Question

Helena will receive $53 plus $4 per kid for babysitting this afternoon. She is hoping to make at least $69. How many kids does she need to babysit? She writes the inequality 4x+53≥69 , where x equals the number of kids, to help figure this out. Solve her inequality. Use the letter x as your variable and write your x term first.

Note: You will find the option to add a  > ,  < ,  ≥ , or  ≤  symbol in the Comparison  (<)  keyboard

Answer 1

[AI-generated answer — Bot GPT 3.5]

The inequality is written as 4x + 53 ≥ 69. To solve this, we need to isolate the variable x.

First, subtract 53 from both sides of the inequality:

4x + 53 - 53 ≥ 69 - 53
4x ≥ 16

Next, divide both sides of the inequality by 4 to solve for x:

(4x)/4 ≥ 16/4
x ≥ 4

Therefore, Helena needs to babysit at least 4 kids.

Answer 2

The sum of 4.5 and one-third a number is equal to at most 38.9. What are all the possible values of the number? How would you write an inequality that could be used to solve this problem?

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the possible values of the number, we can set up an equation using the given information.

Let's assume the number is represented by the variable x.

The sum of 4.5 and one-third of the number is equal to at most 38.9. In mathematical terms, this can be written as:

4.5 + (1/3)x ≤ 38.9

To solve this inequality, we need to isolate the variable x.

First, subtract 4.5 from both sides of the inequality:

(1/3)x ≤ 38.9 - 4.5
(1/3)x ≤ 34.4

Next, multiply both sides of the inequality by 3 to get rid of the fraction:

3 * (1/3)x ≤ 3 * 34.4
x ≤ 103.2

Therefore, all the possible values of the number x are less than or equal to 103.2.

Answer 4

The sum of 4.5 and one-third a number is equal to at most 38.9. What are all the possible values of the number? How would you write an inequality that could be used to solve this problem?(1 point)

Responses

13n+4.5≥38.9, where n is equal to the number.
  Start Fraction 1 over 3 end fraction n plus 4.5 greater than or equal to 38.9 , where n is equal to the number.

13n+4.5=38.9, where n is equal to the number.
  Start Fraction 1 over 3 end fraction n plus 4.5 equals 38.9 , where n is equal to the number.

4.5+13+n≤38.9, where n is equal to the number.
  4.5 plus Start Fraction 1 over 3 end fraction plus n less than or equal to 38.9 , where n is equal to the number.

13n+4.5≤38.9, where n is equal to the number.

Answer 5

[AI-generated answer — Bot GPT 3.5]

The correct inequality that could be used to solve this problem is:

Start Fraction 1 over 3 end fraction x + 4.5 ≤ 38.9, where x is equal to the number.

This inequality represents the given information that the sum of 4.5 and one-third of the number is at most (less than or equal to) 38.9.

To find the possible values of the number, we can solve this inequality by isolating the variable x:

Start Fraction 1 over 3 end fraction x ≤ 38.9 - 4.5

Start Fraction 1 over 3 end fraction x ≤ 34.4

Multiplying both sides of the inequality by 3, we get:

x ≤ 103.2

Therefore, all the possible values of the number x are less than or equal to 103.2.