Given,
2x - 1/2 = 3 - x
2x + x = 3 + 1/2
3x = 7/2
3x = 3.5
x = 3.5/3
x = 1.167
Answer:
The Answer is A. 2458.94
Step-by-step explanation:
Answer:
sold 120 chocolate bars
sold 140 peanut butter bars
Step-by-step explanation:
x = peanut butter bars
y = chocolate bars
x + y = 260, total lbs
0.25x + 0.30y = 71, money
solve double variable equation
multiply -4 on both sides for 2nd equation
-x + -1.2y = -284
add both equations together
-0.2y = -24
y = 120
x = 260 - 120
x = 140
sold 120 chocolate bars
sold 140 peanut butter bars
Answer:
Example:
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Solution:
tree diagram
a) Check that the probabilities in the last column add up to 1.
b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.
ii) There are two outcomes where the second ball can be black.
Either (B, B) or (W, B)
From the probability tree diagram, we get:
P(second ball black)
= P(B, B) or P(W, B)
= P(B, B) + P(W, B)
It's not clear whether you meant 30n^(2b) or [30n^2] b.
I will assume the latter.
b can then be factored out of all three terms, resulting in
b [30n^2 - 87n + 30] = b [ 3 ] [10n^2 - 29n + 10 ]
Can you factor this further?
