The members of a book club spend $0.4 for each Bagel as refreshment.
Let x represent the cost of each bagel.
At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:
Cost = 6x + 9
At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:
Cost = 8x + 8.20
Since the same money is spent on each meeting, hence:
6x + 9 = 8x + 8.2
2x = 0.8
x = $0.4
Therefore the cost of each bagel is $0.4
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Factor out the 4 in both equations
8a^2-20^2=(2^2 times a^2 times 2)-(2^2 times 5)
therefor it is also equal to
(2a)^2 times 2-(2^2 times 5)
we can force it into a difference of 2 perfect squares which is a^2-b^2=(a-b)(a+b)
(2a√2)^2-(2√5)^2=((2a√2)-(2√5))((2a√2)+(2√5))
P(8 or 12) = 1/6
P(not 8 or 12 = 5/6
Let the expected points fro one roll be X.
The answer is -(1/6) points.
I believe that through deductive reasoning angle O is 64 degrees. The reason is it's bigger than angle R so that rules out 32 and 16 degrees, but it's not obtuse, so that rules out 128 degrees, thereby leaving you with 64. Hope this helps :)
