If Ahmet travels half of the road at 90 km/h in 1 hour and the remaining half at 60 km/h, his average speed is what?

Q: A vehicle purchased for $32,500 depreciates at a constant rate of 5% per year. Determine the…

A: purchased cost of vehicle=$32,500Rate of depreciation=55 per yearNumber of years after purchased =10…

Q: The frequency of a vibrating string under constant tension is inversely proportional to its length.…

A:

Q: Show that at some instant during a 2-hour automobile trip the car’s speedometer reading will equal…

A: Consider the formula for the average speed.Average speed is overall distance covered over the period…

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

A:

Q: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At…

A: In order to average 40 mph on a 20-mile trip, the time histotal trip must take is found by the…

Q: For a car moving at a constant speed, the distance traveled varies directly with the time spent…

A:

Q: If you travel one mile in 59 seconds, what is your approximate average speed? What is your exact…

A: Since, it is given that if we travel one mile in 59 seconds, then our aimis to tell the average…

Q: A cyclist covers his first five km. at an average speed of 10 km. p.h., another km. at 8 km. p.h.…

A:

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the…

A: Time (T) is proportional to the length of the highway (L) and inversely proportional to the number…

Q: If a car travels 199.2 miles in 6 hours, what is it’s average rate of speed to the nearest tenth of…

A: To determine the average rate of speed.

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: One car leaves a given point and travel north at 30 mph. Another car leaves 1 hour later, and travel…

A:

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

A:

Q: If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude…

A: We have to determine the relationship between the intensities of the two earthquakes .

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: In the electric currect​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A: Resistance R ∝ 1/D2 R = k/ D2; where k is the proportionality constant. A wire 0.01 inches in…

Q: If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, how many…

A:

Q: For a set amount of time, the distance Kirk can run is directly related to his average speed. If…

A:

Q: An automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

A:

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…

A:

Q: If darin traveled 30 miles in 2 hours, and ed traveled three times as far in half the time, what was…

A: Darin travelled 30 miles in 2 hours. Ed travels thrice this distance in half the time.

Q: The number of phone calls between two cities, N, during a given time period varies the directly as…

A: The relation may be established as,   Remove the proportionality sign and replace it with a…

Q: A man travels first 900 Kms of his journey by train at an average speed of 80 Kms per hour, next…

A: Solution is given:

Q: A cyclist pedals from his house to his college at a speed of 10 km.p.h and back from the college to…

A: Answer: Using the given data,

Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A:

Q: A cheetah can travel 60 km in 30 minutes. What is the average speed of a cheetah?

A: The average speed formula is: total distancetotal time

Q: At what rate is the distance between Jack and Jill changing if Jack is 3 miles from the bakery and…

A: Given:         To determine:

Q: For a car moving at a constant speed the distance traveled varies directly. with the time spent…

A:

Q: How strong is the relationship between the average monthly temperature and the number of homicides…

A: The question is based on a correlation Given data :

Q: The velocity v of a falling object varies directly to the time, t, of the fall. If after 2 seconds,…

A:

Q: Suppose that the magnitudes of two earthquakes differ by 1 on the Richter scale. Find the ratio of…

A: Earthquake A be the larger earthquake and earthquake B be the smaller one. The difference in the…

Q: Under constant temperature, the volume occupied by a gas varies inversely to the pressure applied.…

A: The given data is: If the gas occupies a volume of 22 cubic inches under a pressure of 7 pounds per…

Q: Two cyclists, 90 mi apart, start riding toward each other at the same time. One cycles twice as fast…

A: Given that, the distance between two cyclists is 90 mi, and one cycles twice as fast as the other…

Q: In the electric currect​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A: Given: Resistance R1=0.422 ohm Diameter D1=0.01 inches Given resistance offered by a fixed length…

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: If a car moving at a constant rate travels (2x3-x2 - 4x + 3) km in (x2 - 2x + 1) hours, what is the…

A:

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: If you drive from New York to Boston at 55 MPH, and return at 75 MPH. What is your overall average…

A: The drive from New York to Boston at 55 MPH, and return at 75 MPH.

Q: Two cyclists, 48 mi apart, start riding towards each other at the same time. One cycles twice as…

A: Given that two cyclists is 48mi apart riding towards each other at the same time and one cycle is…

Q: The number of long distance phone calls between two cities in a certain time period varies jointly…

A: Given: The number of long distance phone calls between two cities in a certain time period varies…

Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A: D= 156 miles T = 3 hours

Q: At what rate is a car traveling if it goes 157.5 miles in 2.5 hours?

A: Given ,Distance travelled by car, d=157.5 milesTime taken, t=2.5 hours

Q: The average number of weekly social media posts varies jointly with the poster's yearly income (in…

A: Let the average number Of weekly post be ‘N’ Let yearly income be ‘I’ And age in years be ‘A’ The…

Q: The shelf life of a perishable commodity varies inversely with the storage temperature. If the shelf…

A: Shelf life of a perishable commodity≈1storage temperature   At 10 degrees C:                  Shelf…

Q: Each side of a square is increasing at a constant rate of 4 centimeters per second. At what rate is…

A:

Q: If a number decreases from 88 to 11, what is the rate of decrease (as a %)?

A: A number decreases from 88 to 11

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

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.