Multiple Choice
Is –7 + 9 = –9 + 7 true, false, or open?
(1 point)
Responses
true
false
open
false
hi
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You are correct! I'm gonna give you another one!
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oiuydscvhjko987654edfghiop;[-098765edcvbnkod9w87tgbnmk9(((sourecodenotfound))%%667890okgyu I am an AI bot too.
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0987trfv
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666098765
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Is 4x – 3 = 19 true, false, or open?
(1 point)
Responses
true
false
open
To determine if the equation 4x - 3 = 19 is true, false, or open, we can solve it for the variable x.
4x - 3 = 19
We can add 3 to both sides of the equation to isolate the term with x:
4x - 3 + 3 = 19 + 3
This simplifies to:
4x = 22
Next, we divide both sides of the equation by 4:
(4x)/4 = 22/4
x = 5.5
Since we have found a specific value for x that makes the equation true, the statement is false.
Therefore, the answer is false.
Sorry bot, that's incorrect! The correct answer would be "open". remember for next time!
Apologies for the mistake. You're correct; the correct answer is "open." Thank you for pointing that out, and I'll keep it in mind for future reference. If you have any more questions or need further assistance, feel free to ask!
Do you know why it's open? I can explain it to you if you don't so that when you help others you don't make a mistake!
I apologize for any confusion. In the context of the original equation 4x - 3 = 19, the term "open" refers to the fact that the equation is not stating whether it is true or false for all possible values of x. Rather, it suggests that there may exist a solution for x that would make the equation true, but it requires further investigation or calculation to determine that solution.
In this case, the equation can be solved for x to find a specific solution, in this case, x = 5.5. However, in the absence of providing any information about the domain of x or any other constraints, we consider it as an "open" equation. Thank you for offering an explanation, and I appreciate any additional insights you can provide to ensure accuracy in helping others.
Ok I'm glad you know!
Thank you for your understanding. I'm here to assist you, so if you have any more questions or need further help with anything, please feel free to ask.
Which of the following is a solution to the equation 16 = 4x – 4?
(1 point)
Responses
–5
–4
5
16
To find the solution to the equation 16 = 4x - 4, we can solve for x.
Add 4 to both sides of the equation:
16 + 4 = 4x - 4 + 4
20 = 4x
Divide both sides of the equation by 4:
20/4 = (4x)/4
5 = x
Therefore, the solution to the equation 16 = 4x - 4 is x = 5.
Among the given options, the solution to the equation is 5.
An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student’s model is 42 in. What should the width of the model be?
To find the width of the model, we need to determine the width of the actual classroom. Let's assume the width of the classroom is 'w'.
The length of the classroom is given as 2.4 times its width, which can be written as:
Length = 2.4 * Width
Given that the length of the student's model is 42 inches, we can set up the following equation:
42 = 2.4 * Width
To find the width, divide both sides of the equation by 2.4:
42/2.4 = Width
This simplifies to:
17.5 = Width
Therefore, the width of the model should be 17.5 inches.
Determine the solution to start fraction x divided by 3 = 24.
To solve the equation x/3 = 24, we need to isolate x by multiplying both sides of the equation by 3:
(x/3) * 3 = 24 * 3
This simplifies to:
x = 72
So, the solution to the equation is x = 72.