Answer:
24 marbles
Step-by-step explanation:
P( purple) = 2/3 = purple/total
2/3 = 16/total
Using cross products
2 * total = 3 *16
2 * total = 48
total = 24
There are 24 marbles
Answer:
0, 1, 2, 3, 4, 5
Step-by-step explanation:
When you divide a natural number by 6, the remainders you can get are 0, 1, 2, 3, 4, and 5. Hope this helps!
Answer:
9 miles
Step-by-step explanation:
use Pythagoras theorem
15 squared - 12 squared = 81
square root of 81 is 9
Answer:

Step-by-step explanation:
So we have the expression:

And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:

For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:

Grouping:

Now, substitute back the x² for u:

And this is the simplest form.
And we're done!
C, because when you add 45 on both sides, and then after that when you have to subtract 15 in both sides, you get 0 = 120.