Question
Which situation is best represented by the following equation?
40w + 12.50 = 492.50
Responses
A Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
B Nicole paid $12.50 for self-defense classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?Nicole paid $12.50 for self-defense classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
C Nicole paid $492.50 for self-defense classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?Nicole paid $492.50 for self-defense classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
D Nicole paid $492.50 for self-defense classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
Nicole paid $492.50 for self-defense classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
40w + 12.50 = 492.50
Responses
A Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
B Nicole paid $12.50 for self-defense classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?Nicole paid $12.50 for self-defense classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
C Nicole paid $492.50 for self-defense classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?Nicole paid $492.50 for self-defense classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
D Nicole paid $492.50 for self-defense classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
Nicole paid $492.50 for self-defense classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
Answers
Answer
A taxi fare has a fixed charge of $1.75 and an additional charge $0.45 per mile. A fare for m miles is $13.90. Which equation could be used to find m miles?
Responses
A 1.75(13.90 + m) = 11.75(13.90 + m) = 1
B 1.75 + 0.45m = 13.901.75 + 0.45m = 13.90
C 0 45 + 1.75m = 13.900 45 + 1.75m = 13.90
D (0.45 + 11.20)m = 1.75
Responses
A 1.75(13.90 + m) = 11.75(13.90 + m) = 1
B 1.75 + 0.45m = 13.901.75 + 0.45m = 13.90
C 0 45 + 1.75m = 13.900 45 + 1.75m = 13.90
D (0.45 + 11.20)m = 1.75
Answer
Five times what number plus 10 equals 20?
Responses
A -6-6
B 22
C 44
D 6
Responses
A -6-6
B 22
C 44
D 6
Answer
Karla is given the equation 10x + 15 = 20 to solve. She says the solution is 1/2
.
Which reason justifies her solution?
Responses
A Karla says that to solve the equation you first add 15 and then multiply by 10.Karla says that to solve the equation you first add 15 and then multiply by 10.
B Karla says that to solve the equation you first multiply by 10 and then add 15.Karla says that to solve the equation you first multiply by 10 and then add 15.
C Karla says that to solve the equation you first subtract 15 and then divide by 10.Karla says that to solve the equation you first subtract 15 and then divide by 10.
D Karla says that to solve the equation you first divide by 10 and then subtract 15.
.
Which reason justifies her solution?
Responses
A Karla says that to solve the equation you first add 15 and then multiply by 10.Karla says that to solve the equation you first add 15 and then multiply by 10.
B Karla says that to solve the equation you first multiply by 10 and then add 15.Karla says that to solve the equation you first multiply by 10 and then add 15.
C Karla says that to solve the equation you first subtract 15 and then divide by 10.Karla says that to solve the equation you first subtract 15 and then divide by 10.
D Karla says that to solve the equation you first divide by 10 and then subtract 15.
Answer
Solve.
4+x/7=2
Responses
A -14-14
B 1010
C 1212
D 4242
E −2/7
4+x/7=2
Responses
A -14-14
B 1010
C 1212
D 4242
E −2/7
Answered by
GPT 3.5
D Nicole paid $492.50 for self-defense classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
Answered by
GPT 3.5
The equation that could be used to find the number of miles, m, is option C:
0.45 + 1.75m = 13.90
In this equation, the fixed charge of $1.75 is added to the additional charge of $0.45 per mile, giving a total fare of $13.90. The unknown variable m represents the number of miles.
To solve the equation for m, we can start by subtracting 0.45 from both sides:
0.45 + 1.75m - 0.45 = 13.90 - 0.45
1.75m = 13.45
Next, divide both sides of the equation by 1.75 to solve for m:
1.75m/1.75 = 13.45/1.75
m = 7.6857...
Therefore, the number of miles traveled is approximately 7.686 miles.
0.45 + 1.75m = 13.90
In this equation, the fixed charge of $1.75 is added to the additional charge of $0.45 per mile, giving a total fare of $13.90. The unknown variable m represents the number of miles.
To solve the equation for m, we can start by subtracting 0.45 from both sides:
0.45 + 1.75m - 0.45 = 13.90 - 0.45
1.75m = 13.45
Next, divide both sides of the equation by 1.75 to solve for m:
1.75m/1.75 = 13.45/1.75
m = 7.6857...
Therefore, the number of miles traveled is approximately 7.686 miles.
Answered by
GPT 3.5
The equation that represents the situation described is:
5x + 10 = 20
Where 'x' is the unknown number.
To solve this equation for 'x', we can start by subtracting 10 from both sides:
5x + 10 - 10 = 20 - 10
5x = 10
Next, divide both sides of the equation by 5:
5x/5 = 10/5
x = 2
Therefore, the number that satisfies the equation five times the number plus 10 equals 20 is 2.
The correct response is not listed in the options provided.
5x + 10 = 20
Where 'x' is the unknown number.
To solve this equation for 'x', we can start by subtracting 10 from both sides:
5x + 10 - 10 = 20 - 10
5x = 10
Next, divide both sides of the equation by 5:
5x/5 = 10/5
x = 2
Therefore, the number that satisfies the equation five times the number plus 10 equals 20 is 2.
The correct response is not listed in the options provided.
Answered by
GPT 3.5
The reason that justifies Karla's solution of 1/2 for the equation 10x + 15 = 20 is option B: Karla says that to solve the equation you first multiply by 10 and then add 15.
To show this reasoning, let's follow Karla's approach:
1. Starting with the equation 10x + 15 = 20.
2. First, we multiply both sides of the equation by 10: 10(10x + 15) = 10(20), which simplifies to 100x + 150 = 200.
3. Next, we subtract 150 from both sides: 100x + 150 - 150 = 200 - 150, giving 100x = 50.
4. Finally, we divide both sides by 100 to solve for x: (100x)/100 = 50/100, giving x = 1/2.
Therefore, based on Karla's reasoning, her solution of x = 1/2 is correct.
To show this reasoning, let's follow Karla's approach:
1. Starting with the equation 10x + 15 = 20.
2. First, we multiply both sides of the equation by 10: 10(10x + 15) = 10(20), which simplifies to 100x + 150 = 200.
3. Next, we subtract 150 from both sides: 100x + 150 - 150 = 200 - 150, giving 100x = 50.
4. Finally, we divide both sides by 100 to solve for x: (100x)/100 = 50/100, giving x = 1/2.
Therefore, based on Karla's reasoning, her solution of x = 1/2 is correct.
Answered by
GPT 3.5
To solve the equation 4 + x/7 = 2, we can follow these steps:
1. Subtract 4 from both sides of the equation:
4 + x/7 - 4 = 2 - 4
x/7 = -2
2. Multiply both sides of the equation by 7 to isolate the x variable:
7(x/7) = -2 * 7
x = -14
Therefore, the solution to the equation 4 + x/7 = 2 is x = -14. The correct response is not listed in the options provided.
1. Subtract 4 from both sides of the equation:
4 + x/7 - 4 = 2 - 4
x/7 = -2
2. Multiply both sides of the equation by 7 to isolate the x variable:
7(x/7) = -2 * 7
x = -14
Therefore, the solution to the equation 4 + x/7 = 2 is x = -14. The correct response is not listed in the options provided.
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