5 friends went trick-or-treating together for Halloween, but they soon got tired and went home at some point along the way. The next morning, the friends met up to exchange candy, so each
could have their favorites. Can you figure out who wore what costume, in what order they left
the group, and what each friend's favorite candy is?
FRIENDS: Andy, Jane, Max, Pam, Sam
COSTUMES: witch, vampire, devil, cat, skeleton
CANDY: Reese's, M&M's, Snickers, Starburst, Milky Way
1) The 5 friends are Max, the witch, the girl who likes Starburst, the boy who dressed as a devil,
and the person who left the group 3rd.
2) Andy (who does not like Milky Way) left sometime after Max and immediately before Sam.
3) Pam likes Starburst and she left after Sam.
4) The friends left the group in this order: the one who likes Reese's, the witch, Andy, the one
who likes Milky Way, and Pam.
5) The skeleton likes M&M's.
6) The vampire was not last.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

16 is the absolute value

step-by-step explanation: