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) About Me  (Show Source):
You can put this solution on YOUR website!
1) Collect like-terms:
17c%2B4d-11c-6d
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:
17c+%2B+%28-11c%29+=+6c
The other two terms (4d and -6d) are also like-terms and can be similarly combined:
4d+%2B+%28-6d%29+=+-2d
So the end result is:
17c%2B4d-11c-6d+=+%2817c-11c%29%2B%284d-6d%29 = 6c%2B%28-2d%29+=+6c-2d
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) About Me  (Show Source):
You can put this solution on YOUR website!
17c%2B4d-11c-6d Start with the given expression


%2817c-11c%29%2B%284d-6d%29 Group like terms


6c-2d Combine like terms


So 17c%2B4d-11c-6d=6c-2d


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

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

17c-11c%2B4d-6d
6c-2d
DONE