Answer:
1. 41/45.
2. x/(x^2+3x+6)
Step-by-step explanation:
1.
So first we fill the ven diagram.
There are 240 in band, so we fill that. 60 students are in both, we put that in the middle, and there are 110 people in choir.
now, since we want the probability that a student is chosen that is in band, and choir, and both. We add all this up
240 + 60 + 110 = 410.
The total possible outcome is 410, and the total outcome is 450, so the answer is
410/450 = 41/45
2.
First, to get the total outcomes, we have to add all the expressions together.
x(x-2) + x + 2x+8 = x^2 - 2 + x + 2x + 8 = x^2 - 2 + 3x + 8 = x^2 + 3x + 6.
Since that is the total outcome, we have to find the possible outcomes.
The problem wants BOTH from the 20th century and British, so it is x.
x/(x^2+3x+6). We cannot simplify any further, thus x/(x^2+3x+6) is our answer
Answer:
D. 6, 7
Step-by-step explanation:
12 - x < 7
-x < -5
(whenever you multiply or divide an inequality by a negative you must switch the inequality symbol)
x > 5
Answer:
Your answer would be A
The site Math-way is a good tool for this
Answer:
$106,714.29
$71,142.86
$71,142.86
Step-by-step explanation:
There's a total of 7 pieces that they invested (3 + 2 + 2 = 7) so you can do 249,000 / 7 to find what each piece was worth.
249000/7 = about 35571.43
(you always have to round money to 2 decimal places)
Then the amount each brother spent would be:
3 * 35571.43 = 106714.29
2 * 35571.43 = 71142.86
2 * 35571.43 = 71142.86

you're given both, plug them in