There are 4 cards with a picture of a rose and 3 cards with a picture of a daisy.
After one rose card is removed, the remaining cards are 3 cards with a picture of a rose and 3 cards with a picture of a daisy. A card is chosen at random,
the probability that the chosen card has rose on it is
.
The correct choice is (A).
Let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
We are given the following expression and want to expand it and simplify it.

Use the FOIL method for expanding

Simplify

Let me know if you have any questions or need clarifications, thanks!
~ Padoru
Answer:
26
Step-by-step explanation: