Answer:
726.572699
Step-by-step explanation:
According to differentials
(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)
Using this formula to solve (8.99)³, this can also be written as;
(8.99)³ = (9-0.01)³ where
x = 9
Δx = -0.01
Substitute this vales into the differential expression above
(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³
(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 726.572699
Hence 8.99³ = 726.572699 (Using differential)
Using calculator;
8.99³ = 726.572699
10/22 in simplest form is 5/11
Use substitution and substitute y into the other equation. One of the equations already gives you y in terms of x, so use that and substitute it into the other equation. y = 3x - 4
Plug into the other equation: -3y = -9x + 12
-3(3x-4) = -9x + 12
-9x + 12 = -9x + 12
This is an identity. So that means that any value of x makes this equation true. So B.
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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