An Expression To Convert 50 Miles Per Hour To Miles Per Minute Is Shown:$\frac{50 \text{ Miles}}{1 \text{ Hour}} \times \frac{1 \text{ Hour}}{\square \text{ Minutes}}$What Value Can Be Entered In The Box To Correctly Make This Conversion?A. 6

by ADMIN 244 views

Understanding the Conversion Problem

To convert 50 miles per hour to miles per minute, we need to find a way to express the relationship between hours and minutes in a mathematical equation. The given expression is 50 miles1 hour×1 hour minutes\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{\square \text{ minutes}}. Our goal is to determine the value that can be entered in the box to correctly make this conversion.

The Relationship Between Hours and Minutes

There are 60 minutes in an hour. This is a fundamental unit conversion that we need to apply to the given expression. To convert hours to minutes, we can use the following relationship: 1 hour = 60 minutes.

Applying the Unit Conversion

Now, let's apply the unit conversion to the given expression. We can rewrite the expression as 50 miles1 hour×1 hour60 minutes\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}}. By canceling out the hour units, we get 50 miles60 minutes\frac{50 \text{ miles}}{60 \text{ minutes}}.

Determining the Value in the Box

To determine the value that can be entered in the box, we need to analyze the resulting expression. The expression 50 miles60 minutes\frac{50 \text{ miles}}{60 \text{ minutes}} represents the conversion of 50 miles per hour to miles per minute. To find the value in the box, we need to find the number of minutes that corresponds to 1 hour.

Finding the Number of Minutes in an Hour

As we mentioned earlier, there are 60 minutes in an hour. Therefore, the value that can be entered in the box is 60.

Conclusion

In conclusion, the value that can be entered in the box to correctly make the conversion from 50 miles per hour to miles per minute is 60. This is because there are 60 minutes in an hour, and we need to apply this unit conversion to the given expression.

Example Use Case

To illustrate the concept, let's consider an example. Suppose we want to convert 50 miles per hour to miles per minute. We can use the expression 50 miles1 hour×1 hour60 minutes\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} to make the conversion. By canceling out the hour units, we get 50 miles60 minutes\frac{50 \text{ miles}}{60 \text{ minutes}}. This represents the conversion of 50 miles per hour to miles per minute.

Tips and Tricks

  • When making unit conversions, it's essential to apply the correct relationships between units.
  • In this case, we used the relationship between hours and minutes to make the conversion.
  • By canceling out the hour units, we were able to simplify the expression and find the correct value.

Frequently Asked Questions

  • Q: What is the relationship between hours and minutes? A: There are 60 minutes in an hour.
  • Q: How do I make the conversion from 50 miles per hour to miles per minute? A: Use the expression 50 miles1 hour×1 hour60 minutes\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} and cancel out the hour units.

Further Reading

  • For more information on unit conversions, see our article on [Converting Units](link to article).
  • For more examples of unit conversions, see our article on [Unit Conversion Examples](link to article).

Final Thoughts

In conclusion, the value that can be entered in the box to correctly make the conversion from 50 miles per hour to miles per minute is 60. This is because there are 60 minutes in an hour, and we need to apply this unit conversion to the given expression. By following the steps outlined in this article, you should be able to make the conversion and understand the relationship between hours and minutes.

Q&A: Converting 50 Miles per Hour to Miles per Minute

Q: What is the relationship between hours and minutes?

A: There are 60 minutes in an hour. This is a fundamental unit conversion that we need to apply to the given expression.

Q: How do I make the conversion from 50 miles per hour to miles per minute?

A: Use the expression 50 miles1 hour×1 hour60 minutes\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} and cancel out the hour units.

Q: What is the value that can be entered in the box to correctly make the conversion?

A: The value that can be entered in the box is 60. This is because there are 60 minutes in an hour, and we need to apply this unit conversion to the given expression.

Q: Why do I need to cancel out the hour units?

A: Canceling out the hour units allows us to simplify the expression and find the correct value. By canceling out the hour units, we get 50 miles60 minutes\frac{50 \text{ miles}}{60 \text{ minutes}}, which represents the conversion of 50 miles per hour to miles per minute.

Q: Can I use a different unit conversion to make the conversion?

A: While it's possible to use a different unit conversion, the most straightforward way to make the conversion is to use the relationship between hours and minutes. This relationship is fundamental and easy to apply.

Q: How do I apply the unit conversion to the given expression?

A: To apply the unit conversion, we need to rewrite the expression using the correct relationships between units. In this case, we used the relationship between hours and minutes to rewrite the expression as 50 miles1 hour×1 hour60 minutes\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}}.

Q: What is the final expression after canceling out the hour units?

A: The final expression after canceling out the hour units is 50 miles60 minutes\frac{50 \text{ miles}}{60 \text{ minutes}}. This represents the conversion of 50 miles per hour to miles per minute.

Q: Can I use this conversion to solve real-world problems?

A: Yes, this conversion can be used to solve real-world problems. For example, if you're driving a car at 50 miles per hour, you can use this conversion to determine how many miles you'll travel in a minute.

Q: Are there any other unit conversions that I should be aware of?

A: Yes, there are many other unit conversions that you should be aware of. Some common unit conversions include converting between different units of length, weight, and time.

Q: How do I practice making unit conversions?

A: To practice making unit conversions, try working through examples like the one in this article. You can also try converting between different units of length, weight, and time.

Q: What are some common mistakes to avoid when making unit conversions?

A: Some common mistakes to avoid when making unit conversions include:

  • Not canceling out the correct units
  • Not using the correct relationships between units
  • Not simplifying the expression
  • Not checking the final answer for reasonableness

Q: How do I check my final answer for reasonableness?

A: To check your final answer for reasonableness, try plugging in some test values to see if the answer makes sense. For example, if you're converting 50 miles per hour to miles per minute, try plugging in 1 hour and 1 minute to see if the answer is reasonable.

Q: What are some real-world applications of unit conversions?

A: Some real-world applications of unit conversions include:

  • Converting between different units of length, weight, and time in engineering and physics
  • Converting between different units of currency in finance
  • Converting between different units of measurement in science and research

Q: How do I learn more about unit conversions?

A: To learn more about unit conversions, try reading articles and books on the subject. You can also try taking online courses or working with a tutor to practice making unit conversions.