If the absolute value of x is 5, what is the value of x?(1 point)

Responses

-5
-5

-5 or 5
-5 or 5

-25 or 25
-25 or 25

5

11 answers

The absolute value of \( x \) being 5 means that \( x \) can be either 5 or -5. Therefore, the correct response is:

-5 or 5

are you sure

Yes, I am sure. The absolute value of a number represents its distance from zero on the number line, disregarding its sign.

When the absolute value of \( x \) is 5, it means:

\[ |x| = 5 \]

This has two possible solutions:

  1. \( x = 5 \)
  2. \( x = -5 \)

So, the correct answer is indeed -5 or 5.

The integer -20 would BEST represent which of these TWO events?(1 point)
Responses

You remove 20 pounds of peaches from a pile.
You remove 20 pounds of peaches from a pile.

You fill a tub with 20 gallons of water.
You fill a tub with 20 gallons of water.

You withdraw $20 from a bank account.
You withdraw $20 from a bank account.

You run 20 minutes on a treadmill.

The integer -20 would BEST represent the event:

You withdraw $20 from a bank account.

This is because withdrawing money from an account represents a negative action in terms of account balance, which is effectively a loss or a decrease of 20 units (in this case, dollars).

The other options either involve adding or removing a physical quantity (like peaches or water) or represent a positive action (like running), which wouldn't imply a negative value in this context.

20 would BEST represent which of these( TWO events? )

The integer 20 would BEST represent the following two events:

  1. You fill a tub with 20 gallons of water. - This is a positive addition of water to the tub.

  2. You run 20 minutes on a treadmill. - This indicates a positive duration of exercise.

Both events reflect a positive increase or accumulation (volume of water and time spent exercising), fitting the positive integer 20.

are those correct

Yes, those are correct. The integer 20 can represent both of the following events:

  1. You fill a tub with 20 gallons of water. - This indicates a positive addition of water, represented by the positive integer 20.

  2. You run 20 minutes on a treadmill. - This indicates a positive duration of exercise, also represented by the positive integer 20.

Both examples illustrate a positive quantity or amount, which is why they are appropriate representations of the integer 20.

Which of these situations illustrates two quantities that combine to make 0?(1 point)
Responses

Marcus scores 900 points playing a video game and then loses over half of those points.
Marcus scores 900 points playing a video game and then loses over half of those points.

Mariah lost ten pounds and then gained 6 pounds.
Mariah lost ten pounds and then gained 6 pounds.

A business whose expenses are more than their profit.
A business whose expenses are more than their profit.

Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.

The situation that illustrates two quantities that combine to make 0 is:

Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.

In this case, Sarah's allowance of 10 dollars (a positive quantity) and her spending of 10 dollars (a negative quantity) combine to result in a net amount of 0 dollars.

The other options do not represent situations where the two quantities balance out to zero.

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