Which expression is equivalent to 5(c + b) + 9b ? 3c?Lemnet77 - 8 Answers
The answer is b.)
You first apply the order of operations on everything: Mult and Div then Add and Subt
So, do all the Mult and Div first. In this case, multiply the 5 over the stuff inside the parenthesis:
5*c + 5*b + 9b - 3c = 5c + 5b + 9b - 3c
Then the the Add and Subt of the matching terms (letters):
Start with the C's: 5c - 3c = 2c
the the B's: 5b + 9b = 14b
Then combine the results: 2c + 14b or 14b + 2c.
Therefore 5(c + b) + 9b ? 3c = 14b + 2c
or choice b.
5(c+B) + 9b - 3c open the brackets and we get 5c + 5b +9b - 3c
Now simplify the expression
5c - 3c = 2c and 9b + 5b = 14b, or, more correctly c(5-3) + b(5 + 9) we get........
....2c + 14b = answer b!
5(c+b)+9b-3c = 5c + 5b +9b -3c
Now we will group b's and c's together, so it becomes
(5c-3c)+(5b+9b) = 2c+14b
Upon rearranging this, we get
Answer = 14b+2c
The right answer is b.)14b + 2c
After grouping the c's and b's together, we get
5c -3c +5b +9b
what equals to
2c + 5b +9b
and results in
2c + 14b.
Simplifying the given expression by distributing and by adding like terms, 5(c + b) + 9b - 3c = 5c + 5b + 9b - 3c = 14b + 2c. Therefore b) option 14b + 2c is equivalent to the given expression....
The answer is b.) 14b + 2c
Here is the explanation:
5 ( c + b ) + 9b - 3c
= 5c +5b + 9b -3c
= 5c -3c +5b +9b
= 2c + 5b +9b
= 2c + 14b ( Answer: b )
5(c + b) + 9b ? 3c can be rewritten as:
5c + 5b + 9 b -3c (opening the brackets)
14b + 2c
ANSWER B :)
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