Question
A group of friends wants to go to the amusement park. They have no more than $465 to spend on parking and admission. Parking is $12.50, and tickets cost $33 per person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?
Answer Attempt 1 out of 3
• 12.5p + 33 ≥ 465
O 33p + 12.5 > 465
O 12.5p + 33 ≤ 465
O 33p + 12.5 ≤ 465
Answer Attempt 1 out of 3
• 12.5p + 33 ≥ 465
O 33p + 12.5 > 465
O 12.5p + 33 ≤ 465
O 33p + 12.5 ≤ 465
Answers
GPT 3.5
• 12.5p + 33 ≤ 465
This is incorrect
GPT 3.5
Apologies for the incorrect answer. The correct inequality is:
33p + 12.5 ≤ 465
33p + 12.5 ≤ 465
Alonso has a points card for a movie theater.
He receives 40 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 185 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits Alonso can make to earn his first free movie ticket.
Answer Attempt 1 out of 3
Inequality:
X ? Blank
He receives 40 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 185 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits Alonso can make to earn his first free movie ticket.
Answer Attempt 1 out of 3
Inequality:
X ? Blank
GPT 3.5
Inequality:
40 + 12.5x ≥ 185
40 + 12.5x ≥ 185
Okay, what is x ? Blank
GPT 3.5
To determine the value of x, we need to solve the inequality:
40 + 12.5x ≥ 185
Subtract 40 from both sides:
12.5x ≥ 145
Divide both sides by 12.5:
x ≥ 11.6
Since Alonso cannot make a fraction of a visit, the maximum number of visits he can make to earn his first free movie ticket is 11 visits.
40 + 12.5x ≥ 185
Subtract 40 from both sides:
12.5x ≥ 145
Divide both sides by 12.5:
x ≥ 11.6
Since Alonso cannot make a fraction of a visit, the maximum number of visits he can make to earn his first free movie ticket is 11 visits.
What is the inequality
GPT 3.5
The inequality is:
12.5x + 40 ≥ 185
12.5x + 40 ≥ 185
Solve the following equation for x. Express your answer in the simplest form.
3 (x- 2) = 3x - 7
Answer Attempt 1 out of 3
The equation has:
3 (x- 2) = 3x - 7
Answer Attempt 1 out of 3
The equation has:
GPT 3.5
3(x - 2) = 3x - 7
Expanding the left side:
3x - 6 = 3x - 7
Subtracting 3x from both sides:
-6 = -7
This equation is not true for any value of x, so there is no solution.
Expanding the left side:
3x - 6 = 3x - 7
Subtracting 3x from both sides:
-6 = -7
This equation is not true for any value of x, so there is no solution.
Solve the following equation for x. Express your answer in the simplest form.
-4 (6x - 8) = - 24x + 32
Answer Attempt 1 out of 3
The equation has:
-4 (6x - 8) = - 24x + 32
Answer Attempt 1 out of 3
The equation has:
GPT 3.5
-4(6x - 8) = -24x + 32
Expanding the left side:
-24x + 32 = -24x + 32
The equation simplifies to 0 = 0, which means that the equation is true for all values of x. Therefore, any real number can be a solution to this equation.
Expanding the left side:
-24x + 32 = -24x + 32
The equation simplifies to 0 = 0, which means that the equation is true for all values of x. Therefore, any real number can be a solution to this equation.
Is it no solution, infinitely many solutions, or one solution
GPT 3.5
Sorry for the confusion. The correct answer is infinitely many solutions.
Solve the following equation for x. Express your answer in the simplest form.
-7 (2x+8) = 3(-3x - 2)
Answer Attempt 1 out of 3
The equation has
-7 (2x+8) = 3(-3x - 2)
Answer Attempt 1 out of 3
The equation has
GPT 3.5
-7(2x+8) = 3(-3x - 2)
Expanding both sides:
-14x - 56 = -9x - 6
Combining like terms:
-14x + 9x = -6 + 56
-5x = 50
Dividing by -5:
x = -10
So the solution to the equation is x = -10.
Expanding both sides:
-14x - 56 = -9x - 6
Combining like terms:
-14x + 9x = -6 + 56
-5x = 50
Dividing by -5:
x = -10
So the solution to the equation is x = -10.
Solve for x and graph the solution on the number line below
-3 > x/3
Inequality:
Number Line:
Note: pls provide the full number line and correct direction
-3 > x/3
Inequality:
Number Line:
Note: pls provide the full number line and correct direction
GPT 3.5
To solve the inequality -3 > x/3, we can multiply both sides by 3 to eliminate the fraction:
-3 * 3 > x
-9 > x
So, the inequality can be written as x < -9.
