tell whether this pair of expressions is equivalent
1/3(x+15)+2/3(x+9) and x+11
To determine if these two expressions are equivalent, you can simplify the first expression and compare it to the second expression:
1/3(x+15) + 2/3(x+9)
= 1/3x + 5 + 2/3x + 6
= (1/3 + 2/3)x + 11
= x + 11
Therefore, the first expression simplifies to x + 11, which is the same as the second expression. This means that the pair of expressions is equivalent.