Answer:
[tex]3y - 4[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]1/3 * (9y - 12)[/tex]
[tex](1/3 * 9y) + (1/3 * -12)[/tex]
[tex](3y) + (-4)[/tex]
[tex]3y - 4[/tex]
Answer: [tex]3y - 4[/tex]
The given expression 1/3x(9y – 12) is equivalent to 3xy – 4x. The correct option is B.
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression 1/3x(9y – 12) can be simplified as shown below.
1/3x(9y – 12)
Using the distributive property of multiplication,
= [(x/3)×9y] – [(x/3)×12]
Simplifying the expression,
= 3xy – 4x
Hence, The given expression 1/3x(9y – 12) is equivalent to 3xy – 4x.
The completed question is:
Which expression is equivalent to 1/3x(9y – 12)?
A. 3xy − 4
B. 3xy − 4x
C. 3xy − 12
D. 3y − 4x
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