Which expression is equivalent to 2/3 (4x - 9)?
The expression equivalent to 2/3 (4x - 9) is (2/3)(4x) - (2/3)(9), which simplifies to 8x/3 - 18/3 = (8x - 18)/3.
To find the equivalent expression, we will distribute the 2/3 to every term inside the parentheses:
2/3 (4x - 9) = (2/3) * 4x - (2/3) * 9
Simplifying this expression gives us:
(8/3)x - 6
Therefore, the expression equivalent to 2/3 (4x - 9) is (8/3)x - 6.
To find an expression that is equivalent to 2/3 (4x - 9), we can use the distributive property. The distributive property states that when you multiply a number by a sum or difference inside parentheses, you multiply the number by each term inside the parentheses.
In this case, we have 2/3 multiplied by the expression (4x - 9). To apply the distributive property, we multiply 2/3 by each term inside the parentheses:
2/3 * 4x = (2 * 4x) / 3 = (8x) / 3
2/3 * (-9) = (2 * -9) / 3 = (-18) / 3 = -6
Combining the two results, we get:
2/3 (4x - 9) = (8x) / 3 - 6
Therefore, the expression equivalent to 2/3 (4x - 9) is (8x)/3 - 6.