One lap around a track is 1/4 of a mile. It takes Seth 1/30 of a hour to run one lap. What is Seth's unit rate per hour around the track?

Seth's unit rate per hour around the track is 7.5 miles per hour.

Step-by-step explanation:

Step 1:

First, we convert the given fractions into decimals.

of a mile = 0.25 of a mile = 0.25 miles.

Seth takes of an hour to run a lap.

To determine how many minutes it took Seth, we multiply the given fraction with the number of minutes in an hour i.e. 60 minutes.

of an hour minutes.

So it takes Seth 2 minutes to run a lap.

Step 2:

To determine Seth's unit rate per hour, we need to determine the distance that Seth runs in an hour at the same rate.

If he covers 0.25 miles in 2 minutes then we multiply that value by 30 to get the distance covered in an hour.

If 0.25 miles is covered in 2 minutes, then the distance covered in 1 hour miles.

So Seth's unit rate per hour around the track is 7.5 miles per hour.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation: