 ft longer than the…

A: Let the height of the flagpole be x ft. Then the given data can be shown in the following…

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.