The weight of a fruit basket containing apples, pears and the basket itself cannot exceed 15 pounds. If the basket and apples weigh 10.5 pounds and each pear weighs 0.25 pounds, how many pears can go into each basket. Set up and solve an algebraic inequality. Show your work

See below.

Step-by-step explanation:

Let the amount of pears be “x”.

10.5 + 0.25x < 15

0.25x < 15 - 10.5

0.25x < 4.5

x < 18

In conclusion: 18 pears can go into each basket.

(Double check: 10.5 + 0.25 * 18 = 15 pounds)

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:

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !