Answer:
i think i know
Step-by-step explanation:
I believe the answer would be 2 of 120
Answer:
3 acute angles with different measures and 1 right angle and 2 acute angles with same measures
Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
Answer:
140
Step-by-step explanation:
Suppose,
x drinks were sold for 2$
y drinks were sold for 5$
therefore, x+y = 250....( 1 )
and 2x+5y = 830......( 2 )
multiply equation ( 1 ) with 2,
2x+2y = 500......( 3 )
Subtract equation ( 3) from (2)
3y = 330
or, y = 110
so, x = 140
so, 140 drinks were sold for 2$