Answer:
The solution is (4, 0)
Step-by-step explanation:
Using Linear combination method to solve:
Since "e" have the same coefficient in both equation with opposite operator; we will add.
Divide both side by coefficient of d which is 3
Since d = 4; put 'd' into any of the equation to get 'e'
Therefore, the solution is (4, 0)
There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
Answer:
<u>Percent air is calculated as:</u>
- Percent air = Current amount/Total amount *100
<u>Solve for total amount of air:</u>
- Total amount = Current amount / Percent air * 100
Substitute the values in hand to get the answer
Well a perfect square looks like this:
6 x 6
2 x 2
So the number 72 is between the PRODUCT of two perfect squares such as those.
One product has to be above 72, and the other below it.
So lets multiply.
8 x 8 = 64
9 x 9 = 81
Oh look at that, 72 is between 64 and 81.
THIS IS A PROPORTION QUESTION.
45 x CROSS MULTIPLY.
__ = ____
6 26
45*26=1170
6*x=6x
1170=6x DIVIDE 6 ON BOTH SIDES
_________
195=x
THE OFFICIAL ANSWER IS 195 OUNCES OF LEMONADE WOULD BE NEEDED TO SERVE 26 PEOPLE. HOPE THIS HELPS!!!!!!!!!! :)
