Question

Which equation can be used to represent the statement?

The sum of one-sixth of a number and negative two is equal to negative two-thirds.

Answer 1

Let the number is m

then:
one-sixth of a number = 1/6 m = m/6

and:
sum of one-sixth of a number and negative two = m/6 - 2

and:
sum of one-sixth of a number and negative two is equal to negative two-thirds : m/6 - 2 = -2/3


solving for m:
m/6 - 2 = -2/3
m/6 = -2/3 + 2

m/6 = 4/3                  *6
m = 8

Your number is: six



Done

I hope that helps!

Answer 2

Answer:

$\frac{1}{6}x+(-2)=-\frac{2}{3}$

Step-by-step explanation:

The sum of one-sixth of a number and negative two is equal to negative two-thirds.

LEt the unknown number be x

one -sixth is $\frac{1}{6}$

one-sixth of a number is  $\frac{1}{6}x$

The sum of one-sixth of a number and negative two

Sum represents the addition, expression becomes $\frac{1}{6}x+(-2)$

Now this expression is equal to negative two-thirds. $-\frac{2}{3}$

The equation becomes

$\frac{1}{6}x+(-2)=-\frac{2}{3}$