Awhile back, either james borrowed $12 from his friend rita or she borrowed $12 from him, but he can’t quite remember which. either way, he is planning to pay her back or ask that she pay him back this afternoon. if he has $42.80 in his wallet, which equation represents the amounts of money he may have after he sees rita?
a. |x – 42.80| = 12
b. |x + 42.80| = 12
c. |x – 12| = 42.80
d. |x + 12| = 42.80

First option is correct.

Step-by-step explanation:

Let amounts of money James may have after he sees Rita be x.

It is given that either James borrowed $12 from his friend Rita or she borrowed $12 from him.

So meeting Rita second time either he will $12 or he will receive $12.

The amounts of money James may have after second meeting with Rita is:

Case 1: If he pays $12.

            .... (1)

Case 1: If he receives $12.

          .... (2)

On combining equation (1) and (2), we get

Subtract 42.80 from both sides.

It can be written as

Therefore first option is correct.

A. |x – 42.80| = 12

Step-by-step explanation:

Given,

The initial amount in Jame's wallet = $ 42.80,

Let x represents the final amount in Jame's  wallet after seeing Rita,

According to the question,

Either he will borrow $ 12 from Rita or Rita will borrow $ 12 from him,

When he borrows $ 12 from Rita,

Final amount in the wallet = initial amount + borrowed amount

⇒ x = 42.80 + 12

⇒ x - 42.80 = 12  (1)

While, when Rita  borrows $ 12 from him,

Final amount in the wallet = initial amount - borrowed amount

⇒ x = 42.80 - 12

⇒ x - 42.80 = -12

⇒ -(x - 42.80) = 12 (2),

By combining equation (1) and (2),

We get,

| x-42.80 | = 12

Which is the required equation.

⇒ Option A is correct.

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:

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step-by-step explanation: