Answer:
The correct option is B. [tex]5(7+6s-9t)[/tex] and C. [tex](-35-30s+45t)\times (-1)[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]35 + 30s - 45t[/tex]
Option (A): [tex]7\cdot(5+30s-45t)[/tex]
Open parenthesis.
[tex]35+210s-315t[/tex]
Which is not equal to the provided expression.
Option (B) [tex]5(7+6s-9t)[/tex]
Open parenthesis.
35+30s-45t
Which is equal to the provided expression.
Option (C) [tex](-35-30s+45t)\times (-1)[/tex]
Open parenthesis.
[tex]35+30s-45t[/tex]
Which is equal to the provided expression.
Option (D) [tex]10\times(3.5+3s-4.5)[/tex]
[tex]35+30s-45[/tex]
Which is not equal to the provided expression.
Option (E) [tex](\frac{35}{2}- 15s + \frac{45t}{2}) \cdot(-2)[/tex]
Open parenthesis.
[tex]-35+30s-45t[/tex]
Which is not equal to the provided expression.
Hence, the correct option is B. [tex]5(7+6s-9t)[/tex] and C. [tex](-35-30s+45t)\times (-1)[/tex].
