To evaluate the expression [tex]\( 4 - 0.25g + 0.5h \)[/tex] when [tex]\( g = 10 \)[/tex] and [tex]\( h = 5 \)[/tex], follow these steps:
1. Substitute the given values: Replace [tex]\( g \)[/tex] with 10 and [tex]\( h \)[/tex] with 5 in the expression.
[tex]\[
4 - 0.25(10) + 0.5(5)
\][/tex]
2. Multiply the constants with the substituted values:
- Compute [tex]\( 0.25 \times 10 \)[/tex]:
[tex]\[
0.25 \times 10 = 2.5
\][/tex]
- Compute [tex]\( 0.5 \times 5 \)[/tex]:
[tex]\[
0.5 \times 5 = 2.5
\][/tex]
3. Substitute these results back into the expression:
[tex]\[
4 - 2.5 + 2.5
\][/tex]
4. Perform the arithmetic operations:
- First, subtract 2.5 from 4:
[tex]\[
4 - 2.5 = 1.5
\][/tex]
- Then add 2.5 to 1.5:
[tex]\[
1.5 + 2.5 = 4.0
\][/tex]
Therefore, the result of the evaluation is:
[tex]\[
4 - 0.25(10) + 0.5(5) = 4.0
\][/tex]
