There are 26 tiles in a bag. of these, 15 are purple, and the rest are yellow. what are the odds in favor of drawing a yellow tile?

Try drawing yourself a chart to help you figure it out.  Here is an example:

45

-

15

__

30

This leaves 30 yellow, and 15 purple.  Each letter will be used as five tiles of the color.  

(P,P,P) : (Y,Y,Y,Y,Y,Y)  

This shows the number of tiles, NOT the answer.  Because this is in the favor of the Yellow tiles, and 30 is twice the amount of 15, you will have 30:15.  To simplify this to it's SPF (smallest possible form), you would divide 30/15, which gives you 2:1.  I hope this helps you.  

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is