Answer:
A. [tex]\frac{\text{5280 feet}}{\text{1 mile}}[/tex]
C. [tex]\frac{\text{1 hour}}{\text{60 min}}[/tex]
D. [tex]\frac{\text{1 min}}{\text{60 sec}}[/tex]
Step-by-step explanation:
We have been given that a baseball pitcher pitches a ball at a speed of 92 miles per hour. We are asked to choose the conversion factors that can be used to find the speed of the ball in feet per second.
We know that 1 mile equals 5280 feet, so to convert 92 miles to feet, we need to multiply 92 miles by [tex]\frac{\text{5280 feet}}{\text{1 mile}}[/tex].
Therefore, option A is the correct choice.
To convert time from hours to minute, we will multiply our fraction by [tex]\frac{\text{1 hour}}{\text{60 min}}[/tex], therefore, option C is the correct choice.
To convert time from minutes to seconds, we will multiply our fraction by [tex]\frac{\text{1 min}}{\text{60 sec}}[/tex], therefore, option D is the correct choice.
[tex]\frac{\text{92 miles}}{\text{hour}}*\frac{\text{5280 feet}}{\text{1 mile}}*\frac{\text{1 hour}}{\text{60 min}}*\frac{\text{1 min}}{\text{60 sec}}[/tex]
[tex]\frac{92*\text{5280 feet}}{\text{60 }*\text{60 sec}}[/tex]
