expand the expression 1/2(3+4t-10)

To expand the expression 1/2(3+4t-10), we distribute the fraction 1/2 to each term inside the parentheses:

1/2(3) + 1/2(4t) + 1/2(-10)

This simplifies to:

3/2 + 2t + (-5)

Combining like terms, the expression becomes:

2t + (-2/2) + 3/2

Simplifying further:

2t + (-1) + 3/2

The final expanded expression is:

2t - 1 + 3/2