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I think we have 

     3

______

4  + 6N

can you show me the correct way to write it please

Nice spot....!!!   ......It is not a coincindence......

The area will always be maximized when each side of a rectangle is equal.....thus, the rectangle is a square!!!.......and it is produced when each side =   Perimeter/ 4 

In question form:

1.

intend to convey, indicate, or refer to (a particular thing or notion); signify.

"I don't know what you mean"

synonyms: signify, convey, denote, designate, indicate, connote, show, express, spell out; More

2.

intend (something) to occur or be the case.

"they mean no harm"

synonyms: intend, aim, plan, design, have in mind, contemplate, purpose, propose, set out, aspire, desire, want, wish, expect

"she didn't mean to break it"

In behavior form:

1. The intent to be cruel, evil, not nice.

In math form:

1. The average of a number or a set of numbers.

You got it backwards !!

Is it just a coincidence that 225/4 =56. 25 ?? Just curious.

Sorry....that was a typo....I'll fix it....!!!!

Glad I could help!!!

Thank you so much! I was stuck on how to do this for hours!

Although, at one point, you said subtract L and you subtracted W...

See my answer under your other post......

Let P  be the perimeter of the fence  = 225

And  ..... P  = 2 ( Width + Length)    .....so.....

225  =   2 (W+ L)       divide by 2 in both sides

225 / 2  = W + L        subtract W  from both sides and simplify

112.5 - W = L        (1)

And the area, A,  =  W * L

So

A = W * L     .....  sub (1)  for L

A  =  W * ( 112.5 - W)      simplify

A =  112.5W  - W^2   rewrite as

A =  -W^2 + 112.5W

We  have an "upside down" parabola and is the quadratic we need

The area will be maximized at the W  value of      -112.5 / [2 * -1]  =  56.25

And using (1), the Length will be  112.5 - W  =   112.5 - 56.25  =  56.25

So......the maximum area will be   (56.25) * (56.25)  =  3164.0625 sq ft.

Note that the area  is maximized when we have a square with a side of 56.25 ft.....!!!

thank u!

It sounds like a very well thought out letter to your teacher. I do have one correction to make it sound a bit better.

After "Yesterday I got my English paper back," you should write " and I was disappointed with my grade."

But other than that it sounds great!

 <---- You

12-4x

To solve this very complex problem we need to define what 2 is.

Being one more than one in number.  Being the second —used postpositively.

Now that we know what 2 is, we can now solve this problem. I have made the problem into a word problem to make this problem easier to understand.

You have 2 ducks and someone just gave you 2 more ducks. How many ducks do you have?

SOLUTION: 4

 <---- You

really? its 4

If you are to solve this problem for j and for c, multiply the second equation by 2 and subtract from the first equation.

5j + 6c  =  32                    --->     5j + 6c   =  32

1j + 3c  =  10     --->   x2   --->     2j + 6c  =  20

Subtract                            --->     3j           =  12

Divide by 3                       --->                  j  =  4

Substitute 4 for j in the second equation:  1j + 3c  =  10     --->     1(4) + 3c  =  10     --->     4 + 3c  =  10

                                                             Subtract 4 from both sides                                              3c  =  6

                                                             Divide by 3                                                                        c  =  2

A solution of this set of equations is:  c = 2  and  j = 4.

Assuming your roomes are square (haha), measure the length (in foot) along the wall, of two walls that form a corner. So the measurements of two opposite walls will not do.

Then simply take these lengths and multiply them with eachother. You have now obtained the area in square foot, or the square footage, of that room. 

Repeat this process for all rooms and you are done. Good luck!

Cannot prove it formally, but the LHS converges to 2.38423........., which is < 3

It seems like you made an error solving for y. The correct answer should be y= -2.

All the best!

If we type 7500/22781.13 into a calculator we obtain

0.32921984115...

This can be rounded in any number of ways, depending on what precision you want. Rounding to two decimals, for instance, produced 0.33. Rounding to 3  deci produces 0.329. I cant fully answer your question, you need to be more specific!

The rule is that, if the number after the desired precision is equal to or greater than five, you round up. Otherwise you round down.

Have a good one!

The ratio between boys and girls is 4/7. This means that the ratio between boys and the total number of students is 4/(7+4)=4/11. Similarily, the ratio between girls and the total number is 7/11.

The the number of students be x. We know that x*4/11=whole number, and that x*7/11=whole number. The only way this can happen is if x is divisible by 11. And the only number divisible by 11 between 24 and 40 is 33, so x=33.

Note that i didnt have to include both numbers 4/11 and 7/11. It would have sufficed to just bring up one of these quotas.

Hope this helped!

Okay, so we begin by picking one of the equations, and solving for either x or y.

I will pick equation 1, and solve for x:

\(x=-3-3y.\)

We now insert this modifyed version of equation 1 into equation 2. By that i mean that we replace x in equation 2 with -3-3y. We do this and obtain:

\(4\cdot(-3-3y)+3y=6\)

which gives us that

\(y=-2.\)

What remains now is to replace y with -2 in any of our expressions that contain both x and y. Its the easiest to insert it into x=-3-3y, since we would otherwise have to solve for x again! We do this and obtain;

\(x=-3-3\cdot(-2)=3.\)

  x + 3y = - 3     |*(-1)

4x + 3y =   6

 - x - 3y =  3    

4x + 3y =   6

3x        =   9     | : 3

  x        =   3 

3 + 3y = - 3   | - 3

      3y = - 6   | : 3

        y =   2