Final answer:
The sentence 'Three times the number m plus ten is equal to n' is translated into the mathematical equation as 3m + 10 = n.
Step-by-step explanation:
The equation that correctly translates the sentence, "Three times the number m plus ten is equal to n", is represented as 3m + 10 = n. The phrase 'three times the number m' suggests multiplication by 3, so we use 3m to denote this. The word 'plus' indicates addition, so we add 10 to represent 'plus ten', resulting in 3m + 10. Finally, the term 'is equal to' indicates that this expression should be set equal to n. Therefore, the complete equation is 3m + 10 = n.