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The answer to the equation is 5

37000(1.019)¹² = about  $46375.86

Let's look at this again

4(x+8)-4=34-2x      distribute the 4 on the left

4x + 32 - 4  = 34 - 2x    simplify

4x + 28 = 34 - 2x        add 2x to both sides and subtract 28 from both sides

6x = 6                         divide both sides by 6

x = 1

First we convert 11/2 to mixed number by dividing 11 by 2 and then adding the remainder as a half:

11 ÷ 2 = 5R1 = 5 1/2. Then we have 5 1/2 + 2. We add 5 + 2 = 7, and leave the 1/2 at the end: 7 1/2

If you c=want a decimal, 1/2 is .5 in decimal, so it becomes 7.5.

Thanks. I just learned that formula a couple of days ago thanks to Geno.

Correct, Tiddle.....

4x+24=34-2x

34-24=4x+2x

10=6x

10/6

x=1 2/3

All you have to do is distribute the -2 by multiplying it by each value.

-2 * 7 = -14

-2 * -a = 2a

So our answer is:

2a - 14

Very nice, Mathematician.......you're gonna' run me out of a job....!!!!

I think it is 31/36. But not sure.

Here's how you simplify:

4x + 2(-3x - 3)

First we distribute the 2 to the -3x and -3, which comes out to:

4x + -6x - 6

Then we subtract -6x from 4x:

-2x - 6

And that is completely simplified.

You mean a sequence that is written like: 3+6+9+12...+600?

This is called an arithmetic sequence.

For this we use an equation, which is n (f + l) / 2

n is the number of terms, f is the first term, and l is the last term.

In this instance, n = 200, f = 3, and l = 600, so our equation is:

$${\frac{{\mathtt{200}}{\mathtt{\,\times\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\mathtt{600}}\right)}{{\mathtt{2}}}}$$

Simplifying, we get:

$${\frac{{\mathtt{200}}{\mathtt{\,\times\,}}\left({\mathtt{603}}\right)}{{\mathtt{2}}}}$$

200 * 603 = 120,600:

$${\frac{{\mathtt{120\,600}}}{{\mathtt{2}}}} = {\mathtt{60\,300}}$$

60,300 is your sum.

There is a way to evaluate this using a log....we have

16777216^2073600      take the log of this

 log 16777216^2073600    which we can write as

2073600  *  log 16777216  =  

This number is about

10^{.1762119523328} x 10^14981179  =   about

1.5 x 10^14981179 

The definition of a Rational Number is "A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio)."

Since 1 can be written into fraction form (i.e. 1/1), it is rational.

Percents are numbers out of a hundred. To convert to fractions, you divide the percent by 100. $${\frac{{\mathtt{70}}}{{\mathtt{100}}}} = {\frac{{\mathtt{7}}}{{\mathtt{10}}}} = {\mathtt{0.7}}$$ Then you multiply because "of" means multiplication. To multiply fractions, you multiply the numerator of the first by the second, and the denominator of the first by the second. $$\left({\frac{{\mathtt{7}}}{{\mathtt{10}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{7}}}{{\mathtt{16}}}}\right)$$

7 * 7 = 49, and 10 * 16 = 160. $${\frac{{\mathtt{49}}}{{\mathtt{160}}}} = {\mathtt{0.306\: \!25}}$$. So your answer is "0.30625 inches."

Looks OK to me......

Thank you. Hopefully I gave a good explanation (and an accurate answer.)

Good job, Mathematician......!!!

Since it is improbable to multiply 16777216 times itself 2073600 times, you need a calculator. The site calculator says: $${{\mathtt{16\,777\,216}}}^{{\mathtt{2\,073\,600}}} \approx \infty$$, because the numbers are so large. Most calculators will tell infinite and that is the closest answer that you can rationally recieve and record.

4 + (-9) = -5

$${\mathtt{15}}{\mathtt{\,\times\,}}{\mathtt{149.2}} = {\mathtt{2\,238}}$$