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2 divided by 4/5

SKIP 1st term, CHANGE division to multiplication, & FLIP 2nd term

2 * 5/4

10/4

Simplify --> 10/4 = 5/2.

Rational, integer, and whole!

1 divided by x equals 60.

1/x = 60

1 = 60x

x = 1/60.

There are 12 inches ina foot so......

3.28 * 12 = 39.36 inches

Sure thing, I'll add that.

He has 50 marbels made up of the colors green, blue, and red. Let's have r = red marbles, b = blue marbles, and g = green marbels.

This means:

r + b + g = 50

He has 6 more red marbels than blue marbels. This mean r = b+6, right? Let's put this in for r.

r + b + g = 50

(b+6) + b + g = 50

He has 4 fewer green marbles than blue marbels, so g = b-4. Let's put that in.

(b+6) + b + g = 50

(b+6) + b + (b-4) = 50

And now we just solve for b, which tells us the number of blue marbels.

(b+6) + b + (b-4) = 50

b + 6 + b  + b - 4 = 50

b + b + b + 2 = 50

3b + 2 = 50

     - 2    - 2

-------------

3b = 48

÷3    ÷3

------------

b = 16

So there are 16 blue marbels.

1 - sin(x)^2  factors as a difference of two squares thusly....(1 + sin(x)) (1 - sin(x))

So we have.....

[(1 + sin(x)) (1 - sin(x))] / (1 + sin(x))  =  1 - sin(x)

Thanks for that detailed explanation, ND.........this is something that gives a lot of students trouble!!!!

Maybe you should add this to "Great AnswersTo Learn From".......just a suggestion......

√(27) =√(9*3)= √9* √3 = 3√3

First, if x = 7 and y = 3, you couldn't have a resultant of 8. The resultant would be √(7² + 3²) = √ (49 + 9) = √(58)

To find theta, use the tangent inverse. So we have tan^-1 (3/7)  ≈ 23.2°

Consider the example (-3)²

This is really saying (-3) x (-3) = (-(-9)) = (9)

This only works for even exponets though. I'll show you with the example (-2)³

This is really saying (-2) x (-2) x (-2) = (-(-4)) x (-2) = (-(-(-8))) = (-8)

If you don't have parentheses, your basically imagining that there are parentheses after the negative sign. So, say you had -4²

In your head your thinking -(4²) = -(4 x 4) = -(16) = -16

Does this help you out at all?

First we have to make sure that the denominators (bottom numbers of the fractions) are the same. They are so we can now continue.

Subtracting a negative is really the same thing as adding a positive. Negatives will switch the direction you go on a number line, so subtracting a negative will make you go to the right on a number line, thus making you add that number.

$$$\frac{-330}{72} - (\frac{-216}{72})$\\\\
This is really:\\\\
$\frac{-330}{72} + (\frac{+216}{72})$\\\\
Now we can add the top numbers \\\\
$\frac{-330 + 216}{72}\\\\
\frac{-114}{72}\\\\
-1\frac{42}{72}$\\\\
Reduce by dividing the top and bottom of the fracion by 6\\\\
$-1\frac{7}{12}$\\\\
And that's it!$$

In order, they would be:

-4.45 min, -1.8 min, -(1 + 2/3) min, -1.375 min

$$We have to start with subtracting 5 from both sides. We don't multiply both sides by 2 first, because that is associated with y. Think of it being tied to y, and we have to get rid of everything else before we can untie that.\\
So, we have:\\\\
$\frac{y}{2}+5=-12$\qquad \qquad Subract 5 from both sides\\\\
$\frac{y}{2}=-12-5$\\\\
$\frac{y}{2}=-17$\qquad \qquad Multiply both sides by 2\\\\
$y = -17 \times 2\\\\
y = -34$$

A fuction....call it  y = f(x)..... reflected about the y axis has the form, y = f(-x).

So, if y= f(x) = (1/2)x + 8, then the reflected function is  y = f(-x) = (-1/2)x + 8.

what is the answer because i dont know

Never mind Chris I gave you points anyway lol

I am quite enjoying the two of us answering questions with different approaches.

It opens up horizons. 

Ah...Melody beat me to it.....rats!!!!!!

There is a "formula" for this. But notice when we add the first number, 1, and the last number, 100, we get 101. And addnig the next-to-the-last number, 99, and the second number, 2, we also get 101. And, continuing in this manner, we have 50 pairs of numbers that each add to 101. Therefore, 50 * 101 = 5050.

You can think of it like this

0,    1,   2,  ......................49

100,99,98,........................51

--------------------------------add

100+100+100..................100 ,    The only missing number is 50

So answer must be 100*50+50=5050

Negative degrees North (?)...I thought only negatives were for west and south.

Basically, you would either have negative longitude for west and negative latitude for south.

Thank you really helpful and explained a lot

i means it is an imaginary number. i = sqrt(-1).

And your equation is already simplified, you can't go any further than that. You're good.

$$\left({\frac{{\mathtt{h}}}{{\mathtt{12}}}}\right){\mathtt{\,-\,}}{\mathtt{5}} = -{\mathtt{17}}$$

$$\left({\frac{{\mathtt{h}}}{{\mathtt{12}}}}\right){\mathtt{\,-\,}}{\frac{{\mathtt{5}}}{{\mathtt{1}}}} = {\mathtt{\,-\,}}{\frac{{\mathtt{17}}}{{\mathtt{1}}}}$$

$${\frac{{\mathtt{12}}{h}}{{\mathtt{12}}}}{\mathtt{\,-\,}}{\mathtt{60}} = -{\mathtt{204}}$$

$${\mathtt{h}}{\mathtt{\,-\,}}{\mathtt{60}} = -{\mathtt{204}}$$

$${\mathtt{h}} = -{\mathtt{144}}$$

$$\left({\mathtt{58}}{\mathtt{\,\times\,}}{\mathtt{42}}\right) = {\mathtt{2\,436}}{\mathtt{\,-\,}}{\mathtt{46}} = {\mathtt{2\,390}}$$