Now, let's graph the solution on the number line:
<-----------(-∞)--------------(-9)------------->
----------------------------------------------|
-------[=====================)---------------|
----------------------------------------------|
-3 * 3 > x
-9 > x
So, the inequality can be written as x < -9.
Now, let's graph the solution on the number line:
<-----------(-∞)--------------(-9)------------->
----------------------------------------------|
-------[=====================)---------------|
----------------------------------------------|
So how would the number line look like???
GPT 3.5
I apologize for the incorrect representation.
The correct number line graph for the inequality x < -9 is as follows:
<------------(-∞)------------------(-9)------------------------>
----------[---------------------)-----------------------------]
Here, the open circle indicates that -9 is not included in the solution, and the shaded part to the left of -9 represents all the values of x that satisfy the inequality.
The correct number line graph for the inequality x < -9 is as follows:
<------------(-∞)------------------(-9)------------------------>
----------[---------------------)-----------------------------]
Here, the open circle indicates that -9 is not included in the solution, and the shaded part to the left of -9 represents all the values of x that satisfy the inequality.
Solve for x and graph the solution on the number line below
-3 > x/3
Inequality:
Number Line:
-3 > x/3
Inequality:
Number Line:
GPT 3.5
To solve the inequality -3 > x/3, we can multiply both sides of the inequality by 3 to eliminate the fraction:
3 * -3 > x
-9 > x
So, the inequality can be written as x < -9.
Now, let's graph the solution on the number line:
<-----------------------(-∞)------------------------(-9)----------------------->
----------------------------------------------|
------------------------[--------------------------------)----------------------|
----------------------------------------------|
3 * -3 > x
-9 > x
So, the inequality can be written as x < -9.
Now, let's graph the solution on the number line:
<-----------------------(-∞)------------------------(-9)----------------------->
----------------------------------------------|
------------------------[--------------------------------)----------------------|
----------------------------------------------|
Solve for a and graph the solution on the number line below.
-5x < - 35
Answer Attempt 1 out of 3
Inequality Notation:
-5x < - 35
Answer Attempt 1 out of 3
Inequality Notation:
GPT 3.5
To solve the inequality -5x < -35, we can divide both sides of the inequality by -5. However, we need to remember that when we divide or multiply both sides of an inequality by a negative number, we need to reverse the direction of the inequality.
\(\frac{-5x}{-5} > \frac{-35}{-5}\)
\(x > 7\)
So, the inequality can be written as x > 7.
Now, let's graph the solution on the number line:
<-------------7---------------------(∞)------------------>
----------------------------------------------|
---------------------------(-------------------]---------------|
----------------------------------------------|
\(\frac{-5x}{-5} > \frac{-35}{-5}\)
\(x > 7\)
So, the inequality can be written as x > 7.
Now, let's graph the solution on the number line:
<-------------7---------------------(∞)------------------>
----------------------------------------------|
---------------------------(-------------------]---------------|
----------------------------------------------|
Solve the inequality and graph the solution on the line provided.
-7+7≤ =14
Answer Attempt 1 out of 3
Inequality Notation:
-7+7≤ =14
Answer Attempt 1 out of 3
Inequality Notation:
GPT 3.5
The inequality you provided -7 + 7 ≤ 14 is incomplete and does not form a valid inequality. Please provide a valid inequality to solve and graph.
Dude, what is the inequality of -7+7≤ =14
GPT 3.5
Apologies for the confusion. It appears that there is an error in the inequality you provided. The expression -7 + 7 does not need to be compared with 14, as it equals 0. Therefore, we cannot form a valid inequality with this expression. Please double-check the equation or provide a different inequality to solve and graph.
Solve the inequality and graph the solution on the line provided.
-7+7x≤ =14
Answer Attempt 1 out of 3
Inequality Notation:
-7+7x≤ =14
Answer Attempt 1 out of 3
Inequality Notation:
GPT 3.5
To solve the inequality -7 + 7x ≤ 14, we can start by rearranging the inequality:
7x - 7 ≤ 14
Next, we can add 7 to both sides of the inequality:
7x ≤ 21
To isolate x, we divide both sides by 7:
x ≤ 3
So, the inequality can be written as x ≤ 3.
Now, let's graph the solution on the number line:
<-------------------(-∞)----------------3----------------->
----------------------------------------------|
------------------------[-------------------)--------------|
----------------------------------------------|
7x - 7 ≤ 14
Next, we can add 7 to both sides of the inequality:
7x ≤ 21
To isolate x, we divide both sides by 7:
x ≤ 3
So, the inequality can be written as x ≤ 3.
Now, let's graph the solution on the number line:
<-------------------(-∞)----------------3----------------->
----------------------------------------------|
------------------------[-------------------)--------------|
----------------------------------------------|