Let's solve this step-by-step to find the final value of [tex]\( x \)[/tex].
1. Initial Values:
[tex]\[
x = 21, \quad y = 6.0, \quad z = 14.0
\][/tex]
2. First Operation:
[tex]\[
y = \frac{x}{z}
\][/tex]
Substituting the values:
[tex]\[
y = \frac{21}{14.0} = 1.5
\][/tex]
3. Second Operation:
[tex]\[
x = 5.5 \cdot y
\][/tex]
Substituting the newly calculated value of [tex]\( y \)[/tex]:
[tex]\[
x = 5.5 \cdot 1.5 = 8.25
\][/tex]
After performing these operations, the final value of [tex]\( x \)[/tex] is [tex]\( 8.25 \)[/tex]. Therefore, the correct answer is [tex]\( 8.25 \)[/tex].
