Answer:
The answer is 8/5 or 8 out of 5.
Step-by-step explanation:
In order to solve this you need to first add the number of envelopes together to get the sum of how many envelopes there are, 1 + 3 + 2 + 2 = 8. Next you add the amount of blue and green envelopes together 3 + 2 = 5. The total number of envelopes is 8, and 5 out of the 8 are green or blue, therefore you will have a 8 out of 5 chance of picking one of those colors.
Answer: b=101 c=79 d=101
Step-by-step explanation:
since it is a parallelogram opposite angels are congruent a = c ad b=d
because we know a=79 c must equal 79
and because all the angles must add up to 360 add 79+79 = 158
then subtract from 360- 158= 202 then divide by 2 and this will give us the value for b and d b,d=101
Answer:
6400
Step-by-step explanation:
so every 5 hours it gains 800 bacteria so 4800+800=5600 (hour 10)
and 5600+800=6400 (hour 15)
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
Im assuming you are supposed to factor this problem considering there is no = sign. starting with numbers, you can factor, or divide, both of those numbers by 9. moving on to letters, both terms have a “y” attached to them, so you can take out a y as well. leaving you with the simplified equation being
9y (2x-3)
