If a bear runs at 20 mph for 3 mins. and a human runs at 10 mph for 3 mins. show the formula needed to determine head start human would need not to be caught.

Q: To increase her endurance, a speed skater decides to include running as part of her workout. During…

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Q: Suppose your dorm is 3.66m wide by 3.66m long by 2.71m high and has an air conditioner that…

A: It is given that dorm is 3.66m wide by 3.66m long by 2.71m high and has an air conditioner that…

Q: As part of her fitness program, Karen has taken up jogging. If she jogs 1 mi the first day and…

A: Formula:   Consider the arithmetic progression is a, a+d, a+2d,……….a+(n-1)d. Formula for nth term n…

Q: A machine that drills holes for wells drilled to a depth of -72 feet in one day (24 hours). If the…

A: A constant rate signifies that the work done during each moment of is same. Equations can be formed…

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: A cyclist plans to cover the distance of 240 km. He calculated that if he is going to ride 8.4 km/h…

A:

Q: If a bear runs at a top speed of 20mph for 3 minutes and a human runs at a top speed of 10 mph for 3…

A: If we were graphing, then the y-axis would be for distance and the x-axis would be for time in…

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: Two Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

A: Let the first Tropical cyclone be named cyclone A and the second one cyclone B.  Now, these two…

Q: A snail is at the bottom of 10-meter well. Each day it crawls up 3 meters, but at night, it slips…

A: The snail crawls up 3 meters at day, but slips down 2 meters at night. So gradually, everyday it is…

Q: It takes you 59 seconds to walk from the first (ground) floor of a building to the third floor. How…

A: Given- It takes 59 seconds to walk from the first (ground) floor to the third floor of the building.…

Q: As part of a training program for the Boston Marathon, a runner wants to build endurance by running…

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Q: Jean is x years old and her younger brother Jonathan is y years old. What will be the sum of their…

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Q: A machine that drills holes for wells drilled to a depth of -72 feet in one day (24 hours). At this…

A: Given Machine drills holes for wells to a depth of -72feet in 24 hours we have to find how many…

Q: As a result of Superstorm Sandy in 2012, many basements on Long Island were flooded. If a basement…

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Q: A student can finish a project 15 minutes earlier than the other student. How long will it take them…

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Q: An athlete knows that when she jogs along her neighborhood​ greenway, she can complete the route in…

A: We can find the answer in the below steps.

Q: Explain why if a runner completes a 6.2-mi (10-km) race in 32 min, then he must have been running at…

A: A runner completes a 6.2 miles race in 32 minutes.

Q: A salesman drives from Ajax to Barrington, a distance of 166 mi, at a steady speed. He then…

A: Let us suppose that the salesman was driving between Ajax and Barrington with speed s mi/hr.Then his…

Q: Suppose the value of a car V is related to the number of years since its purchase by the formula V =…

A: Here the value of car  is given V = 25000-2100n After 5 year then n = 5

Q: A lizard is at the bottom of a 19-foot well. Each day it crawls up 5 feet, but each night it slips…

A: We have been given that a Lizard  is at the bottom of a 19  foot wall. It crawls up 5 feet during…

Q: If the raindrop is initially 500 m above the ground, how long does it take to fall? Find the

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Q: A boat leaves a dock at 4:00 PM and travels due south at a speed of 20 km/h. Another boat has been…

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Q: A giant tortoise can travel 0.12 miles in 1 hour. At this rate, how long would it take the tortaise…

A:

Q: Mitzi drops a ball from a height of 10 m and notices that on each bounce the ball returns to about…

A: Definition used -                               Sum of the infinite geometric series - ( When…

Q: Suppose that a car’s worth depreciates at a constant rate.  You bought the car in 2002 for $18,000…

A: Considering the years as x-axis and and cars worth as y-axis. Let 2002 be 0. Therefore,the given…

Q: One end of a ladder 25 feet long slides down a vertical wall while the other end moves away from the…

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Q: A bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30…

A: Given that, the bus leaves a half -hour before the car. The speed(r) of the bus is 50 miles per…

Q: As part of a conditioning program, a jogger ran 12 mi in the same amount of time as it took a…

A:

Q: It takes you 32 seconds to walk from the first (ground) floor of a building to the third floor. How…

A: Time taken to walk from First floor to third floor = 32 seconds Time taken to walk from First floor…

Q: A rocket is launched with an initial upward velocity of 320 feet per second from an Initial height…

A: If the initial upward velocity and initial height of an object is given then the height function of…

Q: A body at a temperature of 50 degree Fahrenheit is placed in an oven whose temperature is kept at…

A: toNewtonisdawAccordingof coolingdTTs-KLT-Ts)1surrounding tempis temp after itminutesdtTlt)>dT-k…

Q: A jet plane traveling at 570 mph overtakes a propeller-driven plane that has had a 2 h head start.…

A: Let x miles from the starting point does the jet overtake the propeller-driven plane.  We will use…

Q: If there are initially 4500 bacteria in a​ culture, and the number of bacteria doubles each​ hour,…

A: In the question we have to find t when the number of bacteria in the culture reach 20,000​.

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A:

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: A train leaves San Diego at 3:00 PM. A second train leaves the same city in the same direction at…

A: Given data are: Time at which First train leaves San Diego = 3:00 PM Time at which Second train…

Q: how long will it take to complete the sweeping?

A: Let the amount of time taken by the truck to sweep the entire town be t hours. The total distance…

Q: If Jill josh 2 miles in 15 minutes how long will it take her to the nearest minute to jog 5 miles at…

A: Given that Jill jog 2 miles in 15 minutes. To find Time taken by the Jill to jog 5 miles at tye same…

Q: When a ping pong ball is dropped, it rebounds to 85% of its original height. If the original height…

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Q: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45mph. If the car had a 1…

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

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Q: A giant tortolse can travel 0.14 miles in 1 hour. At this rate, how long would it take the tortoise…

A: We can find it as below

Q: Mr. O'Dell and Mr. Johnson begin running laps around a one mile track at the same time. Mr. O'Dell…

A: Mr. O'Dell and Mr. Johnson begin running laps around a one mile track at the same time.  Mr. O'Dell…

Q: A frog is at the bottom of a ten feet well. Each day it crawls 2 feet and loses its grip and slides…

A: See below

Q: Two cars start from the same point, at 11:05 AM, traveling in opposite directions at 45 and 24 mph,…

A: Two cars leaving from same destination traveling in opposite direction. Hence, their relative speed…

Q: One window washer starts at a height of 20 feet in the air and is rising at 2 ft/s. The second…

A: Let after t seconds the two window washers will be at the same height.    Given that, the first…

Q: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, has hada 3 hour head start. How…

A: Ler x miles from the starting point the car overtakes the cyclist. We will use the formula: time…

Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

A: Note:  According to our guidelines we are supposed to do only first question. Kindly repost other…

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.