To solve the equation 2x + 5 = 21, you need to isolate the variable x.
First, subtract 5 from both sides of the equation:
2x + 5 - 5 = 21 - 5
This simplifies to:
2x = 16
Next, divide both sides of the equation by 2:
2x/2 = 16/2
This simplifies to:
x = 8
Therefore, the solution to the equation is x = 8.
Determine the solution to the following problem:
2x+5=21
(1 point)
Responses
26
26
13
13
8
8
16
16
15 answers
Determine the solution to the following problem:
−3w−9=−6
(1 point)
Responses
5
5
-1
-1
-5
-5
-9
−3w−9=−6
(1 point)
Responses
5
5
-1
-1
-5
-5
-9
To solve the equation -3w - 9 = -6, you need to isolate the variable w.
First, add 9 to both sides of the equation:
-3w - 9 + 9 = -6 + 9
This simplifies to:
-3w = 3
Next, divide both sides of the equation by -3:
(-3w)/-3 = 3/-3
This simplifies to:
w = -1
Therefore, the solution to the equation is w = -1.
First, add 9 to both sides of the equation:
-3w - 9 + 9 = -6 + 9
This simplifies to:
-3w = 3
Next, divide both sides of the equation by -3:
(-3w)/-3 = 3/-3
This simplifies to:
w = -1
Therefore, the solution to the equation is w = -1.
Determine the solution to the following problem:
n5+10=−20
(1 point)
Responses
-150
-150
-50
-50
-6
-6
-2
n5+10=−20
(1 point)
Responses
-150
-150
-50
-50
-6
-6
-2
To solve the equation n/5 + 10 = -20, you need to isolate the variable n.
First, subtract 10 from both sides of the equation:
n/5 + 10 - 10 = -20 - 10
This simplifies to:
n/5 = -30
Next, multiply both sides of the equation by 5 to solve for n:
5 * (n/5) = -30 * 5
This simplifies to:
n = -150
Therefore, the solution to the equation is n = -150.
First, subtract 10 from both sides of the equation:
n/5 + 10 - 10 = -20 - 10
This simplifies to:
n/5 = -30
Next, multiply both sides of the equation by 5 to solve for n:
5 * (n/5) = -30 * 5
This simplifies to:
n = -150
Therefore, the solution to the equation is n = -150.
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.(1 point)
Responses
259+50=19x
259 plus 50 is equal to 19 x
19x+50=259
19 x plus 50 is equal to 259
19x−50=259
19 x minus 50 is equal to 259
50x+19=259
Responses
259+50=19x
259 plus 50 is equal to 19 x
19x+50=259
19 x plus 50 is equal to 259
19x−50=259
19 x minus 50 is equal to 259
50x+19=259
The correct equation to represent this problem is:
50 + 19x = 259
Explanation: Maria starts with $50 and saves $19 each week. We need to determine how many weeks it will take for her account to reach $259. The variable x represents the number of weeks it will take. The equation 50 + 19x = 259 represents the total amount in her account after x weeks.
50 + 19x = 259
Explanation: Maria starts with $50 and saves $19 each week. We need to determine how many weeks it will take for her account to reach $259. The variable x represents the number of weeks it will take. The equation 50 + 19x = 259 represents the total amount in her account after x weeks.
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? Which equation represents this problem?(1 point)
Responses
15−7=2x
15 minus 7 is equal to 2 x
7−2x=15
7 minus 2 x is equal to 15
2x−7=15
2 x minus 7 is equal to 15
2x+7=15
Responses
15−7=2x
15 minus 7 is equal to 2 x
7−2x=15
7 minus 2 x is equal to 15
2x−7=15
2 x minus 7 is equal to 15
2x+7=15
The correct equation to represent this problem is:
2x - 7 = 15
Explanation: Let x represent the number of games they played last season. According to the problem, the team will play 15 games this season, which is 7 games fewer than 2 times the number of games they played last season. So, we have the equation 2x - 7 = 15 to represent this relationship.
2x - 7 = 15
Explanation: Let x represent the number of games they played last season. According to the problem, the team will play 15 games this season, which is 7 games fewer than 2 times the number of games they played last season. So, we have the equation 2x - 7 = 15 to represent this relationship.
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 her account to reach $343?(1 point)
Responses
16.4 weeks
16.4 weeks
12.7 weeks
12.7 weeks
9 weeks
9 weeks
3.16 weeks
Responses
16.4 weeks
16.4 weeks
12.7 weeks
12.7 weeks
9 weeks
9 weeks
3.16 weeks
To solve this problem, we can set up the following equation:
$100 + $27x = $343
Explanation: Destiny starts with an initial deposit of $100 and deposits an additional $27 each week. We want to find the value of x, representing the number of weeks it will take for her account to reach $343.
Next, we can solve for x:
$27x = $343 - $100
$27x = $243
Dividing both sides of the equation by $27:
x = $243 / $27
x = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
$100 + $27x = $343
Explanation: Destiny starts with an initial deposit of $100 and deposits an additional $27 each week. We want to find the value of x, representing the number of weeks it will take for her account to reach $343.
Next, we can solve for x:
$27x = $343 - $100
$27x = $243
Dividing both sides of the equation by $27:
x = $243 / $27
x = 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 more games than 13
the number of games they played last season. How many games did they play last season?(1 point)
Responses
27 games
27 games
33 games
33 games
7 games
7 games
11 games
11 games
the number of games they played last season. How many games did they play last season?(1 point)
Responses
27 games
27 games
33 games
33 games
7 games
7 games
11 games
11 games
To solve this problem, we can set up the following equation:
21 = 13 + x + 12
Explanation: Let x represent the number of games they played last season. According to the problem, the team will play 21 games this season, which is 12 more games than 13 plus the number of games they played last season.
Simplifying the equation:
21 = 13 + x + 12
21 = x + 25
Next, we can solve for x:
x + 25 = 21
x = 21 - 25
x = -4
Therefore, the team played -4 games last season. However, this is not a realistic solution. It seems there may be an error in the problem description or equation.
21 = 13 + x + 12
Explanation: Let x represent the number of games they played last season. According to the problem, the team will play 21 games this season, which is 12 more games than 13 plus the number of games they played last season.
Simplifying the equation:
21 = 13 + x + 12
21 = x + 25
Next, we can solve for x:
x + 25 = 21
x = 21 - 25
x = -4
Therefore, the team played -4 games last season. However, this is not a realistic solution. It seems there may be an error in the problem description or equation.
the options are only 27 games
27 games
33 games
33 games
7 games
7 games
11 games
11 games
27 games
33 games
33 games
7 games
7 games
11 games
11 games
Apologies for the confusion. Let's try to solve the problem again based on the four provided options.
From the problem, Ahmadullah's basketball team played 12 more games than the number of games they played last season. So, we set up the equation:
21 = 13 + x + 12
To solve for x, we can simplify the equation:
21 = 25 + x
Now, let's solve for x:
x = 21 - 25
x = -4
However, this solution of x = -4 does not match any of the given options (27, 33, 7, or 11). Please double-check the given options or provide more information if possible.
From the problem, Ahmadullah's basketball team played 12 more games than the number of games they played last season. So, we set up the equation:
21 = 13 + x + 12
To solve for x, we can simplify the equation:
21 = 25 + x
Now, let's solve for x:
x = 21 - 25
x = -4
However, this solution of x = -4 does not match any of the given options (27, 33, 7, or 11). Please double-check the given options or provide more information if possible.