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Let C be the total capacity.

C/6 + 2 = C/3

Multiply everything by 6

C + 12 = 2C

Can you continue from here?

Hi Guest!
Hint: 

\(a^3+b^3=(a+b)(a^2+b^2-ab)=(a+b)((a+b)^2-2ab-ab)=(a+b)((a+b)^2-3ab)\)

Thus, \(a^3+b^3=14((14)^2-3ab)=14(196-3ab)\)

So: 
\(\text{Given: }a^3+b^3 =812+ab \\ \implies 14(196-3ab)=812+ab\)

Now try to solve it from here :)

I hope this helps 

Here is one answer from Heureka

factor(25^2+72^2+85^2) = (2*7^3)*19

So 19 is the biggest prime.

I suppose you are supposed to do it some other way.

When you know how you can show us. 

How many y-intercepts does the graph of the parabola x = -y^2 + 4y - 4 - 2y + 7 have?  

TWO

Copy the equation and plug it in to https://www.desmos.com/calculator   

and see for yourself that there are 2 y-intercepts.   

_.

okay.

You could have easily worked out the graphically solution from my first pic.  Did you think about it?

It always is a good idea to think before racing in.

45-13 = 32

Hi melody, sorry but that's incorrect we are actually trying to find the measure of RAC, not RAQ.

Find the answer at  https://web2.0calc.com/questions/help-geometry_19961   

Students, don't believe these trolls who just pull an answer out of their ,,, ahem ,,, hat and post it. 

I believe their intention is to trick you into falling for their lies, to get you in trouble with your teacher. 

My recommendation is not to believe anything unless the poster shows how s/he obtained the answer. 

On Friday night, Janyia ate pizza for dinner and had ½ of the pizza left over.  

On Saturday, she ate ¼ of what was left.  

How much pizza did Janyia eat on that Saturday?  

(1 / 4) of (1 / 2)  =  (1 / 4) • (1 / 2)  =  (1 / 8) of a pizza Janyia ate on Saturday  

If the pizza was pie-cut into 8 slices, Janyia ate 4 slices on Friday. 

That left the other 4 slices, left over until Saturday.  

On Saturday Janyia ate 1/4 of what was left, i.e., 1 slice. 

That 1 slice was 1/8 of the whole pizza. 

When they cut a pizza into squares, it's called party-cut.  I hate that. 

_.
 

that every math problem was solved by trial and error.  

Sometimes that's the only way possible .... especially for yours truly.    

The trial & error method is akin to the "brute force" method, 

which sort of means that you try everything then pick out the right one.  

_.

a)   |5| - 7  =  5 – 7  =  –2  

b)   |5 - 7|  =  |– 2|  =  2  

_.

\(a(b+c-5)=7 \rightarrow ab+ac-5a=7 \dots(1) \\ b(a+c-5)=7 \rightarrow ab+bc-5b =7 \dots (2)\\ (1) - (2) \rightarrow ac-bc-5a+5b=0,\\ c(a-b)-5(a-b)=0,\\ (a-b)(c-5) =0,\\ a=b, \text{ or }c=5.\)

Now check the consequences of each one. There are multiple solutions.

Ignore the local idiot responsible for #1.

Please proofread your question.

Are we supposed to have a value for angle B ? 

Anyway, I draw it to scale and have convinced myself that the answer is 13 degrees.

You need to work out why of course

400,000 / 25,000 = 16 - 1 x  100 = 1,500% - increase in price from 1968 to 2004.

count the zeros and that will be your answer.