During your trip to New York City (320 miles away), you drive at a constant rate of 60 mph. During the return trip your speed is 70 mph. What is your average speed?

Q: A small radio transmitter broadcasts in a 62 mile radius. If you drive along a straight line from a…

A: Consider the transmitter at the origin. The radio transmitter broadcasts in a 62 mile radius ∴ The…

Q: The value of vers θ is equal to

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Q: man goes upstream at 6 km/h and the rate of the stream is 2 km/h, then the man’s speed is still…

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Q: A small radio transmitter broadcasts in a 46 mile radius. If you drive along a straight line from a…

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Q: At what rate did Kiran run? Use the table to help you determine the rate.

A: Out of all given data- Distance run by Kiran= 6300 meters Time taken by Kiran= 1/2 hour = 30 minutes…

Q: A small radio transmitter broadcasts in a 27 mile radius. If you drive along a straight line from a…

A: According to questionA small radio transmitter broadcasts in a 27 mile radius.

Q: Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in…

A: Let speed of the plane to Los Angeles= x mphSo,  speed of the plane to New York City= (x+22) mph

Q: From the table below, find Bo , B, & show the best equation of the linear n estimate amount (Y) if…

A: Excel Procedure: Enter X and Y in Excel>Data>Data Analysis> ‘Regression’>Select Y under…

Q: Kate wants to ride 10 miles on her bike. If she averages 1 mile in eight minutes, which is a…

A: Consider the provided question, Kate wants to ride 10 miles on her bike. She ride averages 1 mile in…

Q: A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a…

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Q: Can I reach Pittsburgh, which is 612 miles away, if I drive for 7 and a half hours at a constant…

A: # as per the guidelines we are not entitled to give handwritten solutions Time of drive is 712hours…

Q: A small radio transmitter broadcasts in a 29 mile radius. If you drive along a straight line from a…

A: Given  Radius=29 miles  North of the transmitter=39 miles  East of the transmitter=32 miles

Q: as a result of adverse winds the average speed of a hydrofoil on the return leg of a 180 mile round…

A: Let x be the average speed of the hydrofoil on going out x-15 is the average speed of the hydrofoil…

Q: you run the first 2 miles of a 5 mile at a rate of 300 yards per minute. Then you run the last 3…

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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: A small radio transmitter broadcasts in a 42 mile radius. If you drive along a straight line from a…

A: Given,Radius = 42 miles So, the equation of the circlex2 + y2 = 422           …… (1)Transmitter at…

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

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Q: A bus is traveling at a constant speed. If the bus travels 15 1/2 miles in 1/3 of an hour, how many…

A: Given that the bus travels 1512 miles in 13 of an hour.So the speed=distancetime=1512 miles13…

Q: A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a…

A: Here I am attaching image so that you understand each and every step.

Q: Noah rides his bike 10 km in 30 minutes. What is his average speed in kilometers per hour?

A: average speed = total distance/ total time  Here total distance = 10 km total time = 30 minutes=…

Q: In an experiment, the temperature of a solution is measured by a student to be 79 degrees, but the…

A: We need to find the percentage error in the measurement. The formula for percentage error is:…

Q: a student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

A: A student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

Q: Some students did treadmill workouts, each one running at a constant speed. (1 kilometer = 1000…

A: Given  Tyler ran 4200 meters in 30 minutes. Kiran ran 6300 meters in 30 minutes. Mai run 6.3…

Q: on a given planet , the weight of an object varies directly with the mass of the object. suppose…

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

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Q: An automobile 20 feet long overtakes a truck 40 feet long that is traveling at 50. At what constant…

A: Let the speed of the automobile be v feet/second. Since both vehicle going in the same direction.…

Q: Find the temperature at which the Celsius measurement and the Fahrenheit measurement are the same…

A: Find the temperature at which the Celsius measurement and the Fahrenheit measurement are the same…

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

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Q: If y is directly proportional to x, and y = 56 ​when x = 6, what is the value of x when y =   84?​

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Q: Markham started driving at 8 am. By noon he had traveled 164 miles. What was his average speed in…

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Q: If Ahmet travels half of the road at 90 km/h in 1 hour and the remaining half at 60 km/h, his…

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Q: Liana was 10 miles from home at 2 pm and 70 miles from home at 3:30 pm. What was her average rate of…

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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: A small radio transmitter broadcasts in a 59 mile radius. If you drive along a straight line from a…

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

A:

Q: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that…

A: This question can be solved using the concept of proportionality

Q: Andy is training for a kayak competition between Molokai and Oahu. He knows his speed is 8 mph with…

A:

Q: Find a direct variation model that relates y and x. x = −28, y = 4

A: A direct variation model is of the form y=kx  Where k=constant

Q: A small radio transmitter broadcasts in a 44 mile radius. If you drive along a straight line from a…

A:

Q: If a hiker travels at an average speed of 2.5 mi/h, how long will it take him to travel from the…

A: Let us rename the triangle as ABC,

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: Your speedometer reading is 45 mph, but your tires are larger than factory-installed tires.  The…

A: Given : speedometer reading is 45 mph

Q: A motorboat heads upstream a distance of 24 miles on a river whose current is running at 3 miles per…

A: Let the speed of the boat in still water be x mi/hr. Speed of boat in upstream = x - 3 mi/hr and in…

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…

A:

Q: A truck moving continuously, averages 52.5 mph for 6.75 hr. how far does it travel during this time?

A:

Q: A cattle train left Miami and traveled toward New York . 14 hours later a diesel train left…

A: A cattle train left Miami and traveled toward New York . 14 hours later a diesel train left…

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…

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.