Question
Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take for her account to reach $259? Represent this problem with an equation in the form px+q=r .(1 point)
Responses
19x+50=259
19 x plus 50 equals 259
19x−50=259
19 x minus 50 equals 259
259+50=19x
259 plus 50 equals 19 x
50x+19=259
Responses
19x+50=259
19 x plus 50 equals 259
19x−50=259
19 x minus 50 equals 259
259+50=19x
259 plus 50 equals 19 x
50x+19=259
Answers
GPT-4o mini
To represent this problem with the equation \( px + q = r \), we need to identify the variables and constants involved.
- Let \( x \) represent the number of weeks.
- Maria starts with $50 (which is \( q \)).
- She saves $19 each week (which is \( p \)).
- She wants her total account balance to reach $259 (which is \( r \)).
Based on this information, we can formulate the equation as follows:
Starting amount + Amount saved each week × Number of weeks = Total amount
This translates to:
\[ 50 + 19x = 259 \]
So the correct equation in the form \( px + q = r \) is:
**19x + 50 = 259**
- Let \( x \) represent the number of weeks.
- Maria starts with $50 (which is \( q \)).
- She saves $19 each week (which is \( p \)).
- She wants her total account balance to reach $259 (which is \( r \)).
Based on this information, we can formulate the equation as follows:
Starting amount + Amount saved each week × Number of weeks = Total amount
This translates to:
\[ 50 + 19x = 259 \]
So the correct equation in the form \( px + q = r \) is:
**19x + 50 = 259**
Annette’s soccer team will play 15 games this season. That is 7 games fewer than 2 times the number of games they played last season. How many games did they play last season? Represent this problem with an equation in the form px+q=r .(1 point)
Responses
2x−7=15
2 x minus 7 equals 15
15−7=2x
15 minus 7 equals 2 x
2x+7=15
2 x plus 7 equals 15
7−2x=15
Responses
2x−7=15
2 x minus 7 equals 15
15−7=2x
15 minus 7 equals 2 x
2x+7=15
2 x plus 7 equals 15
7−2x=15
GPT-4o mini
To represent this problem with an equation in the form \( px + q = r \), we need to identify the variables and constants involved.
Let \( x \) represent the number of games Annette's soccer team played last season.
According to the problem:
- The team will play 15 games this season.
- This number is 7 games fewer than 2 times the number of games they played last season.
We can translate this into the following equation:
\[ 2x - 7 = 15 \]
This shows that if you take 2 times the games played last season (2x) and subtract 7, you will get the number of games played this season (15).
So, the correct equation in the form \( px + q = r \) is:
**2x - 7 = 15**
Let \( x \) represent the number of games Annette's soccer team played last season.
According to the problem:
- The team will play 15 games this season.
- This number is 7 games fewer than 2 times the number of games they played last season.
We can translate this into the following equation:
\[ 2x - 7 = 15 \]
This shows that if you take 2 times the games played last season (2x) and subtract 7, you will get the number of games played this season (15).
So, the correct equation in the form \( px + q = r \) is:
**2x - 7 = 15**
Solve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take for her account to reach $343? (1 point)
Responses
12.7 weeks
12.7 weeks
3.16 weeks
3.16 weeks
16.4 weeks
16.4 weeks
9 weeks
Responses
12.7 weeks
12.7 weeks
3.16 weeks
3.16 weeks
16.4 weeks
16.4 weeks
9 weeks
GPT-4o mini
To find out how many weeks it will take for Destiny’s account to reach $343, we can set up the equation based on the information given.
- She starts with $100.
- She deposits $27 each week.
- We want to find out how many weeks \( x \) it will take to reach $343.
The equation can be set up as:
\[
100 + 27x = 343
\]
Now, we can solve for \( x \):
1. Subtract 100 from both sides:
\[
27x = 343 - 100
\]
\[
27x = 243
\]
2. Now, divide both sides by 27:
\[
x = \frac{243}{27}
\]
3. Calculate \( x \):
\[
x = 9
\]
So, it will take Destiny **9 weeks** to reach $343 in her account.
Thus, the correct response is:
**9 weeks**.
- She starts with $100.
- She deposits $27 each week.
- We want to find out how many weeks \( x \) it will take to reach $343.
The equation can be set up as:
\[
100 + 27x = 343
\]
Now, we can solve for \( x \):
1. Subtract 100 from both sides:
\[
27x = 343 - 100
\]
\[
27x = 243
\]
2. Now, divide both sides by 27:
\[
x = \frac{243}{27}
\]
3. Calculate \( x \):
\[
x = 9
\]
So, it will take Destiny **9 weeks** to reach $343 in her account.
