Nachelle has a points card for a movie theater.
She receives 50 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 170 points for a free movie ticket.
Write and solve an inequality which can be used to determine vv, the number of visits Nachelle can make to earn her first free movie ticket.
Answer
Attempt 1 out of 3
Inequality:
vv
12.5*vv + 50 >= 170
A group of friends wants to go to the amusement park. They have no more than $295 to spend on parking and admission. Parking is $11.50, and tickets cost $39 per person, including tax. Which inequality can be used to determine xx, the maximum number of people who can go to the amusement park?
Answer
Attempt 1 out of 3
Multiple Choice Answers
295, is less than or equal to, 39, x, plus, 11, point, 5295≤39x+11.5
295, is greater than or equal to, 39, x, plus, 11, point, 5295≥39x+11.5
295, is greater than or equal to, 39, left bracket, x, plus, 11, point, 5, right bracket295≥39(x+11.5)
295, is less than or equal to, 39, left bracket, x, plus, 11, point, 5, right bracket295≤39(x+11.5)
295 ≤ 39x + 11.5
its wrong, whats the right answer
I apologize for the mistake. The correct answer is:
295 ≥ 39x + 11.5
Which of the following values are solutions to the inequality minus, 4, minus, 3, x, is less than, minus, 8, question mark−4−3x<−8?
I., 8, II., 2, III., 9
I.8II.2III.9
Answer
Attempt 1 out of 3
Multiple Choice Answers
NoneNone
I onlyI only
II onlyII only
III onlyIII only
I and III and II
I and IIII and III
II and IIIII and III
I, II and IIII, II and III
To find the solutions to the inequality, we can solve it by isolating the variable x:
-4 - 3x < -8
To isolate x, we can start by adding 4 to both sides:
-3x < -4
Next, we divide both sides by -3. It's important to remember that when we divide by a negative number, we need to reverse the inequality sign:
x > -4 / -3
Simplifying further:
x > 4/3
Now we can determine which of the given values are greater than 4/3:
I. 8 -> 8 > 4/3 (True)
II. 2 -> 2 > 4/3 (False)
III. 9 -> 9 > 4/3 (True)
Therefore, the solutions to the inequality are I. 8 and III. 9.
its wrong
I apologize for the incorrect response. Let's solve the inequality correctly:
-4 - 3x < -8
First, we can add 4 to both sides to simplify:
-3x < -4
Next, we divide both sides by -3. Remember that when dividing by a negative number, we need to reverse the inequality sign:
x > -4 / -3
Simplifying further, we get:
x > 4/3
Now we can check which of the given values satisfy the inequality:
I. 8 -> 8 > 4/3 (Yes, it satisfies the inequality)
II. 2 -> 2 > 4/3 (No, it does not satisfy the inequality)
III. 9 -> 9 > 4/3 (Yes, it satisfies the inequality)
Therefore, the values that are solutions to the inequality are I. 8 and III. 9.
Select the values that make the inequality minus, 2, a, is less than, 86−2a<86 true. Then write an equivalent inequality, in terms of aa.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 3
-53 -48 -46
-44 -43 -42
-40 -38 -33
Equivalent Inequality: aa