All Answers 358099 Answers

$$\frac{2}{3}(27y+9)=\frac{2}{3}\times 27y+\frac{2}{3}\times9 =18y+6$$

3x + x = 4x;   14/7 = 2; 38/5 = 7 + 3/5, so we have:

4x + 2 + 7 + 3/5 = 14

4x + 9 + 3/5 = 14

4x = 14 - 9 - 3/5

4x = 4 + 2/5

x = 1 + 1/10

$$x=1\frac{1}{10}$$

x = 11/10

x = 1.1

(Take your pick!)

That's true. It's always good to have a few consistent answers.

No harm in having more than one reply ND!

I see you've answered Alan, but I had to post this because I put like 10 minutes into this LaTeX. :)

$$\begin{array}{l}
12(\frac{x}{6}-\frac{5}{1})+5(\frac{x}{5}+\frac{4}{1})+10=6(\frac{x}{1}-\frac{35}{1})\\\\\mbox{Distribute the 12, 5, and 6 into their parentheses}\\\\
(12\times\frac{x}{6})-(12\times \frac{5}{1})+ (5\times \frac{x}{5})+(5\times \frac{4}{1})+10=(6\times \frac{x}{1})-(6\times\frac{35}{1})\\\\
(\frac{12x}{6}) - (\frac{60}{1}) + (\frac{5x}{5}) + (\frac{20}{1}) + 10 =\frac{6x}{1} - \frac{210}{1}\\\\
(\frac{2x}{1}) - (\frac{60}{1}) + (\frac{x}{1}) + (\frac{20}{1}) + 10 =\frac{6x}{1} - \frac{210}{1}\\\\
\mathbf{2x} -60 + \mathbf{x} +20 + 10 =6x -210\\\\
3x \mathbf{- 60} \mathbf{+ 20} \mathbf{+ 10} = 6x - 210\\\\
3x-30 = 6x - 210\\\\
-30= 3x - 210\\\\
180 = 3x\\\\
60 = x\\\\
x = 60
\end{array}$$

What do you mean by "key factor"?

(5 is a prime number and has no factors other than itself and 1).

Multiplying through to get rid of the brackets this becomes:

2x - 60 + x + 20 + 10 = 6x - 210

or:  3x - 30 = 6x - 210

Add 210 to both sides:

3x + 180 = 6x

Subtract 3x from both sides:

180 = 3x

Divide both sides by 3:

x = 60

How about x = {11, 12, 13, 14, 15, 16, 17, 18, 19}?

Mean

Add up all the numbers and divide by how many there are.

Variance

First find the difference between each number and the mean.  Square each of these differences.  Add up all these squared differences. Divide the result by one less than how many there are (i.e. if you have 8 numbers, then divide by 7).

Standard deviation

This is just the square root of the variance.

Calculator

There is one on the home page of this site.

Let's see you have a go at these and then perhaps someone will check your answers. 

That is good.  This site, (we) are an excellent resource for you. If you use the site well you will get a great deal of benefit from it. 

If we help you to  learn and to enjoy mathematics we will be very happy.  

okay. i appreciate it melody! goodnight...

ok Nataszaa,

I am not trying to be harsh.  Do you have to do them by hand - without using a statistics calculator.  

We need to know what the rules are.  

Here is a page to help you understand what you have to do.

i dont have a calculator. i have no idea how to do these which is why i am posting them!

I think that you asked this question a day or 2 ago Nataszaa.

You must be able to do some of it yourself.

Mean is the same as average - add up all the numbers and divide by how many there are.

Are you expected to find these values using your calculator?  Do you know how to do this?

Would you like someone to help you?  You will need to tell us what model calc you are using.

Try and be specific about what your problems are.  We give our time and knowledge freely to you because we want to help you learn. NOT because we want to do your homework for you.  

i have a small window of time to do these....i am very grateful for any help. if you dont want to answer them then thats no problem...however, i need them done.

whats about the others???

This is the input

10^(-3)

And this is the output

$${{\mathtt{10}}}^{\left(-{\mathtt{3}}\right)} = {\frac{{\mathtt{1}}}{{\mathtt{1\,000}}}} = {\mathtt{0.001}}$$

There are a number of different ways to do a question like this.  Here are some ideas.

Nope I just used snipping tool.

After you "snip" something you can actually edit it a little by highlighting, drawing with pen, and things like that.

I actually wasn't aware of the snipping tool about a month ago. Alan told me about it. :)

Melonie had some melons, and then she got 25 more.

Does this help? :)

Let's have b = current brother's age and s = current sister's age.

The brothers age is twice his sisters age, so we have:

b = 2s

In 6 years, the brothers age will be 5 times his sisters age...as she was 3 years ago.

6 + b = 5(s-3)              ---Now just simplify a little bit

6 + b = 5s - 15

21 + b = 5s

So how we have two equations.

b = 2s 

and

21 + b = 5s

Let's solve this by elimiation. Multiply the first equation by a negative

b = 2s 

-b = -2s

21 + b = 5s          ---Second equation

21 = 3s

7 = s

The sisters age is 7. Let's put in this for s in the first equation and solve for b (which is the brothers age)

b = 2s 

b = 2(7)

b = 14

So the sister is 7 years old and the brother is 14 years old.

Tues 26/8/14

*1) Ninja has been writing a lot of very good posts pertaining to using the web2 calculator.  I think that these need to be kept.  They are very good.   this is an example of 1

We want to solve for d. This means we want d alone on one side.

$$\begin{array}{lc}
\frac{a}{b} =\frac{c}{d}&\qquad\qquad\mbox{Multiply both sides by d}\\
\frac{a}{b}\times d=c&\qquad\qquad\mbox{Multiply both sides by b}\\
a \times d = c \times b&\qquad\qquad\mbox{Divide both sides by a}\\
d = c \times b \div a
\end{array}$$

And that's it!

@@ End of Day Wrap :     Mon 25/8/14    Sydney, Australia      Time 2:15am     (Really Tuesday morning)   ♬

Hi everyone,

Today our great answers were provided by Alan, Heureka, will85237, CPhill, AzizHusain and NinjaDevo.  Thank you all.  

Here are some interesting post for the day:

* 1) Using the web 2 calc for unit conversions. MAYBE this could go in reference material.  

What do you think Ninja. 

Thanks Heureka,

I had forgotten about cosh and sinh