Answer:
Step-by-step explanation:
The expression is
(1/6+2 2/3)x(1 1/4-1/2)
Looking at the first parenthesis, (1/6 + 2 2/3), 1/6 is a proper fraction while 2 2/3 is a mixed fraction. We would convert 2 2/3 to improper fraction. It becomes 8/3. The first parenthesis becomes (1/6 + 8/3). The LCM is 6 so it becomes
(1 + 16)/6 = 17/6
Looking at the second parenthesis, (1 1/4 - 1/2), 1/2 is a proper fraction while 1 1/4 is a mixed fraction. We would convert 1 1/4 to improper fraction. It becomes 5/4. The second parenthesis becomes (5/4 - 1/2). The LCM is 4 so it becomes
(5 - 2)/4 = 3/4
The expression becomes
17/6 × 3/4 = 17/8 = 2 1/8
The value of y = 4
When two lines are parallel and is cut by a transversal, the alternate angles are equal
y² = 8y - 16
y² - 8y + 16 = 0
y² - 4y - 4y + 16 = 0
y(y - 4) -4(y - 4) = 0
(y - 4)(y - 4) = 0
y - 4 = 0
y = 4
Therefore, the value of y = 4
To learn more about parallel equation refer here
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Answer:
answer is n=4
Step-by-step explanation:
2/3n - 2/3 = n/6 + 4/3
<=> 4/6n - 4/6 = n/6 + 8/6
<=> 4n - 4 = n + 8
<=> 4n - n = 4 + 8
<=> 3n = 12
<=> n = 4
DONE :))
you add 78 plus 37 then subtract from 180
The question is asking how many combinations of two people can be made from a group of ten people.
Using the formula C(10,2) = 10!/(2! x (10 - 2)! = 10!/(2! x 8!) = 45 handshakes.
A simple way to prove this is each person shakes the hand of 9 other people
10 x 9 = 90 but this counts every handshake from the view of both people involved.
The actual number of handshakes is therefore 90 / 2 = 45