chilledz3non

Thanks so much CPhill!

Multiply $1813 by 30% in decimal form, which is 0.30. 

$${\mathtt{1\,813}}{\mathtt{\,\times\,}}{\mathtt{0.3}} = {\frac{{\mathtt{5\,439}}}{{\mathtt{10}}}} = {\mathtt{543.9}}$$

So 30% of 1813 is 543.9 :D

Thanks CPhill!

Thank you Alan!

$${\frac{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{7}}\right)}{\left({\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}} = {\frac{{\mathtt{5}}}{{\mathtt{12}}}}$$

Cross multiply and you will get:

$$12x-84=45x$$

After you get the above just solve for x:

$$-84=33x$$

$$x=-2.5454545454545455$$

So your answer is x=-2.5454545454545455. You can simply that down further to a number like -2.55. 

This video pretty much sums it up. 

Thank you!

According to Google's conversion chart, 5280 feet. 

On the web2.0calc calculator put it in as: log(16, 3) 

The result should give you:  $${{log}}_{{\mathtt{3}}}{\left({\mathtt{16}}\right)}$$

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The  answer above is correct as well.

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{60}}^\circ\right)} = {\frac{{\mathtt{x}}}{{\mathtt{12}}}}$$

$${\mathtt{12}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{60}}^\circ\right)} = {\mathtt{x}}$$

$${\mathtt{6}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}} = {\mathtt{x}}$$

If you want to check the solution, refer back to the unit circle. $$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{60}}^\circ\right)}$$ on the unit circle is  $${\frac{{\sqrt{{\mathtt{3}}}}}{{\mathtt{2}}}}$$ .  When you put  $${\mathtt{6}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}$$  in place of x for the  $${\frac{{\mathtt{x}}}{{\mathtt{12}}}}$$ , you get  $${\frac{\left({\mathtt{6}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}\right)}{{\mathtt{12}}}}$$ . Simplify that number further and you get  $${\frac{{\sqrt{{\mathtt{3}}}}}{{\mathtt{2}}}}$$ .