Answer:
A. x = 6
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + b^2 = 10^2
64 + b^2 = 100
b^2 = 100 - 64
b^2 = 36
√b^2 = √36
b = 6
Answer:
In 286 different ways 10 players can be selected.
Step-by-step explanation:
There are 6 girls and 7 boys in a class. So in total there are 6+7 = 13 number of students in the class.
A team of 10 players is to be selected from the class.
As there is no other conditions are given, we can pick any 10 students from 13 students.
The way we can select 10 players from 13 students is;
= (13 10)
= 13!/10!(13-10)!
= 13!/10! 3!
= (13 × 12 × 11 × 10!)/ 10! 3!
= ( 13 × 12 × 11)/6
= 286
Rearrange the first equation
2x + y = 20
take away 2x from both sides
y = 20 - 2x
substitute this y value into the second equation
6x - 5(20 - 2x) = 12
6x -100 +10x = 12
add 100 to both sides
6x + 10x = 112
16x = 112
divide both sides by 16
x = 7
Substitute this x value into the first equation to get y.
2(7) + y = 20
14 + y = 20
take away 14 from both sides
y = 6
So, y = 6 and x = 7
Answer:
the answer is 85.96
Step-by-step explanation:
Hope this helps, =)