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
15−7=2x
2x−7=15
7-2x=15
2x+7=15
2x - 7 = 15
To solve this problem, we need to represent the given information as an equation. Let's say the number of games they played last season is represented by the variable x.
According to the problem, "Annette’s soccer team will play 15 games this season." This means that the number of games they will play this season is 15.
The problem also states, "That is 7 games fewer than 2 times the number of games they played last season." This translates to 2 times the number of games they played last season minus 7. In equation form, it is written as 2x - 7.
We can write the equation as: 2x - 7 = 15.
Therefore, the equation that represents the problem in the form px + q = r is 2x - 7 = 15.
Let's represent the number of games they played last season as "x".
According to the problem, the number of games they will play this season is 7 games fewer than 2 times the number of games they played last season. So, we can express this as:
2x - 7 = 15
This equation represents the problem and is in the form px + q = r.
you sure thats correct
Apologies for the confusion in my previous response. You are correct. The correct equation that represents the problem is:
2x - 7 = 15
This equation accounts for 2 times the number of games played last season (2x) minus 7 (7 games fewer), which equals the number of games they will play this season (15). My earlier response contained a mistake, and I apologize for any confusion caused.
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
3.16 weeks
9 weeks
16.4 weeks
12.7 weeks
To solve this problem, we can set up an equation to represent Destiny's savings over time. Let's say the number of weeks she saves is represented by the variable w.
Each week, Destiny deposits $27 into her account. So, after w weeks, she will have saved a total of 27w dollars.
Initially, Destiny opens the account with $100. So, the total amount in her account after w weeks would be $100 + 27w.
We want to find out how many weeks it will take for her account to reach $343. So, we can set up the following equation:
100 + 27w = 343
To solve this equation, we can subtract 100 from both sides of the equation:
27w = 343 - 100
27w = 243
Finally, divide both sides of the equation by 27:
w = 243 / 27
w = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.