Answer:
Step-by-step explanation:
x/4 - y/3 = 1..multiply everything by the LCD....which is 12
3x - 4y = 12 <== standard form
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if it makes it easier for u, x/4 is the same as (1/4)x and y/3 is the same as (1/3)y
so ur problem can be written as : (1/4)x - (1/3)y = 1....multiply by 12
12(1/4)x - 12(1/3)y = 12(1)
(12/4)x - (12/3)y = 12.....reduce
3x - 4y = 12
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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Answer:
$60
Step-by-step explanation:
set up a proportion and cross-multiply:
3000/400 = cost/450
c = cost
3,000c = 180,000
c = 180/3
c = 60
Answer:
Adult= 150 and Children=136
Step-by-step explanation:
