Answer:
Step-by-step explanation:
Since there are 360 degrees in a circle, we can set up the following proportion:
It is 9 and 8:3.It is because 8 and 3 do not have any factors that are the same especially because 3 is a prime number.A prime number is a number that has only a factor of itself and 1
Answer:
20 tickets
Step-by-step explanation:
tickets/total tickets * 100% = 10% chance to win the raffle
x/200*100=10
solve for x
x/200 = 10/100
x = 200(0.1)
x = 20
Answer:
Option B. A = (5/6)^-⅛
Step-by-step explanation:
From the question given above, we obtained:
(5/6)ˣ = A¯⁸ˣ
We can obtain the value of A as follow:
(5/6)ˣ = A¯⁸ˣ
Cancel x from both side
5/6 = A¯⁸
Recall:
M¯ⁿ = 1/Mⁿ
A¯⁸ = 1/A⁸
Thus,
5/6 = 1/A⁸
Cross multiply
5 × A⁸ = 6
Divide both side by 5
A⁸ = 6/5
Take the 8th root of both sides
A = ⁸√(6/5)
Recall
ⁿ√M = M^1/n
Thus,
⁸√(6/5) = (6/5)^⅛
Therefore,
A = (6/5)^⅛
Recall:
(A/B)ⁿ = (B/A)¯ⁿ
(6/5)^⅛ = (5/6)^-⅛
Therefore,
A = (5/6)^-⅛
