The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes
14
hours for a car moving at
42 mph
. What is the speed of a car that makes the trip in
12
hours?
mph
Using the inverse variation formula, we have:
time = k/speed
where k is a constant of proportionality. We can solve for k by plugging in the given values for time and speed:
14 = k/42
k = 588
Now we can use k to find the speed for a 12-hour trip:
12 = 588/speed
Multiplying both sides by speed, we get:
12speed = 588
Dividing both sides by 12, we get:
speed = 49 mph
Therefore, a car that makes the trip in 12 hours has a speed of 49 mph.
To raise money for charity, Josh and some friends are hiking across the continent of Asia. While out on the trail one day, one of his French friends asks Josh for the temperature. He glances at his precision sports watch and sees that the temperature is
65.2°F
. What is this temperature in degrees Celsius (
°C
)?
Use the given formulas as necessary, and round your answer to the nearest tenth of a degree.
The formula to convert from Fahrenheit to Celsius is:
°C = (°F - 32) x 5/9
Substituting the given temperature of 65.2°F, we get:
°C = (65.2 - 32) x 5/9
Simplifying the expression inside the parentheses:
°C = 33.2 x 5/9
Multiplying and dividing:
°C = 18.44
Rounding to the nearest tenth:
°C ≈ 18.4
Therefore, the temperature of 65.2°F is approximately 18.4°C.
Epitaxian is a cutting edge technology company based in Japan. The company has just finished developing a prototype of a product it is calling the X-13. According to the company's documentation, the X-13 must be operated in a room that is kept at a temperature of . What is this temperature in degrees Fahrenheit ()?
Use the given formulas as necessary, and round your answer to the nearest tenth of a degree.
The temperature is not provided in the question.
Please provide the temperature to proceed with the solution.
Epitaxian is a cutting edge technology company based in Japan. The company has just finished developing a prototype of a product it is calling the X-13. According to the company's documentation, the X-13 must be operated in a room that is kept at a temperature of
−14.2°C
. What is this temperature in degrees Fahrenheit (
°F
)?
Use the given formulas as necessary, and round your answer to the nearest tenth of a degree.
The formula to convert from Celsius to Fahrenheit is:
°F = (°C x 9/5) + 32
Substituting the given temperature of -14.2°C, we get:
°F = (-14.2 x 9/5) + 32
Simplifying the expression inside the parentheses:
°F = (-25.56) + 32
Adding and subtracting:
°F = 6.44
Rounding to the nearest tenth:
°F ≈ 6.4
Therefore, the temperature of -14.2°C is approximately 6.4°F.