frank needs to convert 24 centimeters per second to meters per minute. which conversion factors should she use?

for the cm units you would need to multiply by .01 to convert it to meters than multiply the time unit by (1/60) to change from seconds to minutes.

so the answer is 0.01/1cm and 1min/60sec

Answer Link

ApusApus ApusApus · Answer 2 · 2019-08-17T06:08:26+02:00

Answer:

C. [tex]\frac{\text{0.01 m}}{\text{1 cm}}\text{ and } \frac{\text{60 sec}}{\text{1 min}}[/tex].

Step-by-step explanation:

We have been given that Frank needs to convert 24 centimeters per second to meters per minute. We are asked to convert choose the appropriate conversion factors.

[tex]\frac{\text{ 24 cm}}{\text{sec}}[/tex]

1 min = 60 sec

[tex]\frac{\text{ 24 cm}}{\text{sec}}\times \frac{\text{60 sec}}{\text{1 min}}[/tex]

We know that 1 meter equals 100 centimeters and 1 cm equals 0.01 meters.

[tex]\frac{\text{ 24 cm}}{\text{sec}}\times \frac{\text{60 sec}}{\text{1 min}}\times \frac{\text{0.01 m}}{\text{1 cm}}[/tex]

[tex]\text{0.24 m}\times \frac{\text{60}}{\text{1 min}}[/tex]

[tex]\frac{\text{14.4 m}}{\text{min}}[/tex]

Therefore, our conversion units are [tex]\frac{\text{0.01 m}}{\text{1 cm}}\text{ and } \frac{\text{60 sec}}{\text{1 min}}[/tex] and option C is the correct choice.