1. **State the problem:** Rearrange the formula $$C=\frac{1000}{S+10}$$ to express $S$ in terms of $C$. 2. **Start with the given equation:** $$C=\frac{1000}{S+10}$$ 3. **Multiply both sides by $S+10$ to eliminate the denominator:** $$C(S+10)=1000$$ 4. **Distribute $C$ on the left side:** $$CS + 10C = 1000$$ 5. **Isolate the term with $S$ by subtracting $10C$ from both sides:** $$CS = 1000 - 10C$$ 6. **Divide both sides by $C$ to solve for $S$:** $$S = \frac{1000 - 10C}{C}$$ 7. **Simplify the fraction by splitting it:** $$S = \frac{1000}{C} - \frac{10C}{C}$$ 8. **Cancel the $C$ in the second term:** $$S = \frac{1000}{C} - \cancel{\frac{10C}{C}} 10$$ 9. **Final expression:** $$S = \frac{1000}{C} - 10$$ This means $S$ is expressed in terms of $C$ as $$S = \frac{1000}{C} - 10$$.