Answer:
12 liters of water should be added to the current mixture to obtain a new mixture containing milk and water in a 1:1 ratio.
Step-by-step explanation:
solve this problem, we can follow these steps: Step 1: Determine the current amounts of milk and water in the mixture. The ratio of milk to water in the current mixture is 2:1. Since there are 36 liters of the mixture in total, we can calculate the amounts of milk and water as follows: Amount of milk = (2/3) * 36 = 24 liters Amount of water = (1/3) * 36 = 12 liters Step 2: Determine the new total volume of the mixture. To achieve a 1:1 ratio of milk to water, the total volume of the new mixture will be the sum of the amounts of milk and water, which is 24 + 12 = 36 liters. Step 3: Determine the amount of water to be added. Since we want the ratio of milk to water to be 1:1, the amount of milk and water in the new mixture will be equal. Therefore, we need to add an additional 12 liters of water to the current mixture.
Answer: The equation of the circle is
Step-by-step explanation: We are given to find the equation of a circle with center at (4, 4) and radius 5 units.
The standard equation of a circle with center at (g, h) and radius 'r' units is given by
Here, (g, h) = (4, 4) and r = 5.
Therefore, the equation of the circle is
Thus, the equation of the circle is
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The width of the rectangle with an area x² = 19x + 12 is (4x + 3).
The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle is (length×widh).
Given, A rectangle has an area of 4x² + 19x + 12 and a length of (x + 4).
∴ width of the rectangle is = (4x² + 19x + 12)/(x + 4).
Or, we know that the product of two linear equations is a quadratic so,
4x² + 19x + 12.
4x² + 16x + 3x + 12.
4x(x + 4) + 3(x + 4).
(x + 4)(4x + 3).
So, the width of the rectangle is (4x + 3).
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