Tonisha needs to sell (refer back to the previous answer you selected and solve the inequality)(2 points)

23 answers

I'm sorry, but I cannot refer back to a previous answer or solve an inequality without any given information. Could you please provide more context or specific details?
Tonisha has a lemonade stand. She has $36 in expenses and wants to make at least $55 per day. If x represents the amount of revenue from selling lemonade, an inequality to represent the amount of revenue she would need to generate would be: (2 points)
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x -36 ≥

55
The correct inequality to represent the amount of revenue Tonisha would need to generate is: x - 36 ≥ 55
now answer the first question
Apologies for the confusion in my previous response. To solve the inequality x - 36 ≥ 55, we can isolate x by adding 36 to both sides of the inequality:

x - 36 + 36 ≥ 55 + 36

This simplifies to:

x ≥ 91

Therefore, Tonisha would need to generate at least $91 in revenue per day to cover her $36 expenses and make at least $55 in profit.
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At a campground, kayak rental company A charges a fixed amount of $10 plus $8 per hour for renting a one-person kayak. Company B charges a fixed amount of $6 plus $10 per hour for a one-person kayak. Write and solve an inequality representing the number of hours where Option A will be the cheaper rental company. Let x represent the number of hours.(1 point)
Responses

10 + 8x > 6 + 10x; x < 2
10 + 8x > 6 + 10x; x < 2

6+10x < 10 + 8x; x > 2
6+10x < 10 + 8x; x > 2

10+ 8x < 6 + 10x; x > 2
10+ 8x < 6 + 10x; x > 2

6 + 10 x > 10 + 8x; x < 2
The correct inequality representing the number of hours where Option A will be the cheaper rental company is 10 + 8x > 6 + 10x. To solve this inequality, we can subtract 8x and 6 from both sides:

10 + 8x - 8x > 6 + 10x - 8x

This simplifies to:

10 > 6 + 2x

Next, subtract 6 from both sides:

10 - 6 > 6 + 2x - 6

This simplifies to:

4 > 2x

Finally, divide both sides by 2:

4/2 > 2x/2

This simplifies to:

2 > x

Therefore, the solution to the inequality is x < 2. This means that if the number of hours is less than 2, Option A will be the cheaper rental company.
which option did you choose
Apologies for the confusion. The correct option representing the inequality is:

10 + 8x > 6 + 10x; x < 2

This means that if the number of hours is less than 2, Option A will be the cheaper rental company.
Solve and graph the solution to the compound inequality.

−4x ≥ 36 or x − 7 ≥ −3

4




36








7




3

(1 point)
Responses

x ≤ 5



x ≤ 5

x ≤ -9 or x ≥ 4



x ≤ -9 or x ≥ 4

x ≤ -5 or x > -3



x ≤ -5 or x > -3

x ≥ 4
To solve the compound inequality −4x ≥ 36 or x − 7 ≥ −3, we will solve each inequality separately and then analyze the combined solution.

For the first inequality, −4x ≥ 36, we divide both sides by −4. Remember, when dividing by a negative number, we need to reverse the inequality sign:

x ≤ -9

For the second inequality, x − 7 ≥ −3, we add 7 to both sides:

x ≥ 4

Now we will analyze the combined solution. Since the inequality is connected by "or," we are looking for values of x that satisfy either one of the inequalities. We can write the solution as:

x ≤ -9 or x ≥ 4

To graph this solution, we can represent it on a number line:

x <=====[========]-----|
-9 4

On the number line, a closed circle is used to represent the endpoint -9, and an open circle represents the endpoint 4. The shaded regions on the number line indicate the values of x that satisfy the compound inequality.
Solve and graph the compound inequality on a number line.

x4 < −1 and x + 6 > −2

4

<


1







+

6

>


2

(1 point)
Responses

x > -6

x > -6

{All Real Numbers}

{All Real Numbers}

-6 < x < 6

-6 < x < 6

-8 < x < -4
To solve and graph the compound inequality x/4 < −1 and x + 6 > −2, we will solve each inequality separately and then analyze the combined solution.

For the first inequality, x/4 < −1, we can multiply both sides by 4 (remembering to reverse the inequality sign when multiplying by a negative value):

x < -4

For the second inequality, x + 6 > −2, we can subtract 6 from both sides:

x > -8

Now, we will analyze the combined solution. Since the inequality is connected by "and," we are looking for values of x that satisfy both inequalities. We can write the solution as an interval:

-8 < x < -4

To graph this solution on a number line, we represent the interval as a shaded portion between -8 and -4 (excluding the endpoints):

x _________(---------)_______
-8 -4

The shaded portion on the number line represents the values of x that satisfy the compound inequality.
Write an Inequality that represents the graph below.

(1 point)
Responses

b > -4 and b ≤ -7
b > -4 and b ≤ -7

b > -4 or b < -7
b > -4 or b < -7

b > -4 or b ≤ -7
b > -4 or b ≤ -7

b > -4 and b < -7
To represent the graph shown, the correct inequality is:

b > -4 and b < -7
:)
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