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I guess I forgot to answer your question:  Why?

If you multiplied both the numerator and the denominator of the fraction by 100,

the numerator becomes  360         and the denominator becomes  9.

Now, you have 360 ÷ 9, which is 40.

Does this help? 

3.6 ÷ 0.09  is indeed  40

Usually, as well as I'm treating it!

(4.8 x (-0.5) - 3.6 ) + 4 - 4 / (-2 + 2.4)

Do what is inside parentheses first.                Multiply 4.8 x -0.5:  = -2.4

(-2.4 - 3.6 ) + 4 - 4 / (-2 + 2.4)

Next add -2.4 and -3.6  =  -6.0

-6.0 + 4 - 4 / (-2 + 2.4)

Next, work inside the parentheses and add -2 + 2.4  =  0.4

-6 + 4 - 4 / .4

You must do multiplication and division before you do additions and subtractions                                           so you need to solve  - 4 / .4  =  -10

-6 + 4 - 10

-2 - 10  =  -12

I think 16 is a nice number because its an even number (i hate odd numbers) and because im 16 years old:)

-(-9p - 4 + 4/3)  can be simplified to:  + p + 4 - 4/3

The problem now is:  8/3  =  7p/4  + p + 4 - 4/3

To get rid of fractions, multiply each term by 12, the lowest common denominator:

                32  =  21p + 12p + 48 - 16                          

Simplify:   32  =  33p + 32  

Subtract  32  from both sides:

                 0  =  33p

                 p  =  0                                  

Since - (-5)  =  +5:

3 + (-2) + 5  =  8 - 2  =  6

Enter that expression into a calculator.  My calculator has for an answer:  1.41... E18

The  E18  means that in scientific notation the answer is  1.41 x 10^18.

Although there are more digits in the answer, since  3.14  and  695000  each has only  3  significant digits, the answer should be rounded to three significant digits, also.

First, find the amount of increase:    21,200,000 - 3,100,000  =  18,100,000

Next, compare that to what you started with by dividing the amount of increase by the original number:

                                   18,100,000 ÷ 3,100,000  =  5.84 (approximately)

Finally, change that decimal answer into a percentage answer by multiplying by 100:

                                              5.84 x 100  =  584%  (approximately)

Go on youtube and type in how to do fractions. There are alot of great videos on how to do them.

Is your missing angle in a triangle?

If so, is it a right triangle, or just any kind of triangle?

And, what parts of the triangle do you know?

If you post back with more information, we can help.

Let  n  represent the number of pop cans.

  .10 x n  =  the amount of money that those cans are worth

If you want to earn  $30.00,  use this equation:  .10n  = 30.00

Solve by dividing both sides by  .10:                       n  =  30.00 ÷ .10      

                                                                            n  =  300

thank you so much that really helped me out, i cant tell you how much clearer it is now

What's the problem?

I am assuming that when you entered  x1/2  you meant  x^(1/2)  which is  √x.

I futher assume that the  2  at the end meant  ².

-2(√x·y)²  =  -2(√x·y)·(√x·y)  -2·(√x·√x)·(y·y)     (Since you can rearrange when you multiply)

    -2 · x · y²    =    -2xy² 

If my assumptions are wrong, please repost.

A calculator will give you a decimal approximation:  5.5 x 10^11.

If you need an exact answer:  rewrite  8  as  2³

Then  8  to the power of  10  becomes  (2³)^10  =  2^30         (multiply exponent times exponent.

Now you have:  [2^30 / 2] x 2^10

   2^30 / 2  becomes  2^29      (subtrating exponents)

and  2^29 x 2^10  =  2^39      (adding exponenst)

Nice, so my steps in answer must be like this? 

Also why we choose pi/2?  Why not  3pi/2 

Use FOIL (first, outside, inside, last):                       (and adding them together)

  First:       (4x)(4x)

  Outside:  (4x)(-10)

  Inside:    (-10)(4x)

  Last:       (-10)(-10)

(4x - 10)(4x - 10)  =  (4x)(4x) + (4x)(-10) + (-10)(4x) + (-10)(-10)

                            =  16x² - 40x -40x + 100

                            =  16x² - 80x + 100

If you want  (.79)^6  enter this into a calculator this way; your answer should be close to .24.

If the problem is  (x^-3)^5:

Since you have a power (-3) to a power (5), multiply the exponents together:  -3 x 5  =  -15,

so the answer is:  x^-15.

If you mean something else please post back.

This is  invCos(60/76).

On most calculators, use (2nd) cos(60/76).

On my calculator, I got  37.86...°

If you send a problem, then we can show how to complete the square.

Since  x = 4,  you will need to replace  x  with  4  every place that you have an  x.

     f(4)  =  -4² +3·4 - 2

    f(4)  =  -16 + 12 - 2

    f(4)  =  -6

Notice what I was evaluating when I wrote that.......it was...... tan(y) = x

And as x approaches infinity, y approaches pi/2.

If x just approaches pi/2, then y just approaches about 1. (in radians).

Graph the tangent inverse function......you will see that as x approaches infinity, y approaches pi/2 ... and as x approaches negative infinity, y approaches -pi/2.

We could evaluate this using the Quadratic Formula, but it's probably easier to use the onsite solver........

$${\mathtt{12.3}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{44.7}}^\circ\right)}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,\times\,}}{\mathtt{9.81}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1.83}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{2}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{84\,050}}{\mathtt{\,\times\,}}{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{2\pi}}}{{sin}}{\left({\frac{{\mathtt{149}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{600}}}}\right)}}^{\,{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{19\,947}}}}{\mathtt{\,-\,}}{\mathtt{410}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{2\pi}}}{{sin}}{\left({\frac{{\mathtt{149}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{600}}}}\right)}\right)}{{\mathtt{327}}}}\\
{\mathtt{x}} = {\frac{\left({\sqrt{{\mathtt{2}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{84\,050}}{\mathtt{\,\times\,}}{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{2\pi}}}{{sin}}{\left({\frac{{\mathtt{149}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{600}}}}\right)}}^{\,{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{19\,947}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{410}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{2\pi}}}{{sin}}{\left({\frac{{\mathtt{149}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{600}}}}\right)}\right)}{{\mathtt{327}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{0.190\: \!864\: \!654\: \!893\: \!045\: \!6}}\\
{\mathtt{x}} = {\mathtt{1.954\: \!729\: \!047\: \!263\: \!137\: \!3}}\\
\end{array} \right\}$$