Answer:
r = - 2.5

Step-by-step explanation:
21r - 7 - r + 5 = - 52
20r - 2 = - 52
20r - 2 + 2 = - 52 + 2
20r = - 50
20r ÷ 20 = - 50 ÷ 20
r = - 2.5
<u>Answer:</u>
<u>Distance:</u> 6x + 15.5y > 55.5
<u>Time:</u> x + y > 4.5
<u>Step-by-step explanation:</u>
We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.
Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.
We are to write inequalities representing the distance she traveled and the total time she spent training.
<u>Distance:</u> 6x + 15.5y > 55.5
(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)
<u>Time:</u> x + y > 4.5
(she trained for more than 4.5 hours, x hours for running and y hours for biking.
Ceiling Function is the least integer that is greater than or equal to x.
For this case we have by definition that the area of a parallelogram is given by:

Where:
b: It's the base
h: It's the height
According to the data we have:

Substituting in the formula:

The area of the parallelogram is 
Answer:

Answer:
1:50 PM
Step-by-step explanation:
Left school at 10:38 AM,
took them 51 minutes,
38+51=89,
89-60=29,
so when they drove to the museum, it was 11:29 AM.
From here, they stayed at the museum for 1 hour and 26 minutes,
so they stayed at the museum until 12:55 AM since 29+26=55.
Now, it took them 55 minutes to drive back to the school,
so 12:55 plus another 55 minutes,
it's going to be 1:50 PM when Dale's class got back to school.