Answer:
330yd^3
Step-by-step explanation:
multiply all of them
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:
10 miles.
Step-by-step explanation:
Let x be the number of miles on Henry's longest race.
We have been given that Henry ran five races, each of which was a different positive integer number of miles.
We can set an equation for the average of races as:

As distance covered in each race is a different positive integer, so let his first four races be 1, 2, 3, 4.
Now let us substitute the distances of 5 races as:


Let us multiply both sides of our equation by 5.


Let us subtract 10 from both sides of our equation.


Therefore, the maximum possible distance of Henry's longest race is 10 miles.
The first step for solving this expression is to distribute

through the first set of parenthesis.

× (x - 9)
Now use the FOIL method to multiply each term in the first parenthesis by each term in the second parenthesis. This will look like the following:

x × x -

x × 9 -

x -

× (-9)
Remember that multiplying two negatives together equals a positive,, so the expression changes to:

x × x -

x × 9 -

x +

× 9
Calculate the product of all of the sets of multiplication to make the expression become:

x² -

x -

x +

Lastly,, calculate the difference of -

x -

x to find your final answer.

x² -

x +

Let me know if you have any further questions.
:)