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

Responses

-5
-5

5
5

-5 or 5
-5 or 5

-25 or 25

11 answers

If the absolute value of \( x \) is 5, then \( x \) can be either \( 5 \) or \( -5 \).

Therefore, the correct response is: -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 following event:

You withdraw $20 from a bank account.

This is because withdrawing money from a bank account typically represents a decrease in balance, which can be denoted by a negative number.

The other options do not appropriately correlate with a negative integer.

pick two

In that case, the integer -20 would BEST represent the following two events:

  1. You withdraw $20 from a bank account. (This represents a decrease in balance.)
  2. You remove 20 pounds of peaches from a pile. (This can also signify a reduction in the total amount of peaches, depending on the context of the scenario.)

So the best two choices are:

  • You withdraw $20 from a bank account.
  • You remove 20 pounds of peaches from a pile.
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 situation, receiving $10 and then spending that same $10 results in a net change of $0.

Here’s a brief look at the other options:

  • Marcus scoring points and losing some does not result in a net change of 0 because he retains some points.
  • Mariah losing and then gaining weight does not reach a net change of 0 either because she ends up with a net loss of 4 pounds.
  • A business with expenses higher than profit indicates a loss, but it does not illustrate a direct combination to make 0.

Therefore, the correct response is about Sarah's allowance and spending.

4. On a number line, what is the distance between -67 and 14?

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(1 point)
Responses

53
53

81
81

-53
-53

-81
-81

To find the distance between two numbers on a number line, you can subtract the smaller number from the larger number and take the absolute value of the result.

In this case, to find the distance between -67 and 14:

\[ \text{Distance} = |14 - (-67)| = |14 + 67| = |81| = 81 \]

Therefore, the distance between -67 and 14 is 81.

Madison has $650 in her account. She makes a $350 withdrawal, deposits $100, and then gets charged a $20 fee. How much does she have in her account?

Desmos Scientific Calculator

(1 point)
Responses

$330
$330

$440
$440

$380
$380

$490

To determine how much money Madison has in her account after her transactions, you can follow these steps:

  1. Start with the initial amount: $650
  2. Subtract the withdrawal: $650 - $350 = $300
  3. Add the deposit: $300 + $100 = $400
  4. Subtract the fee: $400 - $20 = $380

Thus, after all transactions, Madison has $380 in her account.