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liraira [26]
3 years ago
6

Chad buys peanuts in a 2 pound bag. he repackages them into bags that hold 5/6 pound of peanuts. how many 2 pund bags of peanuts

should chad buy so that he can fill the 5/6 pound bag without having any peanuts left.
Mathematics
1 answer:
kati45 [8]3 years ago
4 0
This item is basically asking us the least number that can be divided by 5/6 and 2 which will give whole numbers as answers for both. That, in short term, it is asking us the least common multiple of the two numbers. The least multiple of 5 and 6 is 10. When we divide 10 by 2, we get an answer of 5. Therefore, the Chad should buy 5 2-pound bags. 
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52400

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3 years ago
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Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

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Step-by-step explanation:

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3 years ago
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ziro4ka [17]

Answer:

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Standard deviation =\sum x^2P(X)=1360.9

Step-by-step explanation:

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33         0.02     0.66          21.78

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38           0.26     9.88        375.44

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Mean =\sum x P(x) = 36.86

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