36 litres of a mixture contains milk and water in the ratio 2 : 1. how much water is to be added to get a new mixture containing milk and water in the ratio 1 : 1?

Answers

Answer 1
Answer:

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.


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The equation of the circle whose center is at (4,4) and whose radius is 5 is?

Answers

Answer: The equation of the circle is x^2+y^2-8x-8y+7=0.

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

(x-g)^2+(y-h)^2=r^2.

Here, (g, h) = (4, 4) and r = 5.

Therefore, the equation of the circle is

(x-4)^2+(y-4)^2=5^2\n\n\Rightarrow x^2-8x+16+y^2-8y+16=25\n\n\Rightarrow x^2-8x+y^2-8y+32=25\n\n\Rightarrow x^2+y^2-8x-8y+7=0.

Thus, the equation of the circle isx^2+y^2-8x-8y+7=0.

(x – h)² + (y – k)² = r²

Fill in the variables

(x – 4)² + (y – 4)² = 25

Hy! (√2+1)²+(3-√3)²-(√5+1)²=???
Thank yours!:*

Answers

(\sqrt2+1)^2+(3-\sqrt3)^2-(\sqrt5+1)^2=\n2+2\sqrt2+9-6\sqrt3+9-(5+2\sqrt5+1)=\n20+2\sqrt2-6\sqrt3-5-2\sqrt5-1=\n14+2\sqrt2-6\sqrt3-2\sqrt5

How many liters of water should be added to 18 liters of a 14% bleach solution so that the remaining solution contains only 10% bleach?

Answers

How many liters of water should be added to 18 liters of a 14% bleach solution so that the remaining solution contains only 10% bleach?
:
Let w = amt of water required to make a 10% solution
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.14(18) = .10(w+18)

2.52 = .1w + 1.8
2.52 - 1.8 = .1w
.72 = .1w
multiply both sides by 10
7.2 = w
:
7.2 liters of water added

If a salesman sold 6358 books. each book cost $8.00. how much money did he make ?

Answers

8 x 6358 = $50864
hope this helps!
$50864= 6358 x $8
This is the cost of how much money he made.

A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?

Answers

The width of the rectangle with an area x² = 19x + 12 is (4x + 3).

What are the area and perimeter of a rectangle?

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).

learn more about quadratic equations here :

brainly.com/question/17177510

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The answer is (4x + 3) (x + 4)