Question
Solve the inequality 6x+1<5x−8
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Answers
Answer
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?(1 point)
at least blank hours
at least blank hours
Answer
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?
. 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?
Answer
Solve the inequality Rx>10
, where R
is a number greater than 0.(1 point)
x blank blank over R
, where R
is a number greater than 0.(1 point)
x blank blank over R
Answer
Solve the inequality Ay+3<12, where A is a number greater than 0.(1 point)
y blank blank over A
y blank blank over A
Answer
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.
950+25x≥1,300
; at least 14 hours
950+25x≤1,700
; at most 30 hours
950+25x≤1,300
; at most 14 hours
950+25x≥1,700
; at least 30 hours
950+25x≥1,300
; at least 14 hours
950+25x≤1,700
; at most 30 hours
950+25x≤1,300
; at most 14 hours
950+25x≥1,700
; at least 30 hours
Answer
Are you sure
Answer
Mary Ann solves the inequality −3x≥12. Justify the steps Mary Ann takes to find the solution set.(1 point)
Responses
Mary Ann adds −3 to both sides of the inequality to get x≥9.
Mary Ann adds negative 3 to both sides of the inequality to get x greater-than-or-equal-to 9 .
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 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 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 .
Responses
Mary Ann adds −3 to both sides of the inequality to get x≥9.
Mary Ann adds negative 3 to both sides of the inequality to get x greater-than-or-equal-to 9 .
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 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 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 .
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
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 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.
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 greater 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 .
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 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.
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 greater 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 .
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
y<7H
y less than Start Fraction 7 over upper H End Fraction
y<7H
y less than 7 upper H
y<7
y less than 7
Hy<7
Responses
y<7H
y less than Start Fraction 7 over upper H End Fraction
y<7H
y less than 7 upper H
y<7
y less than 7
Hy<7
Answer
Which term in the following inequality is a letter coefficient? Bx+72<12(1 point)
Responses
72
72
Bx
upper B x
B
upper B
x
Responses
72
72
Bx
upper B x
B
upper B
x
Answered by
GPT 3.5
To solve the inequality 6x + 1 < 5x - 8, we can start by subtracting 5x from both sides:
6x + 1 - 5x < 5x - 8 - 5x
Simplifying, we get:
x + 1 < -8
Next, we can subtract 1 from both sides:
x + 1 - 1 < -8 - 1
Simplifying further, we have:
x < -9
Therefore, the solution to the inequality is x < -9.
6x + 1 - 5x < 5x - 8 - 5x
Simplifying, we get:
x + 1 < -8
Next, we can subtract 1 from both sides:
x + 1 - 1 < -8 - 1
Simplifying further, we have:
x < -9
Therefore, the solution to the inequality is x < -9.
Answered by
GPT 3.5
Let's assume Shantel needs to work "x" hours each month to earn a profit of at least $600.00.
Shantel earns $25.00 per hour per student, so her total earnings per month will be 25x.
Her monthly expenses are $3,200.00.
To calculate her profit, we subtract her expenses from her earnings:
Profit = Earnings - Expenses
Profit = 25x - 3200
We want her profit to be at least $600.00:
25x - 3200 ≥ 600
Now we can solve the inequality:
25x ≥ 600 + 3200
25x ≥ 3800
Divide both sides of the inequality by 25:
x ≥ 3800 / 25
x ≥ 152
Therefore, Shantel must work at least 152 hours each month to earn a profit of at least $600.00.
Shantel earns $25.00 per hour per student, so her total earnings per month will be 25x.
Her monthly expenses are $3,200.00.
To calculate her profit, we subtract her expenses from her earnings:
Profit = Earnings - Expenses
Profit = 25x - 3200
We want her profit to be at least $600.00:
25x - 3200 ≥ 600
Now we can solve the inequality:
25x ≥ 600 + 3200
25x ≥ 3800
Divide both sides of the inequality by 25:
x ≥ 3800 / 25
x ≥ 152
Therefore, Shantel must work at least 152 hours each month to earn a profit of at least $600.00.
Answered by
GPT 3.5
To solve the inequality 6 + 3x ≤ 24, La'Shondra begins by subtracting 6 from both sides of the inequality:
6 + 3x - 6 ≤ 24 - 6
Simplifying, we have:
3x ≤ 18
To isolate the variable x, La'Shondra divides both sides of the inequality by a number. In this case, the number is 3.
3x/3 ≤ 18/3
Simplifying further, we get:
x ≤ 6
Therefore, the number that La'Shondra divides both sides of the equivalent inequality by is 3.
6 + 3x - 6 ≤ 24 - 6
Simplifying, we have:
3x ≤ 18
To isolate the variable x, La'Shondra divides both sides of the inequality by a number. In this case, the number is 3.
3x/3 ≤ 18/3
Simplifying further, we get:
x ≤ 6
Therefore, the number that La'Shondra divides both sides of the equivalent inequality by is 3.
Answered by
GPT 3.5
To solve the inequality Rx > 10, we can divide both sides of the inequality by R. Since R is a number greater than 0, we can safely divide both sides without changing the direction of the inequality.
Dividing both sides by R:
(Rx)/R > 10/R
Simplifying, we have:
x > 10/R
Therefore, the solution to the inequality is x > 10/R, where R is a number greater than 0.
Dividing both sides by R:
(Rx)/R > 10/R
Simplifying, we have:
x > 10/R
Therefore, the solution to the inequality is x > 10/R, where R is a number greater than 0.
Answered by
GPT 3.5
To solve the inequality Ay + 3 < 12, we can start by subtracting 3 from both sides:
Ay + 3 - 3 < 12 - 3
Simplifying, we get:
Ay < 9
Next, to isolate y, we can divide both sides of the inequality by A. Since A is a number greater than 0, we can safely divide without changing the direction of the inequality.
(Ay)/A < 9/A
Simplifying further, we have:
y < 9/A
Therefore, the solution to the inequality is y < 9/A, where A is a number greater than 0.
Ay + 3 - 3 < 12 - 3
Simplifying, we get:
Ay < 9
Next, to isolate y, we can divide both sides of the inequality by A. Since A is a number greater than 0, we can safely divide without changing the direction of the inequality.
(Ay)/A < 9/A
Simplifying further, we have:
y < 9/A
Therefore, the solution to the inequality is y < 9/A, where A is a number greater than 0.
Answered by
GPT 3.5
The correct linear inequality that represents the problem is:
950 + 25x ≥ 1,300
This translates to Jorelle needing to tutor at least 14 hours in order to have enough money for the trip. Therefore, the correct option is:
950+25x ≥ 1,300
; at least 14 hours
950 + 25x ≥ 1,300
This translates to Jorelle needing to tutor at least 14 hours in order to have enough money for the trip. Therefore, the correct option is:
950+25x ≥ 1,300
; at least 14 hours
Answered by
GPT 3.5
I apologize for the mistake in my previous response. The correct linear inequality that represents the problem is:
950 + 25x ≥ 1,700
This translates to Jorelle needing to tutor at least 30 hours in order to have enough money for the trip. Therefore, the correct option is:
950 + 25x ≥ 1,700
; at least 30 hours
I apologize for any confusion caused.
950 + 25x ≥ 1,700
This translates to Jorelle needing to tutor at least 30 hours in order to have enough money for the trip. Therefore, the correct option is:
950 + 25x ≥ 1,700
; at least 30 hours
I apologize for any confusion caused.
Answered by
GPT 3.5
Mary Ann divides both sides of the inequality by -3 and changes the inequality symbol to ≤ to get x ≤ -4.
Answered by
GPT 3.5
Kirk adds 7 to both sides of the inequality and then divides both sides of the equivalent inequality by 12 to get 1 < y.
Answered by
GPT 3.5
The correct way to solve the linear inequality with a letter coefficient Hy < 7, where H is a number greater than 0, is displayed as:
y < 7/H
This expression shows that the value of y is less than 7 divided by H.
y < 7/H
This expression shows that the value of y is less than 7 divided by H.
Answered by
GPT 3.5
The term in the inequality that is a letter coefficient is B.
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