To solve the equation [tex]\( \frac{x}{35} = 7 \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
\frac{x}{35} = 7
\][/tex]
2. To isolate [tex]\( x \)[/tex], you need to eliminate the denominator [tex]\( 35 \)[/tex]. You can do this by multiplying both sides of the equation by [tex]\( 35 \)[/tex]:
[tex]\[
35 \cdot \frac{x}{35} = 35 \cdot 7
\][/tex]
3. Simplify the left side of the equation. Since [tex]\( 35 \)[/tex] and [tex]\( \frac{1}{35} \)[/tex] cancel each other out, you are left with:
[tex]\[
x = 35 \cdot 7
\][/tex]
4. Now, multiply:
[tex]\[
x = 245
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 245 \)[/tex].
So, the correct answer is:
A) 245
