In astronomy, distances to stars are measured in light years. One light year is the distance a ray of light travels in one year. If the speed of light is approximately 186,000 miles per second, estimate the number of miles in one light year.

Q: The diameter of each wheel of a bicycle is 26 inches. If you are traveling at a speed of 10 miles…

A: To find the number of revolutions per minute of turning wheel.

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: If you drive 117 miles and use 9 gallons of gas, what is your rate?

A:

Q: On a 130 mi trip, a car traveled at an average speed of 55 mph and thenreduced its speed to 40 mph…

A: Let ‘t’ be the number of hours for 55 mph and (2.5 – t) hours for 40 mph.

Q: If a car gets 30 miles per gallon of gas, how many gallons of gas are needed to travel 345 miles?

A:

Q: At 45 miles per hour, a trip takes 4 hours. How long does the trip take at 60 miles per hour.

A:

Q: If a fan does not catch the T-shirt, after how many seconds will the T-shirt hit the ground?

A:

Q: There are approximately 2 lbs of muscle for every 5 lbs of body weight of a certain animal. For a…

A: Solution: The objective is to find how much of the weight is a muscle

Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room…

A: Let us denote, A=the amount of paint needed P=perimeter H=height of the room Given that, the amount…

Q: A laptop computer consumes about 20 Watts of electricity per hour when operating. At 10 cents per…

A: Given: A laptop consumes electricity 20 watts / hour And the cost of electricity is 10 cents /…

Q: Find how long it takes a person to drive 201 miles on the highway if she merged into a highway at 11…

A: SOLUTION-

Q: The distance between two cities is 1700 km. How long will it take, in h, to drive from one city to…

A: given :-  distance  = 1700km speed      = 63mi/h                 = 63 X  1.609km/n

Q: A caterer estimates that 2 gallons of fruit punch will serve 5 people. How much additional punch is…

A:

Q: The top speed of a mosquito is 1.1 miles per hour. Convert the speed of the mosquito to 21. meters…

A:

Q: A grasshopper can jump 40 times its length. If jumping ability in humans​ (height) were…

A:

Q: The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100…

A: Given that  The ratio of the weight of an object on Planet A to the weight of the same object on…

Q: The amount of water used when taking a shower varies directly with the number of minutes the shower…

A: Given, A shower lasting 4 minutes uses 7 gallons of water. To find how much water is used in a…

Q: If you are going 379 miles what is that in kilometers? and if you can go the speed of 65mph, how…

A:

Q: If a car speed is 154 miles per hour, convert this speed to feet per second.

A: The objective is to convert 154 miles per hour into feet per second.

Q: if a car gets 26 kilometers per liter of gasoline,how many miles per gallon og gasoline would it…

A: We have to convert data.

Q: Suppose that 16 inches of wire costs 48 cents. At the same rate, how many Inches of wire can be…

A:

Q: A laptop uses 20 watts of electricity per hour when operating, At  10 cents per kilowatt hour, how…

A: Electricity consumption by laptop = 20 watt per hour total operating time = 5 hour So, total…

Q: If you drive 270 miles and use 10 gallons of gas, what is your rate of gas consumption?

A:

Q: If Autumn walks 5 miles in 90 minutes, then Autumn will walk how far in 120 minutes if she walks at…

A: Given Autumn walks 5 miles in 90 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: A motorboat leaves a harbor and travels at an average speed of 18 mph to an island. The average…

A: Let the island is x miles away from the harbor.  We will use the formula Time = distance / speed…

Q: If the speed of a plane is described as Mach 2.9​, what is its speed in meters per​ second?

A: We have to convert the speed of sound from mach to meters per second.

Q: A 25-foot pipe has been cut into two parts, one 4 times as long as the other. How long is each part?

A: Let x be the length of one part.Then the length of the other part is 4x, because one part is 4 times…

Q: As the average speed increases, what happens to the number of hours that it takes to bike the 20…

A: Average Speed = total distance travelled / total time taken

Q: The length of the tunnel is 460 miles. If 1 inch represents 60 miles, what is the length of the…

A:

Q: Suppose that 14 Inches of wire costs 70 cents. At the same rate, how many Inches of wire can be…

A: Given 14 inches wire costs 70 cents

Q: Each edge of a cube is decreased by 1 inch. If the volume of the smaller cube is 37 cubic inches…

A: Topic:- algebra

Q: The area of a projected picture on a movie screen varies directly as the square of the distance from…

A: Given that area of projected picture on a movie screen varies directly as the square of the distance…

Q: . Garrett can complete four laps around the track in 7 minutes and 45 seconds. How many full laps…

A:

Q: A boat that can travel fifteen miles per hour in still water can travel thirty-six miles downstream…

A: A boat that can travel fifteen miles per hour in still water can travel thirty-six miles downstream…

Q: If a train that was traveling at 80 kilometres per hour made just complete a 280 kilometre trip, how…

A: speed = 80 km/hr distance = 280 km time = distance / speed

Q: At an average speed of 56 km/h how far can you travel in 6 hours?

A: Given: Average speed=56 km/h To Find: Distance traveled in 6 hours

Q: The distance between two cities is roughly 446.0 miles. If a car gets 37.5 miles per gallon, and the…

A: To find the total cost of driving from one city to other 446 miles apart

Q: The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3…

A: Let the width= x inches So, the length= x+3 inches

Q: Just as a light-year is the distance that light can travel in 1 year, a light-week is the distance…

A:

Q: An airplane flies with a constant speed of 3а. 840 km/h. How long will it take to travel a distance…

A: In this question, concept of speed is used. Speed The rate at which an object travels a certain…

Q: If a lion can run at 30mph for 48 meters, how long can it maintain its top speed?

A: Given:A lion can run at 30mph for 48 meters.The formula relating the speed, distance and time is…

Q: After dieting for 30 days, Ignacio has lost 18 pounds. What number describes his average weight…

A:

Q: If you travelled 54 km at a speed of 720 miles per minute how long did it take to travel

A: The formula of speed is S=dt, where d is the distance and t is the time. First convert the given…

Q: If one meter is equal to 39.4 inches, how many centimeters are in one foot?

A:

Q: A ship is sailling at 5 knots (nautical miles per hourlon

A: Given, Speed of ship: Vs=5knots. Direction of ship: θ=000° speed of wind: Vw=4knots Direction of…

Q: A car is driving at 40 Kilometers per hour. How far, in meters, does it travel in 2 seconds?

A:

Q: A builder sells an 1,800 ft2 home for $117,000. What would be the price (in dollars) of a 2,600 ft2…

A: A builder sells an 1,800 ft2 home for $117,000. To find the price (in dollars) of a 2,600 ft2 home…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.