Ans: about 5000 feet
Explanation: 10000 divided by 2 = 5000 feet (estimate)
Completing the square is done as follows:
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
<span>9x2 +54x = 7
</span>
2. Make sure that the coefficient of the x^2 term is 1.
<span>9(x2 + 6x) = 7
</span>
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
<span>9(x2 + 6x + 9) = 7 + 81
9(x+3)^2 = 88
</span>
<span>1 Liter = 1.05 quart.
1/1.05 Liter = 1.05/1.05 quart = 1 quart.
Replacing this value of quart in the equation below.
1 gallon = 4 quarts
1 gallon = 4 * 1/1.05 Liters
1 gallon = 3.80952380952
Total oil consumption per year in gallons is 600,000,00
So, total oil consumption per year in liters is obtained by:
600,000,000 * 3.80952380952 = 2285714285.71 liters
Converting to scientific notation, we have 2.28571 * 10^9 liters.</span>
The amount of shampoo required by Morgan each week to bathe her dog = 2 oz
So
The amount of shampoo required by Morgan in 7 days to bathe her dog = 2 oz
The amount of shampoo remaining after 4 weeks = 34 oz
So the amount of shampoo remaining after (4 * 7) days = 34 oz
The amount of shampoo remaining after 28 days = 34 oz
The amount of shampoo that Morgan uses in 28 days = (2/7) * 28 oz
= 2 * 4 oz
= 8 oz
Then
8 oz of shampoo is required by Morgan in = 28 days
Then
34 oz of shampoo will be used in = (28/8) * 34 days
= 7 * 17 days
= 119 days
So
The total number of
days before the bottle becomes empty = 119 + 8 oz
= 127 days
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