Emma is making a snack mix of pretzels and peanuts. For every batch, she uses / cup of peanuts and / cups of pretzels. Use the ratio of pretzels to peanuts to find the constant of proportionality. Write an equation that relates the amounts of pretzels and peanuts in the snack mix. Write the ratio. Use the ratio to find the constant of proportionality

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step-by-step explanation:

because mean value defines that total sum value over total number of set

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

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