Question

Find the value of the expression

10 − ut ÷ 3


for t = 2 and u = 3.

Answer 1

To evaluate the expression \( 10 - \frac{ut}{3} \) for \( t = 2 \) and \( u = 3 \), follow these steps:

1. Substitute \( u \) and \( t \) into the expression:
\[
10 - \frac{3 \cdot 2}{3}
\]

2. Calculate the product \( 3 \cdot 2 \):
\[
3 \cdot 2 = 6
\]
So, the expression becomes:
\[
10 - \frac{6}{3}
\]

3. Now, divide \( 6 \) by \( 3 \):
\[
\frac{6}{3} = 2
\]
Thus, the expression simplifies to:
\[
10 - 2
\]

4. Finally, perform the subtraction:
\[
10 - 2 = 8
\]

The value of the expression is \( \boxed{8} \).