You buy 8 gallons of gasoline at p dollars per gallon and pays $23.20. write an equation to find the price of one gallon of gasoline. then find the price of one gallon of gasoline.

The price of one gallon is $2.90

Step-by-step explanation:

The equation to calculate the price of one gallon could be calculated by multiplying the 8 gallons and the price of one gallon of gasoline (p), this is:

So clearing the value of p, we have:

Finally, the price of one gallon is $2.90

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

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