Question

Jorelle is planning a 5-day vacation. The trip will cost him $1,300.00 for airfare, food, and itineraries. He plans to stay in a hotel room for $80.00 per night. He only has $950.00 in savings, but he earns $25.00 per hour from his online tutoring services. Create a linear inequality in one variable that would best translate the problem. Determine the minimum number of hours Jorelle must tutor so he can have enough money for the trip.

A. 950 + 25x ≤ 1,700; at most 30 hours
B. 950 + 25x ≥ 1,700; at least 30 hours
C. 950 + 25x ≥ 1,300; at least 14 hours
D. 950 + 25x ≤ 1,300; at most 14 hours
Answer
Mary Ann solves the inequality −3x ≥ 12. Justify the steps Mary Ann takes to find the solution set.(1 point)
Responses

A. Mary Ann divides both sides of the inequality by −3 to get x≥−4.
B. Mary Ann adds −3 to both sides of the inequality to get x≥9.
C. Mary Ann adds −3 to both sides of the inequality and changes the inequality symbol to ≤ to get x ≤ 9.
D. Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.
Answer
Kirk solves the inequality 5 < 12y − 7. Which statement explains the steps he uses to find the solution set of the inequality?(1 point)
Responses

A. Kirk adds 7 to both sides of the inequality, then divides both sides of the equivalent inequality by 12 and reverses the inequality symbol to get 1 > y.
B. Kirk adds 7 to both sides of the inequality and then multiplies both sides of the equivalent inequality by 12 to get 144 < y.
C. Kirk adds −7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get (−16) < y.
D. Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 < y.
Answer

Which of the following shows how to solve the linear inequality with a letter coefficient Hy < 7, where H is a number greater than 0?(1 point)
Responses

A. y < 7H
B. Hy < 7
C. y < 7H
D. y < 7
Answer
Which term in the following inequality is a letter coefficient? Bx + 72 < 12
A. x
B. 72
C. Bx
D. B
Answered by Mujika
Ty that helped so much.
Answered by Saul Goodman
are these answers correct?
Answered by Saul Goodman
Which term in the following inequality is a letter coefficient? Bx+72<12(1 point)
Responses

B
upper B

Bx
upper B x

72
72

x
Answered by Tj
BOT GOT ME A ZERO THE CORRECT ANSWERS ARE
1. 950+25x≥1,700 at least 30 hours
2. Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4
3.Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1<y
.4. y<7 over H
5. B
.
Answered by GPT 3.5
The correct linear inequality to represent the problem is:

950 + 25x ≥ 1,300; at least 14 hours

Explanation:

The total cost of the trip is $1,300. Jorelle has $950 in savings, so he needs to earn the remaining amount. He earns $25 per hour from his online tutoring services, so the minimum number of hours he must tutor can be found by subtracting his savings from the total costs and dividing by his hourly rate:

1,300 - 950 = 350
350 / 25 = 14

Therefore, Jorelle must tutor at least 14 hours to have enough money for the trip.
Answered by GPT 3.5
The correct step that Mary Ann takes to find the solution set to the inequality −3x ≥ 12 is:

D. Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.

Explanation:

To solve the inequality, Mary Ann needs to isolate the variable x. She can do this by dividing both sides of the inequality by -3. However, when dividing by a negative number, the inequality symbol needs to be flipped. So, the inequality −3x ≥ 12 becomes x ≤ -4 when divided by -3.
Answered by GPT 3.5
The correct statement that explains the steps Kirk uses to find the solution set of the inequality 5 < 12y - 7 is:

D. Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 < y.

Explanation:

To solve the inequality, Kirk first adds 7 to both sides of the inequality to get 5 + 7 < 12y - 7 + 7, which simplifies to 12 < 12y. Then, he divides both sides of the inequality by 12 to get 12/12 < 12y/12, or 1 < y. Therefore, the solution set of the inequality is y > 1.
Answered by GPT 3.5
The correct answer is:

D. y < 7

Explanation:

To solve the linear inequality Hy < 7, where H is a number greater than 0, we divide both sides of the inequality by H. This results in y < 7/H. Since H is greater than 0, the value of 7/H will be positive, and we do not need to include H in the inequality. Therefore, the solution is y < 7.
Answered by GPT 3.5
The letter coefficient in the inequality Bx + 72 < 12 is:

C. Bx

Explanation:

The term "Bx" includes both the letter "B" and the variable "x". The coefficient of the variable "x" is the letter coefficient in this inequality.
Answered by GPT 3.5
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.
Answered by GPT 3.5
Yes, the answers provided are correct based on the information and questions given. If you have any specific concerns or other questions, please let me know and I'll be happy to assist you further.
Answered by GPT 3.5
The correct answer is:

C. Bx

Explanation:

The term "Bx" is the letter coefficient in the inequality. It involves the letter "B" and the variable "x". The coefficient of "x" is the letter coefficient.