Answer:
24.6 miles
Step-by-step explanation:
33.1-8.5=24.6
Basically, choosing one red marble out of everything is 3 / 10 because there are 3 chances of picking the red marble and 10 marbles overall. Picking one blue marble would be 6 / 10, or 3 / 5. You would multiply these two probabilities together because they are independent of each other:
(3 / 10)*(3 / 5) = 9 / 50
The probability is 9 / 50.
Answer:
∠ PQR = 55°
Step-by-step explanation:
∠ QPR = 74° ( vertical angles )
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180°
∠ PQR = 180° - (74 + 51)° = 180° - 125° = 55°
Answer:
12 miles
Step-by-step explanation:
Let the amount of hours it takes Leroy to catch up to Kevin equal x. Since speed multiplied by time is distance, Leroy would have run a total of 6x miles(6*x). Kevin already had a head start of 24 minutes, which is the same as 2/5 of an hour. In 2/5 an hour, Kevin ran 2 miles as 2 is 2/5 *5. For the next x hours his distance would be a total of 5x(5*x). This means, after x hours, Kevins distance is 5x + 2. In this case, catching up to someone is the same as having the same distance value. This means we can set the two expressions equal to each other, and solve:
6x = 5x + 2
x = 2
The time it took Leroy to catch up is 2 hours, but we are looking for the distance, which is represented by 6x. We substitute in 2 to get:
6(2) = 12
This means Leroy had to run 12 miles.
Answer:
50 quarts.
Step-by-step explanation:
One pint is half a quart.
100/2 = 50
100 pints should be 50 quarts.
Hope this helps!