First change 0.8 to a fraction which is 4/5. Then find a common denominator between 5/8, 4/5, and 3/5. The common denominator is 40. So then you multiply the numerator by the same number you multiply the denominator by. I'll do 5/8 as an example; to get 40 as your denominator multiply 8 by 5, and then multiply 5 by 5. The fraction you'll get is 25/40. The rest of the fractions are 4/5 - 32/40 and 3/5 - 24/40. Then order them either from smallest to largest (24/40, 25/40, 32/40) or largest to smallest (32/40, 25/40, 24/40).
Step-by-step explanation:
A= 90 degree
B= 180
C=118
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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:
=12
Step-by-step explanation:
6+3(-8x-2)=12