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Nesterboy [21]
3 years ago
10

Manuel's gas tank is

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0
X represents the full tank
so 2/9x+12=2/3x
solve for x
2/9x+12=2/3x
try to convert 2/3 to a commom denomenator (bottom numer )
2/3=6/9
2/9x+12=6/9x
subtract 2/9x from both sides
12=4/9x
mulitply both sides by 9 to get rid of fraciton
108=4x
divide by 4
27=x

it can hold 27 gallons
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Answer:24 times


Step-by-step explanation:Hi there!  

First of all, division is the opposite of multiplication.  So if I  

divide 72 by 3 I should get 24, since 3*24 = 72.  

(You might notice that our division looks sort of like the  

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24

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___

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----

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just in a different order.)

OK, back to long division.

The process of long division goes sort of like this:

1. Write the problem

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So for 72 divided by three, the process would go like this:

1. Write the problem

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3|72

That means 72 divided by 3, also called 3 into 72, etc.

2. Make a guess of what the answer is.

Let's cover up the 2 in 72 for a minute:  (This lets us ignore the place  

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Now let's ask:  How many times does 3 go into 7?

You can make whatever guess you want.  But since we have a good idea of  

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Now we write the 2 above the 7 like this:

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Now, to check that we're right, we need to subtract 2 3's from 7.

We do this by multiplying 2X3 (to get 6) and then writing:

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We need the 2 from 72 again, so let's write it in again. In fact, we're

going to "bring it down" next to the 1 to make 12. Then we'll guess how  

many times 3 goes into 12, and so on.

Anyway:

  2

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3| 72

 -6 |     <---that's supposed to be an arrow reminding you that we're

 __\ /        bringing down the 2 to make 12

  12        

Ok. So, how many times does 3 go into 12?  Let's guess 4 (sorry, I'm  

cheating since I know the answer already!)

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Now let's multiply 3 X 4.  Wow! We get 12.  If we subtract 12-12

   24

 ----

3| 72

 -6

  -

  12

-  12

  ---

   0

Now, we can check to make sure that 3 X 24 really does equal 72, and  

we're done.


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