I saw the images that accompanied this problem.
2 circles: circle 1 has 6 slices ; circle 2 has 3 slices
Circle 1 is for Tom: you can shade 4 slices out of the 6 slices.
Circle 2 is for Liz: you can shade 2 slices out of the 3 slices.
4/6 is equal to 2/3 because when 4 and 6 are both divided by 2, they give quotient of 2 and 3, respectively.
4 ÷ 2 = 2
6 ÷ 2 = 3
Just do 47+118 and it equals 165. Jorge started with 165 tickets.
Answer:
m= -2 c= -1
Step-by-step explanation:
2x+3y+1=0
3y= -2x-1
Make it into slope intercept form which is y=mx+b
subtract x ffrom both sides
2y=-5-x
divide by 2
y=-1/2x-5/2
y=mx+b
m=slope
b=y intercept or where the line passes through the y-axis
now one way is to graph points by subsituting
if x is 0 then y=-5//2
if x=1 then y=-3
if x=-5 then y=0
another way is to find out where the line passes though the y and x axis or the y and x intecepts respectively
the y intercept is when x=0
the x intecept is when y=0
so set each to zero and solve
if x=0
y=-1/2(0)-5/2
y=-5/2
the line passes throught the y axis at -5/2, plot the point (0,-5/2) on the y axis
then set y to zero
0=-1/2x-5/2
add 5/2 to both sides
5/2=-1/2x
multiply -1
-5/2=1/2x
multiply by 2
-5=x
therefor the line passes through tthe x axis at (-5,0)
then draw the line between the 2 points
here is the graph