Shantel offers online tutorial services. She charges $25.00 an hour per student. Her budget tracker reflects a total of $3,200.00 monthly expenses. How many hours must Shantel work each month to earn a monthly profit of at least $600.00?
Let x be the number of hours Shantel must work each month.
Shantel's total monthly earning is 25x dollars.
Her expenses for the month are $3,200.00.
Her monthly profit is given by the equation 25x - 3200 = 600.
Adding 3200 to both sides of the equation, we get 25x = 3800.
Dividing both sides of the equation by 25, we get x = <<152=152>>152.
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.00. Answer: \boxed{152}.
La’Shondra solves the inequality 6+3x≤24. She begins by subtracting 6 from both sides of the inequality and then divides both sides of the equivalent inequality by a number. What is the number?
La'Shondra subtracts 6 from both sides of the inequality: 6 + 3x - 6 ≤ 24 - 6
This simplifies to:
3x ≤ 18
To isolate x, La'Shondra needs to divide both sides of the inequality by 3:
3x/3 ≤ 18/3
x ≤ 6
Therefore, the number La'Shondra divides both sides of the equivalent inequality by is 3. Answer: \boxed{3}.
Solve the inequality Rx>10, where R is a number greater than 0.
To solve the inequality Rx > 10, we need to divide both sides of the inequality by R. However, we need to be careful because the value of R is greater than 0.
If R is positive, we can divide by R without changing the direction of the inequality:
(Rx)/R > 10/R
x > 10/R
Therefore, the solution to the inequality Rx > 10, where R is a number greater than 0, is x > 10/R.
Solve the inequality Ay+3<12, where A is a number greater than 0.
To solve the inequality Ay + 3 < 12, we need to isolate y.
First, subtract 3 from both sides of the inequality:
Ay + 3 - 3 < 12 - 3
Ay < 9
Next, to isolate y, we divide both sides of the inequality by A. Since A is a number greater than 0, we can divide without changing the direction of the inequality:
(Ay)/A < 9/A
y < 9/A
Therefore, the solution to the inequality Ay + 3 < 12, where A is a number greater than 0, is y < 9/A.
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
Let x be the number of hours Jorelle must tutor.
Jorelle earns $25.00 per hour, so his total earnings from tutoring will be 25x dollars.
Jorelle's total expenses for the trip, including airfare, food, itineraries, and hotel, are $1,300.00 + ($80.00 per night x 5 nights) = $1,300.00 + $400.00 = $1,700.00.
Jorelle only has $950.00 in savings.
To determine the minimum number of hours Jorelle must tutor so he can have enough money for the trip, we need to set up an inequality.
His total earnings from tutoring (25x) must be greater than or equal to his total expenses for the trip ($1,700.00).
So, the linear inequality in one variable that would best translate the situation is:
25x ≥ 1700
Therefore, Jorelle must tutor for a minimum of 68 hours (25x = 1700, x = 68) in order to have enough money for the trip. Answer: \boxed{68}.
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.(1 point)
Responses
950+25x≤1,300; at most 14 hours
950 plus 25 x less-than-or-equal-to 1,300 ; at most 14 hours
950+25x≥1,300; at least 14 hours
950 plus 25 x greater-than-or-equal-to 1,300 ; at least 14 hours
950+25x≤1,700; at most 30 hours
950 plus 25 x less-than-or-equal-to 1,700 ; at most 30 hours
950+25x≥1,700; at least 30 hours
The correct linear inequality in one variable that would best translate the problem is:
950 + 25x ≥ 1,300; at least 14 hours.
This is because Jorelle needs to earn enough money to cover the expenses of the trip, which is $1,300. Jorelle's savings of $950 will be added to the earnings from tutoring (25x). The inequality is set up with the "greater than or equal to" symbol because Jorelle needs to earn at least $1,300 to cover the expenses.
Therefore, Jorelle must tutor for a minimum of 14 hours (25x ≥ 1,300, x ≥ 14) to have enough money for the trip. Answer: \boxed{14}.
Mary Ann solves the inequality −3x≥12. Justify the steps Mary Ann takes to find the solution set.(1 point)
Responses
Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.
Mary Ann divides both sides of the inequality by negative 3 and changes the inequality symbol to less-than-or-equal-to to get x less-than-or-equal-to negative 4 .
Mary Ann adds −3 to both sides of the inequality and changes the inequality symbol to ≤ to get x≤9.
Mary Ann adds negative 3 to both sides of the inequality and changes the inequality symbol to less-than-or-equal-to to get x less-than-or-equal-to 9 .
Mary Ann divides both sides of the inequality by −3 to get x≥−4.
Mary Ann divides both sides of the inequality by negative 3 to get x greater-than-or-equal-to negative 4 .
Mary Ann adds −3 to both sides of the inequality to get x≥9.
The correct steps that Mary Ann takes to find the solution set for the inequality −3x ≥ 12 are:
Mary Ann divides both sides of the inequality by -3 and changes the inequality symbol to ≤ to get x ≤ -4.
Therefore, the correct answer is: Mary Ann divides both sides of the inequality by -3 and changes the inequality symbol to ≤ to get x ≤ -4.
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
Kirk adds −7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get (−16)<y.
Kirk adds negative 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get left parenthesis negative Start Fraction 1 over 6 End Fraction right parenthesis less than y .
Kirk adds 7 to both sides of the inequality and then multiplies both sides of the equivalent inequality by 12 to get 144<y.
Kirk adds 7 to both sides of the inequality and then multiplies both sides of the equivalent inequality by 12 to get 144 less than y .
Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1<y.
Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 less than y .
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.
The correct statement explaining the steps Kirk uses to find the solution set of the inequality 5 < 12y - 7 is:
Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 < y.
Therefore, the correct answer is: Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 < y.
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
y<7
y less than 7
Hy<7
upper H y less than 7
y<7H
y less than 7 upper H
y<7H
The correct way to solve the linear inequality Hy < 7, where H is a number greater than 0, is:
y < 7/H
Therefore, the correct answer is: y < 7/H.
Which term in the following inequality is a letter coefficient? Bx+72<12(1 point)
Responses
Bx
upper B x
72
72
B
upper B
x
The term in the inequality Bx + 72 < 12 that is a letter coefficient is:
Bx
Therefore, the correct answer is Bx.
1. Click the link to read the short story “A-Ha Moment” by Julia Alvarez.
2. Imagine how the story would be different if it were told from the point of view of a different
character. You may choose the high school student, the businessman, OR the glamorous young
woman.
3. Complete the Brainstorming chart below the instructions to get started.
4. In your own words, retell the original story using the point of view of your chosen character.
○ Remember, you are pretending to BE this character and are speaking AS this person, so
use first person pronouns like “I,” “me,” and “my.”
○ Your story should be at least FIVE paragraphs long and should include the 5 plot
elements.
5. Complete the outline under the Brainstorming chart to help organize your thoughts BEFORE you
begin writing your story.
6. Submit your essay to the dropbox in Unit 1, Lesson 6 in Connexus. Do NOT submit this outline
to the DropBox - you should submit your actual rough draft in an essay format.
*Note: Do NOT copy the original wording of this story. That is considered plagiarism. You should maintain the same basic plot, but
the way in which you tell it should be entirely new using the new characters' style and tone of voice. You can use the original dialogue
of the story!
Requirements:
❏ Write as if you ARE the character using 1st person point of view.
❏ Use chronological (time) order to retell the story.
❏ Organize the 5 plot elements with 5 separate paragraphs.
❏ Use MLA Format
❏ Paste your Check My Work link at the top of the paper.
❏ Use correct grammar, punctuation, capitalization, spelling, and sentence structure.
❏ Final Paper should be 1-2 pages in length.
I'm sorry, but I am an AI language model and I cannot read or access external links. Additionally, I cannot provide completed outlines or full essays for assignments. However, I can help answer any specific questions you may have or provide guidance on how to approach the assignment.
Shantel offers online tutorial services. She charges $25.00 an hour per student. Her budget tracker reflects a total of $3,200.00 monthly expenses. How many hours must Shantel work each month to earn a monthly profit of at least $600.00?
To find out how many hours Shantel must work each month to earn a monthly profit of at least $600.00, we need to take into account her expenses and the amount she charges per hour.
Let's denote the number of hours she needs to work as x.
Her earnings for the month would be $25.00 multiplied by the number of hours worked, which is 25x.
Her total expenses for the month are given as $3,200.00.
To calculate her monthly profit, we subtract her expenses from her earnings:
Profit = Earnings - Expenses
Profit = 25x - 3,200
We know that Shantel wants to earn a profit of at least $600.00, so we can set up the following inequality:
25x - 3,200 ≥ 600
To find the minimum number of hours, we solve this inequality for x:
25x ≥ 600 + 3,200
25x ≥ 3,800
Now, we divide both sides of the inequality by 25 to solve for x:
x ≥ 3,800 / 25
x ≥ 152
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.00.
Solve the inequality Ay+3<12, where A is a number greater than 0. (1 point)
To solve the inequality Ay + 3 < 12, where A is a number greater than 0, we need to isolate y.
First, we subtract 3 from both sides of the inequality:
Ay + 3 - 3 < 12 - 3
Ay < 9
Next, to isolate y, we divide both sides of the inequality by A. Since A is a number greater than 0, we can divide without changing the direction of the inequality:
(Ay)/A < 9/A
y < 9/A
Therefore, the solution to the inequality Ay + 3 < 12, where A is a number greater than 0, is y < 9/A.
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.(1 point)
To determine the minimum number of hours Jorelle must tutor in order to have enough money for the trip, we can set up the following linear inequality:
25x + 950 ≥ 1300 + 80 * 5
Here's how we derived this inequality:
Jorelle earns $25.00 per hour from tutoring, so his total earnings from tutoring would be 25x dollars.
He has $950.00 in savings that he can use towards the trip.
The total cost of the trip, including airfare, food, itineraries, and hotel expenses, is $1300.00 + ($80.00 per night x 5 nights).
We want to find the minimum number of hours Jorelle must tutor (represented by x) so that his total earnings from tutoring, plus his savings of $950.00, is greater than or equal to the total cost of the trip.
Therefore, the linear inequality is:
25x + 950 ≥ 1300 + 80 * 5
Simplifying the right side of the inequality:
25x + 950 ≥ 1300 + 400
25x + 950 ≥ 1700
To find the minimum number of hours Jorelle must tutor, we need to solve this inequality for x:
25x ≥ 1700 - 950
25x ≥ 750
x ≥ 750 / 25
x ≥ 30
Therefore, Jorelle must tutor for a minimum of 30 hours (x ≥ 30) in order to have enough money for the trip.