Melody

The question i have is that to make a drink you need a ratio (3:1) of juice to water.

If ou wanna make 1200 ml how much juice do yu need??? 

9-9 sin^2 x become 9(1-sin^2 x)

hopefully your are comfortable with this:

9-9y

= 9*1-9*y

=9(1-y)

I have factored out the 9    

Ok now lets look at yours

$$\\9-9 sin^2 x\\\\
=\textcolor[rgb]{0,0,1}{9}*1-\textcolor[rgb]{0,0,1}{9}*sin^2 x\\\\
=\textcolor[rgb]{0,0,1}{9}(1-sin^2 x)
\textcolor[rgb]{0,0,1}{}$$

Again I have factored out the 9   :))

$${\frac{\left({{\mathtt{6}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{{\mathtt{4}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{{\mathtt{8}}}^{{\mathtt{2}}}\right)}{{\mathtt{\,-\,}}\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{8}}\right)}} = {\frac{{\mathtt{11}}}{{\mathtt{16}}}} = {\mathtt{0.687\: \!5}}$$

Thanks Chris,

This is what I would do with this question.

$$\\36 \le 1-5z>-21\\
$subtract 1 throughout$\\
35 \le -5z>-22\\
$divide throughout by -5 but you will have to turn the signs around$\\
-7 \ge z<-4.4\\
$now I will separate them because this really doesn't make much sense.$\\
-7\ge z \qquad and \qquad z<-4.4\\
z\le -7 \qquad and \qquad z<-4.4\\
so\\
Z\le -7$$

This original line  $$\\36 \le 1-5z>-21\\$$     IS NOT normal or good presentation.

It should have been presented as 

$$\\36 \le 1-5z \qquad and \qquad 1-5z >-21\\$$

In Australia I would call it an interval but line segment sounds best out of those answers.

There is no question here   

Take a look at this   :)

I am not sure what you mean?

perhaps

whats 0.667 x 10's exponential form

$$\\10^x=6.67\\
x=log(6.67)\\
x=0.824125833\\
so\\
6.67=10^{0.824125833}$$

$$\\\frac{4x}{9}\le -27$$

multiply both sides by  9/4