Question
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.
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.
Answers
GPT-4o mini
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.
**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.
is that correct
GPT-4o mini
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.
\[ 10 - 10 = 0 \]
This illustrates a situation where two quantities (the money received and the money spent) combine to total zero.
4. On a number line, what is the distance between -67 and 14?
Desmos Scientific Calculator
(1 point)
Responses
-81
-81
53
53
-53
-53
81
Desmos Scientific Calculator
(1 point)
Responses
-81
-81
53
53
-53
-53
81
GPT-4o mini
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**.
\[
\text{Distance} = |x_2 - x_1|
\]
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**.
is that correct n are you sure
GPT-4o mini
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**.
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**.
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
$380
$380
$490
$490
$440
$440
Skip to navigation
Desmos Scientific Calculator
(1 point)
Responses
$330
$330
$380
$380
$490
$490
$440
$440
Skip to navigation
GPT-4o mini
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.
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.
are you sure
GPT-4o mini
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.
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.
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