Answer:
20 miles per hour
Step-by-step explanation:
The distances traveled by each car are perpendicular, so we can find the distance between the cars using the Pythagoras' theorem between their distances traveled:
Where d is the distance between the cars, d1 is the distance traveled by the first car and d2 is the distance traveled by the second car.
The distance traveled is calculated by the speed times the time traveled, so we have:
The rate that the distance is increasing can be found with the derivative of the distance in relation to the time:
So the rate that the distance increases is always 20 miles per hour, and it's independent of the time.
There was 1/8 liter of orange juice in each glass
Answer: She would have to burn between 220 and 240 calories per minute to have a calorie burn rate between those of Martin and Paul.
Step-by-step explanation:
Martin:
360 calories / 30 min = 12 calories/min
Paul:
165 calories / 15 min = 11 calories/min
Kara:
Needs to burn between 11 and 12 calories/min, so we'll calculate the range:
11 calories/min x 20 min = 220 calories (minimum # calories she can burn)
12 calories/min x 20 min = 240 calories (maximum # calories she can burn)
Answer: 0.83
Step-by-step explanation:
Answer: 8 movies
12 + 1.50x = 3x
Move the variables to one side
12 = 1.50x
Isolate x
8 = x
Check:
3(8)= 24
12.00 + 1.50(8) = 24
