Answer:
y = 15
Step-by-step explanation:
angle poq + angle qor equals mpor (120)
4y + 3y + 15= 120
7y+15=120
subtract 15 from both sides
7y=150
divide both sides by 7
y=15
check:
4(15) + 3(15) + 15 equals 120
60 + 45 + 15 = 120
120 = 120
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:
5.) 0.134 kg.
6.) 6.15 km.
7.) 5.9 kg.
Step-by-step explanation:
5.) 0.37 - 0.236 = 0.134
6.) 9.71 - 3.56 = 6.15
7.) 1.7 + 4.2 = 5.9
Number 5 is 15.9 kilograms
And number 6 is 6 million cubic feet per minute
You just cross multiply
D.11.5 because when you bring the line and the dot it is 11.5
