SOLUTION: I am not sure how to do this problem? Collect like terms... 17c + 4d - 11c - 6d = ? and Translate to an algebraic expression? ... The product of 11% and some number Th

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Question 148485: I am not sure how to do this problem?
Collect like terms...
17c + 4d - 11c - 6d = ?
and
Translate to an algebraic expression?
... The product of 11% and some number
The translation is?

Found 3 solutions by Earlsdon, jim_thompson5910, josgarithmetic:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
1) Collect like-terms:

Notice that there are four terms in this expression, two of them contain the variable c (17c and -11c) and the other two have the variable d (4d and -6d).
The two terms that contain the variable c (17c and -11c) are said to be like-terms and these can be combined like this:

The other two terms (4d and -6d) are also like-terms and can be similarly combined:

So the end result is:
=
2) Translate to an algebraic expression:
The product of 11% and some number.
A product is the result of multiplying so you know that you will have to multiply two things.
11% can be expressed as a decimal: 11% = 0.11
"Some number" can be expressed as any letter you like, let's choose n, so...
(11%) X (n) = 0.11n

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Group like terms


Combine like terms


So


----------------------------

First write 11% as a decimal number

11%=11/100=0.11


So the product of 0.11 (which is 11%) and some number (say x) translates to

0.11x

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
--------------------------------
Collect like terms...
17c + 4d - 11c - 6d = ?
-------------------------------



DONE

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