A.

The denominator of the second number goes down one because you aren't replacing the initial marble pulled, making the amount of marbles in the bag go down, but not affecting the white count because you pulled a purple marble.
b.

The same can be said about the denominator for this problem, but not the numerator. The numerator must go down one number as well, because you already chose one white marble, taking one of the white marbles out of the bag, leaving you with one solitary, white marble.
c.
Chance of selecting two purple marbles:
<u />

Chance of selecting two white marbles:

<u>Chance of selecting two purple</u> vs. <em>Chance of Selecting 2 white:</em>
<u>0.583</u>><em>0.278</em>.
It is more likely to select 2 purple marbles.
Hope this helps!
Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
To get 75 using 7, 5, 6, and 3 only once:
= (7+5) * 6 + 3
parentheses first
= 12 * 6 + 3
multiplication before addition
= 72 + 3
= 75
Without being given any constraints, I'm assuming multiplication and addition were allowed.
Hope this helps! :)
Here is your great answer Simplifying
4x2y + 12xy2 + 9y3
Reorder the terms:
12xy2 + 4x2y + 9y3
Factor out the Greatest Common Factor (GCF), 'y'.
y(12xy + 4x2 + 9y2)
Factor a trinomial.
y((2x + 3y)(2x + 3y))
Final result:
y(2x + 3y)(2x + 3y)