Latitia had 12 marbles. after she gave 2 marbles to amelia she has 10/12 of her marbles left. what fraction of the marbles did latitia give away?

The answer here would be 1/6.

Step-by-step explanation:

If Amelia originally has 12 marbles (12/12), then gives away 2, she then has 10 marbles (10/12). This means she gave away 2 of the 12 marbles she has (2/12). This fraction can then be reduced to 1/6 by dividing the denominator and numerator by 2.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is