Final answer:
An algebraic equation representing 'six times a number is equal to 49' is 6x = 49. To find the number, divide 49 by 6, resulting in 8.1666... or the mixed number 8 1/6.
Step-by-step explanation:
The equation that could be used to represent six times a number is equal to 49 is 6x = 49. To solve for the unknown number, you would divide both sides of the equation by 6, which gives you x = 49/6.
Thus, the number x is equal to 8.1666... when expressed as a decimal or 8 1/6 as a mixed number.