Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
Michael bought 3.5 lbs of cheese
Divide 11.48 by 3.28
Answer:
Farmer Anne's land = 173 acres
Farmer Cassius = 519 acres
Farmer Mel = 1,557 acres
Step-by-step explanation:
Total acre = 2,249
Let
Farmer Anne's land = x
Farmer Cassius = 3x
Farmer Mel = 3(3x) = 9x
x + 3x + 9x = 2,249
13x = 2,249
x = 173
Farmer Anne's land = x = 173 acres
Farmer Cassius = 3x
= 3(173)
= 519 acres
Farmer Mel = 3(3x) = 9x
= 9(173)
= 1,557 acres
Therefore,
Farmer Anne's land = 173 acres
Farmer Cassius = 519 acres
Farmer Mel = 1,557 acres
8/6 and then m/16 is the correct answer
