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70 bottles will hold 16 ounces amount same as 56 bottles hold 20 ounces.
Step-by-step explanation:
Given,
56 bottles hold 20 ounces each.
Total amount 56 bottles hold= 56x20
Total amount hold by 56 bottles= 1120 ounces
Let the number of 16 ounces bottles be = x
Total amount hold by x bottles = 16x
According to the given statement both amounts are same;
70 bottles will hold 16 ounces amount same as 56 bottles hold 20 ounces.
Keywords: Division, Multiplication
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Answer:
The correct option is;
False
Step-by-step explanation:
The coefficient of x^k·y^(n-k) is nk, False
The kth coefficient of the binomial expansion, (x + y)ⁿ is
Where;
k = r - 1
r = The term in the series
For an example the expansion of (x + y)⁵, we have;
(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵
The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15
Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ = not nk