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 plus 7 equals 15
2x−7=15
2 x minus 7 equals 15
7−2x=15
7 minus 2 x equals 15
15−7=2x
7 answers
15 - 7 = 2x
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
9 weeks
9 weeks
12.7 weeks
12.7 weeks
16.4 weeks
16.4 weeks
3.16 weeks
Responses
9 weeks
9 weeks
12.7 weeks
12.7 weeks
16.4 weeks
16.4 weeks
3.16 weeks
Let's represent the number of weeks as "w".
At the end of each week, Destiny deposits $27 into her account.
We can write an equation to represent the problem: 100 + 27w = 343.
To solve for "w", we subtract 100 from both sides of the equation: 27w = 343 - 100.
Simplifying further, we get: 27w = 243.
To solve for "w", we divide both sides of the equation by 27: w = 243/27.
Simplifying further, we get: w = 9.
Therefore, it will take Destiny 9 weeks for her account to reach $343.
At the end of each week, Destiny deposits $27 into her account.
We can write an equation to represent the problem: 100 + 27w = 343.
To solve for "w", we subtract 100 from both sides of the equation: 27w = 343 - 100.
Simplifying further, we get: 27w = 243.
To solve for "w", we divide both sides of the equation by 27: w = 243/27.
Simplifying further, we get: w = 9.
Therefore, it will take Destiny 9 weeks for her account to reach $343.
Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 13 the number of games they played last season. How many games did they play last season?(1 point)
Responses
7 games
7 games
33 games
33 games
27 games
27 games
11 games
Responses
7 games
7 games
33 games
33 games
27 games
27 games
11 games
Let's break down the information given in the problem:
- Ahmadullah's basketball team will play 21 games this season.
- This number is 12 games more than 13 times the number of games they played last season.
To solve this problem, we need to determine the number of games they played last season, which we can represent as 'x'.
From the given information, we can create an equation:
13x + 12 = 21
Explanation:
- We have 13x because it represents 13 times the number of games they played last season.
- We add 12 because it is 12 games more than 13 times the number of games.
So the equation representing this problem is:
13x + 12 = 21.
To solve for x, we subtract 12 from both sides of the equation:
13x = 9.
Then, we divide both sides of the equation by 13:
x = 9/13.
So the number of games they played last season is 9/13 or approximately 0.692 games. However, since the question asks for a whole number answer, we can round up to 1 game.
Therefore, they played 1 game last season.
- Ahmadullah's basketball team will play 21 games this season.
- This number is 12 games more than 13 times the number of games they played last season.
To solve this problem, we need to determine the number of games they played last season, which we can represent as 'x'.
From the given information, we can create an equation:
13x + 12 = 21
Explanation:
- We have 13x because it represents 13 times the number of games they played last season.
- We add 12 because it is 12 games more than 13 times the number of games.
So the equation representing this problem is:
13x + 12 = 21.
To solve for x, we subtract 12 from both sides of the equation:
13x = 9.
Then, we divide both sides of the equation by 13:
x = 9/13.
So the number of games they played last season is 9/13 or approximately 0.692 games. However, since the question asks for a whole number answer, we can round up to 1 game.
Therefore, they played 1 game last season.
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
6 tickets
6 tickets
3 tickets
3 tickets
2 tickets
Responses
1 ticket
1 ticket
6 tickets
6 tickets
3 tickets
3 tickets
2 tickets
To find out how many tickets Joseph can buy, we need to subtract the cost of the hat from the total amount of money he has.
Given:
Amount of money Joseph has: $34.25
Cost of the hat: $12.50
Subtracting the cost of the hat from the total amount of money he has:
$34.25 - $12.50 = $21.75
Now, we need to determine how many tickets Joseph can buy with $21.75. We divide the amount of money he has by the cost of each ticket to find the number of tickets:
$21.75 ÷ $7.25 = 3
Therefore, Joseph can buy 3 tickets.
Given:
Amount of money Joseph has: $34.25
Cost of the hat: $12.50
Subtracting the cost of the hat from the total amount of money he has:
$34.25 - $12.50 = $21.75
Now, we need to determine how many tickets Joseph can buy with $21.75. We divide the amount of money he has by the cost of each ticket to find the number of tickets:
$21.75 ÷ $7.25 = 3
Therefore, Joseph can buy 3 tickets.