You and your friend are playing "Fire-Water-Sponge." In this game, each of the two players chooses fire, water, or sponge. Both players reveal their choice at the same time, and the winner is determined based on the choices. Fire beats sponge by burning it, sponge beats water by soaking it up, and water beats fire by putting it out. If both players choose the same object, it is a tie. All the possible outcomes of the game are listed below. If we take outcomes 1,5,1,5,1, comma, 5, comma and 888 as a subset of the sample space, which of the statements below describe this subset?

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.  

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

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.