Answer:
$5
Step-by-step explanation:
Let the cost of one burger be $b while the cost of one small fries be s
2 burgers and 2 small fries cost $14
This means that;
2b + 2s = 14
divide both sides by 2
b + s = 7 •••••••• (i)
Three burgers and four small fries cost $23
Mathematically;
3b + 4s = 23 •••••••• (ii)
From i , we can see that s = 7- b
we can now substitute this into equation ii
3b + 4(7-b) = 23
3b + 28 -4b = 23
4b -3b = 28 -23
b = $5
one burger costs $5
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:
A) x=2, 8
Step-by-step explanation:
abs(x-5)=3
x-5=3, x-5=-3
x=3+5=8,
x=-3+5=2
Answer:
x = 15°
y = 59°
Step-by-step explanation:
Angles at a right angle add up to 90°
41 + y = 90
y = 90 - 41
y = 59°
Angles in a triangle add up to 180°
41 + (2x - 9) + 7x + 13 = 180
41 + 13 - 9 + 2x + 7x = 180
45 + 9x = 180
9x = 180 - 45
9x = 135
x = 135/9
x = 15°
