<span>since C = 2πr
so r=C/2π</span>
Answer:
Step-by-step explanation:
R' (3,5)
S' (2,2)
T' (5,3)
Answer: 2 lbs of cherries
Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb
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Define x and y
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Let x be the number of lb of cherries
Let y be the number of lb of oranges
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Construct equations
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x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)
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Solve x and y
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From equation (1):
x + y = 6
x = 6 - y
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Substitute x = 6 - y into equation 2
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5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4
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Substitute y = 4 into equation (1)
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x + y = 6
x + 4 = 6
x = 2
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Find the weight of cherries and oranges
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Cherry = x = 2 lb
Oranges = y = 4 lbs
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Answer: Alex bought 2 lb of cherries
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Step-by-step explanation:
We have xy = 28, x² + y² = 65 and x³ + y³ = 407.
Since (x + y)(x² - xy + y²) = x³ + y³,
x + y = (x³ + y³)/(x² + y² - xy)
= (407) / [(65) - (28)]
= 407 / 37
= 11.
Hence the sum of the numbers is 11.
<span> half life i= 78 hours
amount after 78 hours is 395 kg:
395 = 790e^(k*78)
Dividing by 790 and taking natural log
ln (395/790) = (k*78)
-0.6931 = 78k
-0.00888 = k
lets calculate how much is left after 18 hours:
Amount(18)
= 790e^(-0.00888*18)
Amount = 673.301 kg
hope this helps</span>