Thus, the correct response is:
**9 weeks**.
Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 1/3 the number of games they played last season. How many games did they play last season?(1 point)
Responses
7 games
7 games
11 games
11 games
27 games
27 games
33 games
33 games
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page 16 of 16
Responses
7 games
7 games
11 games
11 games
27 games
27 games
33 games
33 games
Skip to navigation
page 16 of 16
GPT-4o mini
To find out how many games Ahmadullah's basketball team played last season, we can set up an equation based on the information given.
Let \( x \) be the number of games played last season.
According to the problem:
- This season, the team will play 21 games.
- This is 12 games more than \( \frac{1}{3} \) of the number of games they played last season.
We can express this relationship mathematically as:
\[
21 = \frac{1}{3}x + 12
\]
Now, we can solve for \( x \).
1. First, subtract 12 from both sides:
\[
21 - 12 = \frac{1}{3}x
\]
\[
9 = \frac{1}{3}x
\]
2. Next, multiply both sides by 3 to solve for \( x \):
\[
x = 9 \times 3
\]
\[
x = 27
\]
So, Ahmadullah's basketball team played **27 games** last season.
Thus, the correct response is:
**27 games**.
Let \( x \) be the number of games played last season.
According to the problem:
- This season, the team will play 21 games.
- This is 12 games more than \( \frac{1}{3} \) of the number of games they played last season.
We can express this relationship mathematically as:
\[
21 = \frac{1}{3}x + 12
\]
Now, we can solve for \( x \).
1. First, subtract 12 from both sides:
\[
21 - 12 = \frac{1}{3}x
\]
\[
9 = \frac{1}{3}x
\]
2. Next, multiply both sides by 3 to solve for \( x \):
\[
x = 9 \times 3
\]
\[
x = 27
\]
So, Ahmadullah's basketball team played **27 games** last season.
Thus, the correct response is:
**27 games**.
Joseph wants to buy tickets for the baseball game and a team hat to wear to the game. He has $34.25. If the hat costs $12.50 and tickets cost $7.25 each, how many tickets can he buy?(1 point)
Responses
1 ticket
1 ticket
2 tickets
2 tickets
3 tickets
3 tickets
6 tickets
Responses
1 ticket
1 ticket
2 tickets
2 tickets
3 tickets
3 tickets
6 tickets
GPT-4o mini
To determine how many tickets Joseph can buy, we need to first subtract the cost of the hat from his total amount of money, and then see how many tickets he can afford with the remaining money.
1. **Total amount Joseph has:** $34.25
2. **Cost of the hat:** $12.50
3. **Cost of each ticket:** $7.25
First, let's calculate how much money he will have left after buying the hat:
\[
\text{Remaining money} = \text{Total amount} - \text{Cost of the hat}
\]
\[
\text{Remaining money} = 34.25 - 12.50 = 21.75
\]
Now, we will determine how many tickets he can buy with the remaining $21.75. We will divide the remaining amount by the cost of each ticket:
\[
\text{Number of tickets} = \frac{\text{Remaining money}}{\text{Cost of each ticket}}
\]
\[
\text{Number of tickets} = \frac{21.75}{7.25} \approx 3
\]
Joseph can buy a maximum of **3 tickets**.
Thus, the correct response is:
**3 tickets**.
1. **Total amount Joseph has:** $34.25
2. **Cost of the hat:** $12.50
3. **Cost of each ticket:** $7.25
First, let's calculate how much money he will have left after buying the hat:
\[
\text{Remaining money} = \text{Total amount} - \text{Cost of the hat}
\]
\[
\text{Remaining money} = 34.25 - 12.50 = 21.75
\]
Now, we will determine how many tickets he can buy with the remaining $21.75. We will divide the remaining amount by the cost of each ticket:
\[
\text{Number of tickets} = \frac{\text{Remaining money}}{\text{Cost of each ticket}}
\]
\[
\text{Number of tickets} = \frac{21.75}{7.25} \approx 3
\]
Joseph can buy a maximum of **3 tickets**.
Thus, the correct response is:
**3 tickets**.
Trust Me I'm A !NERD!
BOT IS CORRECT!!!!
GPT-4o mini
Thank you for your positive feedback! I'm glad I could help. If you have any more questions or need assistance with anything else, feel free to ask!