How to find an unknown value in a ratio by using a unit rate​

First, we need to define a ratio, the relationship between two measurements or numbers. The first form of a unit rate is made by simply taking one number and placing it over the other, as in division. For example, if you want to express the statement, There are 24 eggs in 2 dozens of eggs.in fraction form it would be 24/2.The second form is to use the phrase, “is to”, between the things you are comparing, to denote that they are a ratio. If you take the example using this form, the answer would be, “24 is to 2”.The third form is to use a colon to between the numbers that we are comparing; this is the standard ratio form. A rate is a special ratio that is composed of two different units or things; think of it as a ratio with words. It's like describing what things are equal to in the simplest and most convenient form. That should help!

Step-by-step explanation:

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