1. Convert the rate using dimensional analysis.

30 miles/hour = _______ feet/second
a. 0
b. 44
c. 43
d. 2

answer: b

2. Convert the rate using dimensional analysis.
16 feet/second = _____ yards/minute
a. 240
b. 120
c. 10
d. 320

answer: b

Can someone check my answers please?

To convert rates using dimensional analysis, you need to set up conversion factors that relate the given units to the desired units. Remember, conversion factors are ratios that equal to 1 and can be formed from equivalences between different units of measurement.

1. Converting miles per hour to feet per second:
- The conversion factor you need is the relationship between miles and feet, and the relationship between hours and seconds.
- There are 5280 feet in a mile, and 3600 seconds in an hour.
- To cancel out the miles and hours, you should multiply by the ratio of (5280 feet / 1 mile) and (1 hour / 3600 seconds).

Doing the calculations:
30 miles/hour * (5280 feet / 1 mile) * (1 hour / 3600 seconds) = 44 feet/second.

So, the correct answer is actually b. 44.

2. Converting feet per second to yards per minute:
- The conversion factors you need are the relationship between feet and yards, and the relationship between seconds and minutes.
- There are 3 feet in a yard, and 60 seconds in a minute.
- To cancel out the feet and seconds, you should multiply by the ratio of (1 yard / 3 feet) and (1 minute / 60 seconds).

Doing the calculations:
16 feet/second * (1 yard / 3 feet) * (1 minute / 60 seconds) = 5.33 yards/minute.

So, the correct answer is actually b. 120.

Both of your answers are incorrect. The correct answers are b. 44 for the first question, and b. 120 for the second question.