Recall that a mile is equal to 1.6093 kilometers. If a runner can maintain an average pace of400 meters every 127 seconds, how many hours will it take the runner to complete ahalf-marathon, which is a 13.1-mile race?

Q: 40 is 500% of what number?

A:

Q: The Iditarod sled dog race extends 1049 miles from Anchorage to Nome. If a musher is three times as…

A: Given,         The Iditarod sled dog race extends 1049 miles from Anchorage to Nome. A musher…

Q: A spacecraft is traveling from one planet to another with a distance traveled of 268,000 miles. If…

A: Given - A spacecraft is traveling from one planet to another with a distance traveled of 268,000…

Q: A piece of charcoal found at Stonehenge contained 63% of the level of 14C found in living trees.…

A: Since, we have been given that a piece of charcoal contains 63% ofthe level C14 found in living…

Q: A recent advertisement claimed that 2 out of every 3 doctors recommended a certain herbal supplement…

A:

Q: Ghana currently have 294 followers on Tiktok : i. If her followers increased 5% every day. How many…

A:

Q: (2) Assume that the number of mosquitoes around Lake Kainji doubles every century. How long will it…

A:

Q: The population of a city has decreased by 32% since it was last measured. If the current population…

A: From the information, Let x denote the population of city when it was last measured The current…

Q: Find how long it takes a person to drive 135 miles on I-­10 ifshe merges onto I­-10 at 10 a.m. and…

A: Given data: The distance is given as 135 miles. The speed is given as 60 mph. The objective is to…

Q: A book sold 36,700 copies in its first month of realease.suppose the represents 7.8% of the number…

A: If you take your current # of books and divide it by the percentage, that will give you the total…

Q: In 2015, there were approximately 3,998,000 million births in the United States. Find the birth rate…

A: Given,The number of births in U.S (in 2015) = 3998000Total population of U.S = 321 millions

Q: A zebra can run 40 miles per hour.how far can a zebra run in 3 minutes

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Q: A trucker handed in a ticket at a toll booth showing that in 2 hours she had covered 159 mi on a…

A: Consider the formula for the average speed.The average speed is overall distance covered over a…

Q: A scientist observed that a certain species of bacteria grew by 18% each hour. How many bacteria…

A: Given that a certain species grew by 18% each hour. To find the number of bacteria present after 5…

Q: O Joey Chestnut, the world's fastest hotdog eater, ate 75 hotdogs in 10 minutes. At this rate, how…

A: Given: Joey Chestnut, the world's fastest hotdog eater ate 75 hotdogs in 10 minutes. At this rate,…

Q: The men's world record for swimming 1500.0 m in a long course pool (as of 2007) is 14 min 34.56 s.…

A: First note the followings1)  1 min = 60s⇒14 min = (14 x 60) = 840 s⇒14 min  34.56 s .  = 840+34.56…

Q: is equal to 1)

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Q: When running a half marathon (13.1 miles), it took Bill 6 minutes to run from mile marker 1 to mile…

A: When the total distance covered is dtotal in total time ttotal , average speed savg is given by

Q: A sample of radioactive material disintegrates from 6 to 5 grams in 150 days. After how many days…

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Q: 6.) Sammy Swiftfoot can run 3 miles in 14 minutes. At that rate, how long would it take him to run…

A:

Q: According to a recipe for cooking roast beef, it takes 3/4 hour for each pound of beef in an oven…

A: Time taken to roast beef of 1 pound is 34 hour. Time taken to roast beef of 12 pound: t=12×34=3×3=9…

Q: A train travelled 720km in 9 hours.  How far would it travel in 11 hours?

