All Answers 358514 Answers

$$16\frac{2}{3}\%\;of\;150=25$$

25 wombats have fleas or ticks or both.

The frizzy headed vet (who i have called Lizzy) should have just got the guys to give the wombats a flea and tick bath in the first place and then they would not have needed to count them at all.

This vet is nicknamed Dizzy Frizzy Lizzy.        I wonder how she got that pet name.  

11 have only flea

5 have only ticks

9 have both

and hopefully you dont become a terrible driver like my dad is

Sure looks like it.   Thanks anon :)

Thanks Chris :)

$$\\\frac{3(x^2-2x-8)}{3x^2}+2x-8\\\\
\frac{3x^2-6x-24}{3x^2}+\frac{3x^2(2x-8)}{3x^2}\\\\
\frac{3x^2-6x-24}{3x^2}+\frac{6x^3-24x^2}{3x^2}\\\\
\frac{6x^3-21x^2-6x-24}{3x^2}\\\\
\frac{2x^3-7x^2-2x-8}{x^2}\\\\$$

Hello Anonymous,

$${\mathtt{A}} = {\frac{{\mathtt{g}}{\mathtt{\,\times\,}}{\mathtt{h}}}{{\mathtt{2}}}}$$

Look here:

Nice pic, Melody......

This is a dilation set about (0,0)

5.50/39 = x/33    cross-multiply

(33)(5.50)/39 = x  = about 4.65

Melody is correct......there will be infinite solutions for this......this will happen with more variables than equations.....

inverse tan is the same as arc tan.

[2nd][atan] number

$$\\(16y^6)^{1/2}\\
=\sqrt{16y^6}\\
=\sqrt{16}*\sqrt{y^6}\\
=4y^3$$

First the surface are must be in square units.    

l*b*h=750   (1)

2(lb+lh+bh)=2600

lb+lh+bh=1300

I do not think that you can solve this because 3 unknowns usually needs 3 equations to solve.

$$\underset{\,\,\,\,{\textcolor[rgb]{0.66,0.66,0.66}{\rightarrow {\mathtt{lbh, lb, lh, bh}}}}}{{solve}}{\left(\begin{array}{l}{\mathtt{Lbh}}={\mathtt{750}}\\
{\mathtt{Lb}}{\mathtt{\,\small\textbf+\,}}{\mathtt{Lh}}{\mathtt{\,\small\textbf+\,}}{\mathtt{bh}}={\mathtt{1\,300}}\end{array}\right)} \Rightarrow \left\{ \begin{array}{l}{\mathtt{lbh}} = {\mathtt{750}}\\
{\mathtt{lb}} = {\mathtt{\,-\,}}{\mathtt{r20}}{\mathtt{\,-\,}}{\mathtt{r19}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1\,300}}\\
{\mathtt{lh}} = {\mathtt{r20}}\\
{\mathtt{bh}} = {\mathtt{r19}}\\
\end{array} \right\}$$

I have no idea what thid calculator has done   

The meaning of this question is not clear at all  

$$\\5.00*10^{-4}t^2+0.20t+40=30\\\\
\frac{5}{10^{4}}t^2+0.20t+40=30\\\\
t^2+0.04*10^{4}t+8*10^{4}=6*10^{4}\\\\
t^2+400t+80000=60000\\\\
t^2+400t+20000=0\\\\$$

$${{\mathtt{t}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{400}}{\mathtt{\,\times\,}}{\mathtt{t}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20\,000}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = {\mathtt{\,-\,}}{\mathtt{25}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{\left({\frac{{\mathtt{5}}}{{\mathtt{2}}}}\right)}{\mathtt{\,-\,}}{\mathtt{200}}\\
{\mathtt{t}} = {\mathtt{25}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{\left({\frac{{\mathtt{5}}}{{\mathtt{2}}}}\right)}{\mathtt{\,-\,}}{\mathtt{200}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = -{\mathtt{341.421\: \!356\: \!237\: \!309\: \!504\: \!9}}\\
{\mathtt{t}} = -{\mathtt{58.578\: \!643\: \!762\: \!690\: \!495\: \!1}}\\
\end{array} \right\}$$

If sin(theta)=3/5 and tan is less than theta, what is the value of sec(2theta)

I have no idea what "tan is less than theta" even  means 

BUT

  $$\\If\qquad sin\theta=\frac{3}{5}=0.6 \qquad then \qquad cos\theta=\pm \frac{4}{5}=0.8\\\\
sec2\theta \\\\
= \frac{1}{cos2\theta}\\\\
= \frac{1}{cos^2\theta - sin^2 \theta}\\\\
= \frac{1}{0.64 - 0.36}\\\\
= \frac{1}{0.28}\\\\
= \frac{100}{28}\\\\$$

$${\frac{{\mathtt{100}}}{{\mathtt{28}}}} = {\frac{{\mathtt{25}}}{{\mathtt{7}}}} = {\mathtt{3.571\: \!428\: \!571\: \!428\: \!571\: \!4}}$$

Yes you answered first Titanium but your answer was wrong!

Nice answer DarkBlaze347    

$$0.2 \div 240$$

$${\frac{{\mathtt{0.2}}}{{\mathtt{240}}}} = {\frac{{\mathtt{1}}}{{\mathtt{1\,200}}}} = {\mathtt{0.000\: \!833\: \!333\: \!333\: \!333\: \!3}}$$

Here are some ideas that I just copied from our "reference Material " sticky topic       

HOMEWORK SITES 

Review on Mathopolis homework site

Good to hear that MrTin! But my people are away better!

they live for their leader! They can't take a bit of hurt to me! When I nail bite and I throw the bitten long nail to the ground then my chief appears and he says " my queen, everything of yours is important pls don't throw this precious nail to the harsh ground ! It shall be an honour for everyone to see in the national museum!"

see that! Yeah, that's also done for all my broken hair! 

*standing face to face*

me: hello mr.tin , our land is ours and it would be unfair to let an unknown rule rule it! I am its ruler and also it's guide ! I command you to go back to space because currently we re making our most powerful robotic machine and after its finished we shall k**l you in space as we can't destroy our developed world! So this is a warning better get lost!

tin: I am going right now but my soldiers will keep attacking your earth continuously . Let's see how long you are up sometime or the other you will fall!

Me:I am the leader of the best ranger team , I shall serve the earth till the last day! Now see you never bye!

tin,me*going*

*turning back*me: oh and btw pls pay the warning bill , if you hadn't been shouting out here " we are the Romans we are the rulers" you wouldn't have broken the rule saying " everything lies in the hands of red ranger" so that is The biggest rule , now pay your 1.5 million amount to the receptionist! And btw if you need a bank just go straight turn left then go straight 10m then turn right and straight 20m and there you will see a bank!

as you are from Ancient Rome just for you we can accept gold as you may not know how to use a bank!

and so this is how the various battles for which was we thank our rangers started ! 

Good luck! Hope you turn to be the best driver! Just like my father 

Fructose: 38.5% of 1kg = 385g

Glucose:  31.0% of 1kg = 310g

$$\frac{5}{8}-\frac{1}{2}$$  (To subtract make the denominators the same)

$$\frac{5}{8}-\frac{4}{8}$$

$$\frac{(5-4)}{8}$$

$$\frac{1}{8}$$

Impossible......the only way we can get an even number from adding odds is if there are an even number of them......but seven is not an even number........