Final answer:
The correct algebraic expression for '37 divided by the sum of a number and 3' is 37 / (x + 3), where 'x' is the unknown number.
Step-by-step explanation:
The question requires converting a mathematical expression into an algebraic expression. When we divide 37 by the sum of a number and 3, we represent the unknown number by a variable, typically x.
Therefore, the algebraic expression is 37 / (x + 3). Option (a) represents this correctly if we assume that the division is over the entire sum x + 3.
However, without brackets, it may appear that only 37 is divided by x and then 3 is added, which would be incorrect. To avoid confusion, it's best to write the expression as 37 / (x + 3), making it clear that 37 is being divided by the entire sum of x and 3.