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Q: Recall that an acre is equal to 43,560 square feet, and there are 5,280 feet in a mile. DisneyWorld…

A: Given: an acre is equal to 43,560 square feet, and there are 5,280 feet in a mile. DisneyWorld…

Q: A company pays employees 55¢ per mile to drive their own cars for business trips. If you drive 176…

A:

Q: If you run a 10 kilometer race in 43 minutes 30 seconds, what is your average time per mile? What is…

A:

Q: A scientist observed that a certain species of bacteria grew by 11% each hour. How many bacteria…

A: Answer and explanation is given below...

Q: An airplane dropped a flare from a height of 1560 feet above a lake. How many seconds did it take…

A: The diagram of an aero plane dropping a flare is shown below.

Q: A runner is participating in a 10.7mile race. If the runner stopped at a water station that is twice…

A: The total distance of the race is 10.7 miles. It is given that, the runner stopped twice as far from…

Q: If a person ran a 26.2 mile race in 2 hours and 15.4167 minutes, how fast was she going in mph?

A: Given: The distance of the race =26.2 mile Therefore the distance covered by the person  is…

Q: The Iditarod sled dog race extends 1049 miles from Anchorage to Nome. If a musher is twice as far…

A: Let the distance of Musher from Nome, in miles, is represented by x .Hence the distance from…

Q: According to Fidelity Investment Vision Magazine, the average weeklyallowance of children varies…

A: According to Fidelity Investment Vision Magazine, the average weekly allowance of children varies…

Q: A car is going 55.0 miles per hour. At that speed, how long will it take to travel 2,500m? (1mile =…

A:

Q: The world land speed record of 763.0 mi/h was set on October 15, 1997, by Andy Green in the…

A: We have to find the speed in meter per second.

Q: Which amount of time is greater for the average person, the total time spent on his/her cell phone…

A: Total amount spent of his/her cellphone is greater.

Q: Last year, a 20-acre field yielded 2,700 bushels of corn. At the same rate, how many acres would be…

A: Total bushels of corn are yield in 20 acre field is 2700.

Q: In a lab experiment, 40 bacteria are placed in a petri dish. The conditions are such that the number…

A: The growth or decay is expressed using the exponential equation, f(t)=abt. Here, a is the initial…

Q: A particular extension cord can support up to 8 amps. SeSe has an iron whose label started 1,200…

A: Given that Power P = 1200 W and Voltage V = 120 V

Q: A skilled typist, on routine work, kept a record of mistakes made per day during 300 worke

A: Proportion = p =x/n ; where x is no of days and n is 300 frequency =100*p ; calculated in percentage…

Q: The sum of mABand mBC'is equal to A

A:

Q: A car travels a distance of 540km in 6 hours. What speed did it travel at?

A:

Q: To avoid a mountain range, a helicopter must climb 7,485 feet in 4 minutes. What is the helicopter's…

A: It is given that the helicopter must climb 7,485 feet in 4 minutes.

Q: In a lab experiment, 510 bacteria are placed in a petri dish. The conditions are such that the…

A: We are given that the initial amount of bacteria at t=0 is b0=510 and that the bacteria doubles…

Q: if 12 machines take 24  days  to complete a job, how long will it take for 39 machines to do the…

A:

Q: if a swimmer swims 85.4 yards in five minutes, how many meters will s/he swim in 70.0 seconds?

A: The ratio of distance to time and multiply by the desired time

Q: If Ms. Girvan can only walk on the beach when the water level is below 3 metres, show a calculation…

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Q: How many drivers would you expect to have speeds between 170.4 mph and 177.0 mph ? Show all work.

A: The mean is 184.4 mph and the standard deviation is 7.2 mph.

Q: A patient is administered a dose of 50 mg of a drug. If she is hooked to an IV that injects an…

A:

Q: (a) The value of a car depreciates by 25% in a year. What will a car, currently priced at $43,000,…

A: We will find the price of car after one year

Q: The population of a city has increased by 29% since it was last measured. If the current population…

A:

Q: In a recent study, results explained that approximately 1.5 x 10 bottles of water were consumed each…

A: As two questions are given, I will solve only one, According to the Question, Number of bottles of…

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.