Answer:
Third option given
Step-by-step explanation:
On a coordinate plane, a parabola opens to the right with a vertex at (0, 0).
use the following x values to plot the associated y values on the x-y plane:
If x = 0, then 
If x = 1, then 
If x = 4, then 
If x = 9, then 
Join the points and you will find a branch of a parabola opening to the right.
Answer:
Sophia can drive 3672 miles using 18 galloons of gas.
Step-by-step explanation:
204 x 18 = 3672.
Answer is 1 year 1 month and 5 days
1. The probability that we select a red marble is 1/3.
We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.
6/18 = (6/6)/(18/6)
(6/6)/(18/6) = 1/3
So, therefore, the theoretical probability of picking a red marble is 1/3.
2. The probability that we select a blue marble is 2/3.
We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.
Greatest Common Factor of 12 and 18 = 6
12/18 = (12/6)/(18/6)
(12/6)/(18/6) = 2/3
Thus, the theoretical probability of picking a blue marble is 2/3.
Answer:
250 miles
Step-by-step explanation:
The given distance between the house and the beach is 125 miles.
Let 
miles be the distance between the house and the lunch stop.
So, at the time of the lunch stop, he already traveled miles, the remaining distance is the distance between the lunch stop and the beach.
Let 
miles be the remaining distance, so
Give that the ratio of the distance he has traveled, , to the distance he still has to travel, , is 
,i.e
Hence, the distance traveled by Herman when he stops for lunch is 250 miles.
