tell whether this pair of expressions is equivalent
the quantity x plus five divided by three
and
2/3x+5/3
Yes, these expressions are equivalent.
To show this, let's first rewrite the expression "the quantity x plus five divided by three" as:
(x + 5) / 3
Now let's simplify the expression:
(x + 5) / 3 = (1/3)x + (5/3) = 2/3x + 5/3
Therefore, the two expressions are equivalent.