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

Question

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.

Answer 1

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 (+10) and her spending (-10) result in a net total of 0.

Answer 2

is that correct

Answer 3

Yes, that is correct. In the scenario of Sarah getting $10 and then spending $10, the two quantities indeed combine to make 0. Her net balance after receiving her allowance and spending it is:

\[ 10 - 10 = 0 \]

This illustrates a situation where two quantities (the money received and the money spent) combine to total zero.

Answer 4

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

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(1 point)
Responses

-81
-81

53
53

-53
-53

81

Answer 5

To find the distance between -67 and 14 on a number line, you can use the formula for distance between two points, which is given by:

\[ \text{Distance} = |x_2 - x_1| \]

Here, \(x_1 = -67\) and \(x_2 = 14\). Plugging in the values:

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

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

Answer 6

is that correct n are you sure

Answer 7

Yes, that is correct. The distance between -67 and 14 on a number line is indeed 81.

To clarify the calculation:

1. Identify the two points: -67 and 14.
2. Use the distance formula: \[ \text{Distance} = |x_2 - x_1| = |14 - (-67)| = |14 + 67| = |81| = 81. \]

The absolute value ensures that the distance is a positive value, regardless of the order of subtraction. Thus, the correct answer is 81.

Answer 8

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?

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(1 point)
Responses

$330
$330

$380
$380

$490
$490

$440
$440
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Answer 9

To determine how much Madison has in her account after the transactions, we can calculate step by step:

1. Start with the initial amount: \[ 650 \]

2. Withdraw $350: \[ 650 - 350 = 300 \]

3. Deposit $100: \[ 300 + 100 = 400 \]

4. Charge a $20 fee: \[ 400 - 20 = 380 \]

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

Answer 10

are you sure

Answer 11

Yes, the calculations are correct. Let's go through the transactions step by step again to ensure clarity:

1. Starting Amount: $650
2. Withdraw $350: \[ 650 - 350 = 300 \]
3. Deposit $100: \[ 300 + 100 = 400 \]
4. Charge a $20 Fee: \[ 400 - 20 = 380 \]

After performing all the calculations, Madison has $380 in her account.