Ten times a number, x, is one-half the sum of the number and three. Which equations represents this situation?

Ten times a number, x, is one-half the sum of the number and three.

Ten times a number x = 10x

sum of the number and three = x + 3

one-half the sum of the number and three = 1/2 (x + 3)

So, the equation will be:

10x = 1/2 (x + 3)

if we solve this, we can also find he value of x

20x = x + 3

20x - x = 3

19x = 3

x = 3/19

S0, the number is 3/19 and equation is 10x = 1/2 (x + 3).