Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Step-by-step explanation:

[tex] \\ {5400} \div 300000[/tex]

[tex] \\ = \frac{5400}{300000} [/tex]

[tex] \\ = \frac{ \cancel{5400}}{ \cancel{300000}} [/tex]

[tex] \\ = \frac{9}{500} [/tex]

[tex] \\ = 0.018[/tex]

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( a + bi )²   be equation (1)

On simplifying the equation , we get

A = ( a )² + ( ib )² + 2iab

Now , the value of i² = -1

A = a² + i²b² + 2iab

Substituting the value of i in the equation , we get

A = a² - b² + 2iab

Now , the value of ( a² - b² ) = ( a + b ) ( a - b )

Substituting the values in the equation , we get

A = ( a + b ) ( a - b ) + 2iab

Therefore , the value of A is ( a + b ) ( a - b ) + 2iab

Hence , the equation is ( a + b ) ( a - b ) + 2abi

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Using the given percentage, it is found that there is a 0.877 = 87.7% probability that it arrives on time.

In this question, over a large number of flights, 87.7% arrive on time in Atlanta. Hence, there is a 0.877 = 87.7% probability that it arrives on time.

For more on probabilities, you can check https://brainly.com/question/15536019

Answer:

[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

Step-by-step explanation:

[tex]\sf 6a^2 + 10 = 0[/tex]

We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]

[tex]\sf 6a^2 + 10 = 0[/tex]

Substitute 6: a, 0: b, 10: c

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]

→ Square 0

→ Multiply -4 * 6= -24

→ Multiply -24 * 10 = -240

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]

→ Take the square root of -240:

→ Multiply 2 * 6= 12

Now, Separate solutions:

[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]

Now, Separate solutions:

First, solve the equation when ± is plus:

[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

___

Now, solve it when ± is minus:

[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

__________________________________________

[tex]\sf\longmapsto 6a^2+10=0[/tex]

[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)

[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]

[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]

[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]

i stands for iota.

[tex]\sf\longmapsto i=\sqrt{-1}[/tex]

Answer:

C. Two smaller atoms come together to form a larger atom that is a different element.

Explanation:

Fusion is a reaction in which two nuclei combine to form a nucleus with the release of energy.

Algebraic inequalities can be solved in the same way in which algebraic equations are solved.

Answer:

i can't see the photo

Step-by-step explanation:

pleas send it again

Answer:

Step-by-step explanation:

f(x) = 3-x/5

Explanation:

The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in an equation

y=3x -5

turns into

x = 3y+5

Then solve the equation for y

x=3 y- 5

x+5 = 3y

the divide all by three

1/3x + 5/3 =y

f ( x ) − 1 = 3/1 x + 5/3

Answer:

379 : 62

Step-by-step explanation:

Let’s gather the info from the problem.

1580 adults and children on a ship.

60% of them are adults.

percentage of adults and students remaining on the ship decreases by 20%

60% of 1580 is 948 so there are 948 adults onboard

leaving the remaining children which is 632

948 Adults

632 Children

Adults decreases by 20% so 758 adults

Children decreases by 20% so 124 children

the ratio is 758:124 simplified would be 379 : 62

Answer:

(x, y) = (-2, -6)

Step-by-step explanation:

Learn more at https://brainly.com/question/15168004

Answer: 8

Step-by-step explanation: 8 * 5 = 40

The rest don't work.

Would appreciate brainliest <3

Answer:

8

Step-by-step explanation:

You can do 8 *5

Answer:

D) 13.7

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

Answer:

The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht

Recall:

Pythagorean Theorem applies to a right triangle where and c is the hypotenuse.

If we know the two of the three side lengths of a right triangle, we can find the other third length.

An example of a scenario where the Pythagorean Theorem can be applied to solve a real-world problem can be sketch in a diagram

Therefore:

The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht

Step-by-step explanation:

#Nova

Have a good day

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

Answer:

100,000 × 1,000,000 = 1.E11

Answer:

100000000000

Step-by-step explanation:

Answer:

x(3+14)

Step-by-step explanation:

That is how you would write that expression.

Answer: The answer is $254.15

Answer:Vented Brake Rotors are common on most modern vehicles. They have a hollow channel between the inner and outer surfaces. This channel (or vent) allows the rotor to shed more heat. This helps to prevent Brake Fade

Step-by-step explanation:

Answer:

Here it is. The table is on the first one at the bottom.

Step-by-step explanation:

Answer:

78/5

Step-by-step explanation:

1/5 5x + 12 = 18

Answer:

x2-4

Step-by-step explanation:

got it right

Answer:

The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

Solution :

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

Therefore the cost of 1 knife = 5.52

Step-by-step explanation:  [tex]1.84 x 3 = 5.52[/tex]

Answer:

The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds

Answer:

B. 17/102,27/108 do not for proportion

The amount of meat that is to be added to each sandwich is expressed as a fraction of a unit mass of one pound.

First part

Second part

Reasons:

The amount of roast beef = 2  and 3/4 lb

The amount of turkey = 1 and 7/8 pounds

The quantity of salami = 2 1/16 pounds

The amount of meat that goes with a sandwich = 1/4 pounds

[tex]\displaystyle Sandwiches \ with \ roast \ beef = \mathbf{\frac{2 + \frac{3}{4} }{\frac{1}{4} }} = 11[/tex]

The number of roast beef sandwiches that can be made = 11 sandwiches

[tex]\displaystyle Sandwiches \ with \ turkey =\frac{1 + \frac{7}{8} }{\frac{1}{4} } = \mathbf{7.5}[/tex]

The number of turkey sandwiches that can be made = 7 sandwiches

[tex]\displaystyle Sandwiches \ with \ salami = \frac{2 + \frac{1}{16} }{\frac{1}{4} } = \mathbf{8.25}[/tex]

The number of salami sandwiches that can be made = 8 sandwiches

The total number of whole sandwiches = 11 + 7 + 8 = 26

The total number of whole sandwiches that can be made = 26 sandwiches

The amount of each meat left is given by the product of the fraction of a sandwich made by the meat and [tex]\displaystyle \mathbf{\frac{1}{4}}[/tex]

Therefore;

The amount of roast beef left = 0 × [tex]\displaystyle \frac{1}{4}[/tex] = 0

[tex]\displaystyle The \ amount \ of \ turkey \ left = 0.5 \ lb \times \frac{1}{4} = \underline{0.125\ lb}[/tex]

[tex]\displaystyle The \ amount \ of \ salami\ left = 0.25 \ lb \times \frac{1}{4} = \underline{0.0625 \ lb}[/tex]

Learn more about fractions here:

https://brainly.com/question/14297620

Answer:

(700-42-56)

Step-by-step explanation:

10-x

5-y

4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y

Answer:

x = 7°

Step-by-step explanation:

∠WST is an exterior angle of the triangle

The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles

Solve:

(5x - 1) + (57) = (12x + 7)

5x - 1 = 12x - 50

-1 = 7x - 50

49 = 7x

x = 7

-Chetan K

Answer:

C.

Step-by-step explanation:

Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5