1. A car travels 17 miles in 20 minutes. What is the rate in miles/min.

Do I just divide the two so the car is going 85 miles per minute? But is that the correct label or would it be mph?

2. Compare 9 ft. to 7 yards. Write the ratio as a fraction in lowest terms. Since they are asking for a ratio do I need to convert the yards to feet first before writing as a ratio and reducing?

17mi/20min = 17/20 mi/min

Why would you think hours have to be used? They asked for the rate in mi/min.

In order to compare, you must have the same units. So, you must say either

9ft/(7yd * 3ft/yd) = 9ft/21ft 9/21 = 3/7

or

(9ft * 1yd/3ft)/7yd = 3yd/7yd = 3/7

Once you get the same units, they cancel, just like other factors

You do not get 85 if you divide

17 miles / 20 minutes

You get 0.85 miles/minute

mph is wrong here. Hours is not in the problem

18 hrs to 1 day in ratio

1. To calculate the rate in miles per minute, you need to divide the distance traveled by the time taken. In this case, the car travels 17 miles in 20 minutes. So, the rate in miles per minute would be calculated as:

Rate = Distance / Time

Rate = 17 miles / 20 minutes

After performing the division, you will find that the rate is 0.85 miles per minute, not 85 miles per minute. It is important to pay attention to the decimal value when converting minutes into fractions of an hour.

The correct label for this rate would be "miles per minute" since we are measuring the distance traveled in miles and the time taken in minutes. If you wanted to convert it to an equivalent rate in miles per hour (mph), you would need to multiply the rate by the number of minutes in an hour (60 minutes) to convert from minutes to hours.

2. To compare 9 ft and 7 yards, it is necessary to convert one of the measurements to match the other unit. Since 1 yard is equal to 3 feet, we can convert 7 yards to feet by multiplying it by 3:

7 yards = 7 yards * 3 feet/yard = 21 feet

Now, we can write the ratio as a fraction:

Ratio = 9 ft / 21 ft

The fraction 9/21 is not in its lowest terms since both 9 and 21 are divisible by 3. To reduce the fraction to lowest terms, divide both the numerator and denominator by their greatest common divisor, which is 3 in this case:

Ratio = 9 ft / 21 ft = (9/3) ft / (21/3) ft = 3/7

So, the ratio of 9 ft to 7 yards, written as a fraction in lowest terms, is 3/7.