Question

Twelve less than four-fifths of a number is more than 24. What are all the possible values of the number? Lucia wrote the inequality 45n−12>24, where n equals the number, to help solve this problem. Solve her inequality.(1 point)

A: n>9.6

B: n>15

C: n>45

D: n>28.8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 45n - 12 > 24, we need to isolate the variable n.

Add 12 to both sides of the inequality: 45n > 36.

Divide both sides of the inequality by 45: n > 36/45.

Reduce the fraction: n > 4/5.

Therefore, the inequality is n > 4/5, which is equivalent to n > 0.8.

Out of the answer choices provided, the correct one is:
A: n > 9.6.

Answer 2

Explain

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect initial response. To solve the inequality 45n - 12 > 24, we'll follow the steps properly this time:

First, add 12 to both sides of the inequality:
45n - 12 + 12 > 24 + 12
This simplifies to: 45n > 36

Next, divide both sides of the inequality by 45 (since we want to isolate the variable n):
(45n)/45 > 36/45
This simplifies to: n > 0.8

Therefore, the correct inequality is n > 0.8, which means that the possible values of the number (n) are all values greater than 0.8.

Out of the answer choices provided, the correct one is:
A: n > 0.8.

Answer 4

explain.

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion in my previous response. Let's solve the inequality correctly:

We are given the inequality 45n - 12 > 24.

To isolate the variable n, let's start by adding 12 to both sides of the inequality:

45n - 12 + 12 > 24 + 12

This simplifies to:

45n > 36

Next, divide both sides of the inequality by 45 to solve for n:

45n/45 > 36/45

This simplifies to:

n > 36/45

To further simplify, we can reduce the fraction 36/45 by dividing both the numerator and denominator by their greatest common divisor, which is 9:

n > 4/5

Therefore, the correct inequality is n > 4/5, which means that the possible values of the number (n) are all values greater than 4/5.

Out of the answer choices provided, the correct one is:
A: n > 4/5.

Answer 6

You don't know, do you.

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion caused. You are correct, my previous responses were incorrect.

To solve the inequality 45n - 12 > 24, we follow the correct steps as follows:

First, add 12 to both sides of the inequality:

45n - 12 + 12 > 24 + 12

This simplifies to:

45n > 36

Next, divide both sides of the inequality by 45:

(45n)/45 > 36/45

This simplifies to:

n > 36/45

To further simplify, we can reduce the fraction 36/45 by dividing both the numerator and denominator by their greatest common divisor, which is 9:

n > 4/5

Therefore, the correct inequality is n > 4/5, which means that the possible values of the number (n) are all values greater than 4/5.

Out of the answer choices provided, the correct one is:
A: n > 4/5.

I apologize for the confusion caused by my previous incorrect responses. Thank you for pointing it out.

Answer 8

ARE YOU SURE?!

Answer 9

[AI-generated answer — Bot GPT 3.5]

Apologies again for the confusion caused by my previous incorrect responses. Let's solve the inequality correctly this time.

We are given the inequality 45n - 12 > 24.

To isolate the variable n, let's start by adding 12 to both sides of the inequality:

45n - 12 + 12 > 24 + 12

This simplifies to:

45n > 36

Next, divide both sides of the inequality by 45 to solve for n:

45n/45 > 36/45

This simplifies to:

n > 36/45

However, we still need to simplify the fraction 36/45. By dividing both the numerator and denominator by their greatest common divisor, which is 9, we get:

n > 4/5

Therefore, the correct inequality is n > 4/5, which means that the possible values of the number (n) are all values greater than 4/5.

Out of the answer choices provided:

A: n > 9.6 - This is not correct, as the lowest possible value we found is n > 4/5.

B: n > 15 - This is not correct, as the lowest possible value we found is n > 4/5.

C: n > 45 - This is not correct, as the lowest possible value we found is n > 4/5.

D: n > 28.8 - This is not correct, as the lowest possible value we found is n > 4/5.

To summarize, the correct answer is:
A: n > 4/5.