In tess's grade 1/2 of students have sisters. out of those 1/2, 1/3 of them have a brother also. what fraction of students have a brother and sister. (when answering walk throught the steps) im really lost.

Lets say there are x students.

That means 1/2x students have sisters.

Now 1/3 of that 1/2x students also have brothers.

So 1/6x people have a brother and sister.

Therefore 1/6 of the students in Tess' grade has a brother and sister.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.