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Which variable expression represents the phrase "3 times the sum of twice a number and 3"?

A. [tex]3(2n+3)[/tex]

B. [tex]\frac{2n+3}{3}[/tex]

C. [tex]\frac{3}{2n+3}[/tex]

D. [tex]3 \cdot 2n+3[/tex]

Sagot :

GinnyAnsweridn
To determine which variable expression represents the phrase "3 times the sum of twice a number and 3," let's break the phrase down step-by-step:

1. Identify the number: Let's denote the unknown number by the variable [tex]\( n \)[/tex].

2. Twice a number: Twice the number [tex]\( n \)[/tex] is written as [tex]\( 2n \)[/tex].

3. Sum of twice a number and 3: Add 3 to twice the number. This gives us [tex]\( 2n + 3 \)[/tex].

4. 3 times the sum: Finally, we need to take 3 times this sum. This is written as [tex]\( 3 \times (2n + 3) \)[/tex].

Putting it all together, the expression that represents "3 times the sum of twice a number and 3" is:

[tex]\[ 3(2n + 3) \][/tex]

Therefore, the correct variable expression from the given options is:
[tex]\[ 3(2n + 3) \][/tex]
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