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How do you solve for n? n/33=19

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funkyboy | Student | eNotes Newbie

Posted June 13, 2009 at 4:43 AM via web

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How do you solve for n? n/33=19

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kjcdb8er | Teacher | (Level 1) Associate Educator

Posted June 13, 2009 at 6:36 AM (Answer #1)

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In math x, y, n, or any other letter stands for a variable. A variable is an unknown quantity that represents some actual number (or numbers), but we often don't know what it is yet.

In an equation, both sides of the equal sign represent the same number, once all the math is done. So saying n/33 = 19 is the same as saying 19 = 19; we just don't know yet what number n divided by 33 equals 19.

An equation is like a see-saw: if an extra person gets on one side, then someone who weighs the same has to go on the other side to keep the see-saw level. So you can add, subtract, multiply, or divide any number to one side of the equation as long as you do the exact same thing to the other side.

So, to solve for n in n/33=19, we want to get n all alone on one side.

n/33 = 19

33*n/33 = 19*33            Multiply both sides by 33

1*n = 627                     33 divided by 33 equals 1

n = 627

And you can check: n/33 = 19 --> 627/33 does equal 19

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eblount | High School Teacher | (Level 1) Adjunct Educator

Posted December 23, 2009 at 9:15 AM (Answer #2)

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n/33 = 19

First you must isolate the variable(get n by itself).  n/33 means n divided by 33.  In order to get n by itself you must multiply n/33 by 33/n (you flip it and multiply).  This will cancel out the 33 and leave n by itself on that side of the equation.  And what you do to one side of an equation, you must do to the other side of the equation - 33 x 19, which will equal 627.

n/33 = 19

33/n x n/33 = 33 x 19

       n = 627

 

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Jyotsana | Student, Grade 10 | Valedictorian

Posted February 9, 2014 at 1:08 AM (Answer #8)

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n/33=19

33*n/33=19*33

n=627

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neela | High School Teacher | Valedictorian

Posted June 13, 2009 at 12:40 PM (Answer #3)

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The expression n/33=19 is read ," n divided by 19 equals 19"

In ordinary sense this can be asked: Which number if you divide by 33 gets 19? The answer is 33*19=627.

Solving the equation:

Given, n/33=19 .

An equation remains balanced if you multipls both sides by the same quantity. So multiply by 33. 33 is chosen ,because at make the denominator vanish at least.

(n/33)*33=19*33=627

n=627.

Reason:

LHS: 33*n/33  finishes to  n  as mutiplying  any number and then dividing the product  by same number   is as good as retaining the original number.

 

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sbinkowski | Middle School Teacher | (Level 1) Adjunct Educator

Posted June 14, 2009 at 5:56 AM (Answer #4)

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n/33 =19

In these basic equations, you can simply ask yourself, what number when divided by 33 will give you 19. If you can't think of what that is, think of a simpler question.

Take the equation n/2 = 5. What number when divided by 2 equals 5? Well... 10 divided by 2 will give you 5. Right? How could you get 10, using the numbers 5 and 2? You can multiply.

Let's go back to your problem: n/33=19. We will simply multiply the numbers 33 and 19. Multiplication is the opposite of division (which is the operation in your problem). To solve any equation, you do the opposite of what is there to solve it.

 

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laurto | Student, Grade 10 | Valedictorian

Posted December 8, 2013 at 1:28 AM (Answer #6)

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n/33=19

multiply both sides by 33

n/33=19

*33    *33

n=19*33= 627

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Yojana_Thapa | Student, Grade 10 | Valedictorian

Posted February 7, 2014 at 10:59 PM (Answer #7)

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n/33 = 19

To get n alone you do the opposite of what's done. Since it is n/33 you do you times it by 33.

19 times 33 = 627

n = 627

You can even plug It in the equation to find out if it equals 19.

627/33 = 19

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nicole8923 | Student, Grade 10 | Salutatorian

Posted February 26, 2014 at 7:40 PM (Answer #9)

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n/33=19

33*19= 627

n=627

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Wiggin42 | Student, Grade 11 | Valedictorian

Posted March 23, 2014 at 9:12 PM (Answer #10)

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n/33=19

33*19= 627

n=627

The way to undo division is by multiplication. 

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atyourservice | Student, Grade 10 | Valedictorian

Posted April 16, 2014 at 3:24 AM (Answer #11)

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`n/33=19 `

`n/33= 19/1 `

cross multiply

`33 xx 19 =n xx 1 `

627 = n

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zumba96 | Student, Grade 11 | Valedictorian

Posted May 9, 2014 at 11:26 PM (Answer #12)

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 n/33=19

So to solve for n you would have to cross multiply

n/33=19/1

with cross multiplication; 19x33 = n1

Therefore, n=627

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acompanioninthetardis | Student, Undergraduate | Valedictorian

Posted May 17, 2014 at 4:13 AM (Answer #13)

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n/33= 19

so you want the unknown variable on one side, and in order to do this you have to multiply both sides by 33

on the left the 33's will cancel because 33/33 =1

n= 19 *33

n= 627

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parama9000 | Student, Grade 11 | Valedictorian

Posted May 31, 2014 at 3:31 PM (Answer #14)

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Multiply 33 to both sides.

n/33*33=33*19

n=33*19=627

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nisarg | Student, Kindergarten | Valedictorian

Posted June 18, 2014 at 3:52 AM (Answer #15)

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n/33=19

to find n multiply both sides by 33

n=19*33

n=627

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jess1999 | TA , Grade 9 | Valedictorian

Posted June 19, 2014 at 11:51 PM (Answer #16)

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n/33 = 19

To solve this equation , first multiply both sides by 33 since you have to try to get " n " alone by itself to find what it equals .

By multiplying 33 on both sides your equation would look like this :

n = 627 which is your answer

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udonbutterfly | Student, College Freshman | Valedictorian

Posted July 30, 2014 at 9:27 PM (Answer #17)

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n/33 = 19

In order to solve for n we are going to multiply the denominator or the 33 on each side in order to cancel the 33 out and get n by itself.

Doing this you will get:

33 x (n/ 33) = (19) x 33

n = 627 Now here you have it, the answer!

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