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amm1812
2 years ago
8

Neo mixes 600ml of black paint with white paint in order to get grey paint. He thinks the colour came out too dark, so he decrea

ses the amount of black paint in the ratio 7:12. Calculate how much black paint it would be.​
Mathematics
1 answer:
butalik [34]2 years ago
4 0

Answer:

the black paint is of 200 ml

Step-by-step explanation:

first he wanted grey paint by mixing 600 ml of both colour so he reduced black paint by 7:12 ratio an we get difference of 3 with that ratio so dividing 600 by 3 and we get amount of blacl paint removed

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Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
2 years ago
Evaluate the following expression for: x= -2, y=4, z=-3<br><br> 4(2x+y)-2y+z
otez555 [7]

- - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - --  -- - - - - - - -

\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3

\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}

Before inserting the values of the variables, I recommend writing the equation in its simplest form.

First, use the distributive property and distribute 4:-

8x+4y-2y+z

Simplifying,

8x+2y+z

Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.

First, write -2 in lieu of x:-

8(-2)+2y+z

-16+2y+z

Now, write 4 in lieu of y:-

-16+2(4)+z

-16+8+z

-8+z

Final step:-

write -3 in lieu of z:-

-8+(-3)

-8-3

-11

<h3>Good luck.</h3>

     - - - - ---- - - - - - - -- --- - ---  - - - -- -  - - - --  --  - -- - - - - - - - - - - - - - - - - - --

7 0
2 years ago
If you place a 5-foot ladder against the top of a 4-foot building, how many feet will the
Maksim231197 [3]

What are your options for the questions.

5 0
3 years ago
Read 2 more answers
Ernesto solves the equation below by first squaring both sides of the equation. \sqrt{\dfrac{1}{2}w+8}=-2 2 1 ​ w+8 ​ =−2square
algol [13]

Answer:

<h2>w = -8</h2>

Step-by-step explanation:

Given the equation solved by Ernesto expressed as \sqrt{\dfrac{1}{2}w+8}=-2, the extraneous solution obtained by Ernesto is shown below;

\sqrt{\dfrac{1}{2}w+8}=-2\\\\square\ both \ sides \ of \ the \ equation\\(\sqrt{\dfrac{1}{2}w+8})^2=(-2)^2\\\\\dfrac{1}{2}w+8 = 4\\\\Subtract \ 8 \ from \ both \ sides\\\\\dfrac{1}{2}w+8 - 8= 4- 8\\\\\dfrac{1}{2}w= -4\\\\multiply \ both \ sides \ by \ 2\\\\\dfrac{1}{2}w*2= -4*2\\\\w = -8

Hence, the extraneous solution that Ernesto obtained is w = -8

4 0
3 years ago
A boogie board that has a regular price of $6. If the sales tax on the boogie board is 7%, what is the total cost of the board?
zavuch27 [327]

Answer:

6.42$

Step-by-step explanation:

6.00 divided by 100 equals 0.6 multiplied by 7 equals 0.42 so the sales tax is 0.42 cents and the total is 6.42$

7 0
3 years ago
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