NinjaDevo

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Your answer is a little incomplete...

Were not sure how many weeks we are buying gas...it isn't stated in in the question.

For the sake of answering this question I'll assume that this is just one week's worth of gas that we're talking about.

So, we drive 50 miles a week and our car gets 25 miles per gallon. Let's divide these two numbers to see how many gallons we buy a week.

$${\frac{{\mathtt{50}}}{{\mathtt{25}}}} = {\mathtt{2}}$$

We are buying 2 gallons of gas a week. We can multiply this by $4.00 to see how much money we spend a week.

$${\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{2}} = {\mathtt{8}}$$

So, we are spending $8.00 a week on gas. You can multiply this number by how many weeks we're buying gas if it's not just one week's worth.

I'd recommend just putting this in the site's calculator and getting an answer.

Well, I believe your asking that if you bought something for $35,200 at a tax of 7.5%, what would you pay total?

First we need to find 7.5% of 35,200 and then add that to 35,200 to get our final answer.

7.5% is really .075,

and "of" means multiplication in math terms. 

$${\mathtt{0.075}}{\mathtt{\,\times\,}}{\mathtt{35\,200}} = {\mathtt{2\,640}}$$

We now add 2,630 to 35,200 to find our total price for this product

$${\mathtt{2\,640}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35\,200}} = {\mathtt{37\,840}}$$

So we can conclude that $2,640 is the amount of tax that we will have to pay, and that our total price with tax is $37,840!

We don't know the length of any of the sides, but we know that the total length of the four sides is 1060 feet, and that two sides are 180 ft longer than the other two.

We can write this as an algebraic equation!

x + x + x + 180 + x + 180 = 1060

4x + 360 = 1060

     - 360     -360         ---Subtract 360 from both sides

4x =  800

x = 200

So the width of the field is 200, and the legnth is 180 ft. longer than the width, so the legnth of the field is 380 feet!

I believe your wanting us to simplify this.

-3(3x-(5x-3))

-3((3x-5x-(-3))

-3((3x-5x+(+3))     ---Minus a negative is the same as plus a positive

-3(-2x+3)

6x-9

To check that both the simplified version and the original will give you the same answer when the value of x is put it, put a random value for x in both of them. Let's put in 5 for x.

Original version:

-3(3x-(5x-3))

-3(3(5)-(5(5)-3))

-3(15-(25-3))

-3(15-22)

-3(-7)

21

Simplified version:

6x-9

6(5) - 9

30 - 9

21

There we go, it works!

I figured out the flaw in this problem after looking it up on a website.

The equation they have here is a bit different, but it's the same concept.

Well, I do know what this means....your basically just manipulating the equation algebraically...

It all seems legit, but there has to be an error somewhere, because 2 ≠ 1.

I'm not quite sure, maybe someone else on the forum has an explanation for this problem.

Rosala has a point. It's never necessarily good to "beat" your teacher.

Here's something you can use to "trick" your teacher though. Maybe see if they can find the fault in this!

CPhill is right, it's always a good habit to double check (or verify) your answers.

You are probably aware of how to do this, but I'll show you how to do it if your not familiar.

To check it, you simply put in the values of x and y into one of the equations like so:

4x-7y=43         ---This is the second equation that was given

4(2) - 7(-5) = 43

8 - (-35) = 43   

8 + (+35) = 43              ---Subtracting a minus ifs the same thing as adding a postitive

43 = 43

And 43 does equal 43, so we know our answer is right!