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4 marbles left.

$$\mbox{You\;are\;going\;finding\;how\;much\;marbles\;he\;gave\;to\;Tom\;and\;Lily.}\\\\5+3=8\\\\\mbox{Now,\;subtract\;the\;8\;marbles\;that\;he\;gave\;to\;Tom\;and\;Lily\;from\;the\;marbles\;that\;Peter\;had.}\\\\12-8=4$$

$$4\mbox{\;So,\;4\;is\;the\;answer.}$$

$$\mbox{Hope\;it\;helps!}$$

So, a moderator can make someone a moderator?

Sorry Dragon. 

I think that you already know that it doesn't work that way :)

Thanks, Melody!

y = 1/3x − 2

−2x + 6y = 18

Let's get the second line in the same form as the first one. So we have..

6y = 2x + 18     .....divide through by 6

y = 1/3x + 3

These lines have the same slope (1/3) but different y intercepts. Thus, they are parallel.

In the kingdom of Camelot we strive for perfection.  I am using a small magical pigeon so I have not given your answer the  consideration it deserves. However, an exact answer be possible in this magical Kingdom :)

Lady Guinevere

Queen of Camelot.

Yes. I enjoy math. 2nd favorite subject.

0.5 mg --> 1 mg = 1 X 10^-6 kg --> 5 X 10^-7 kg

48.5343836 kilograms x .5mg =

48.5343836 kilograms x 5 X 10^-7 kg = 

48.5343836*(5*10^-7) =

0.0000242671918.

"

1. The  sun's circumference is about 2,713,406 miles (4,366,813 km). The total volume of the  sun is 1.4 x 1027 cubic meters. About 1.3 million Earths could fit inside the  sun. The mass of the  sun is 1.989 x 1030 kilograms, about 333,000 times the mass of the Earth."

9-5+17=9-22= -13.

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(1)       2,8,25,50,75,100  Magic number is 431

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$$\left[\frac{75 + 25}{50}+2 \right]*\left[100+8 \right]\Rightarrow$$ For this one, 431/108 is 3.99 but can it be rounded to 4?

$$\left[\frac{100+8}{\frac{75}{2}-25}\right]*50\rightarrow$$ For this one, rats...result is 8.64 after dividing the first part; too bad it can't be 8.62! Does it have to be the exact number or can it be rounded to 8.6...if so, then 431.5!

Tha answer is -8....multiplying the first two terms gives us 2....there is no middle term....and multiplying the last terms gives us -10.

And......... 2 - 10  = -8

EDIT: the "x^5" needs an absolute value most likely since you could get negative values for x and that'll make the simplified form negative!

Thanks, Aziz.....I needed to put the "a" in there to indicate "multiples" or "family"

The "a" is just there like a constant to create variations of the graph.

I have a slightly different way, but it's basically saying the same thing.

$$\begin{array}{l}
435\;is\;15\;percent\;of\;what\;number\\
435=15\;percent\;of\;N\\
435=15\%\;of\;N\\
435=15\%\times N\\
435=0.15\times N\qquad\qquad\mbox{Divide both sides by 0.15}\\
2900=N
\end{array}$$

96.8*$3.19= $308.792.

Use the inverse tanget to calculate this...

tan^-1(4) = x ≈ 76°

Note that this could also be a 76° angle in the 3rd quadrant - ≈ 256° -  since the tangent is also positive there.

EDIT: I added an extra 0 when multiplying...should be 2900 and not 29,000!

tan (theta) = 4

You take tan^-1 or arc tan or "atan" on this website to solve for the angle:

so tan^-1(4) = theta 

theta = 75.963756532074 = ~76 degrees.