A)jodis car used 12 gallons of gas to travel 456 miles. how many miles did her car travel per gallon of gas? show your work. b) it cost jodi $44.88 to buy 12 gallons of gas. what was the cost per gallon of gas? show your work.

a) Jodi's car traveled 38 miles per gallon of gas. We know this because by dividng the amount of miles traveled by number of gallons Jodi has in her car we can find how many miles she travels per gallon of gas.

So our equation would be 456 / 12 = 38

b) The cost per gallon of gas was $3.74. We can find this answer by dividing how much she paid ($44.88) by how many gallons she bought (12).

So our equation would be 44.88 / 12 = 3.74

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form