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A photo booth charges a $500 fee for two hours at a party, plus $50 per additional hour. Cindy doesn't want to spend more than...Asked by BTS ARMY
A photo booth charges a $500 fee for two hours at a party, plus $50 per additional hour. Cindy doesn't want to spend more than $700 on the photo booth rental. What is the maximum number of additional hours (beyond the first two) that Cindy can rent the photo booth for her party?
Responses
A 3
B 4
C 5
D 6
E 7
Responses
A 3
B 4
C 5
D 6
E 7
Answers
Answered by
BTS ARMY
Stephen and Rocco each have apps on their phones.
• The number of apps on Stephen’s phone can be represented by x.
• The number of apps on Rocco’s phone is 4 times the number of apps on Stephen’s phone.
• The total number of apps on both boys’ phones is at least 45.
What is the solution set for x, the number of apps on Stephen’s phone?
Responses
A x ≥ -9
B x ≤ 9
C x ≥ 9
D x ≤ -9
• The number of apps on Stephen’s phone can be represented by x.
• The number of apps on Rocco’s phone is 4 times the number of apps on Stephen’s phone.
• The total number of apps on both boys’ phones is at least 45.
What is the solution set for x, the number of apps on Stephen’s phone?
Responses
A x ≥ -9
B x ≤ 9
C x ≥ 9
D x ≤ -9
Answered by
BTS ARMY
George went to the store to buy notebooks.
• He had $36 to spend.
• He purchased 4 notebooks.
• After buying the notebooks, George had less than $12 left.
What is the solution set for x, the cost of each notebook?
Responses
A x > $4
B x > $3
C x > $6
D x > $5
• He had $36 to spend.
• He purchased 4 notebooks.
• After buying the notebooks, George had less than $12 left.
What is the solution set for x, the cost of each notebook?
Responses
A x > $4
B x > $3
C x > $6
D x > $5
Answered by
BTS ARMY
A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on catering. Write and solve an inequality in terms of the number of guests, g, that can be invited.
Responses
A 300 - 40g ≥ 5000; g ≥117
B 300 - 40g ≤ 5000; g ≤ 118
C 300 + 40g ≤ 5000; g ≤ 117
D 300 + 40g ≤ 5000; g ≤ 118
Responses
A 300 - 40g ≥ 5000; g ≥117
B 300 - 40g ≤ 5000; g ≤ 118
C 300 + 40g ≤ 5000; g ≤ 117
D 300 + 40g ≤ 5000; g ≤ 118
Answered by
BTS ARMY
Jasmine is on a cell phone plan where she pays $20 a month plus $0.10 per text message. She does not want to spend more than $40 on her cell phone bill. Write and solve the inequality that will tell her how many text messages she can send.
Responses
A 20 + 10x ≤ 40; She can send 2 text messages.
B 20 + 10x ≥ 40; She can send 2 text messages.
C 20 + 0.10x ≤ 40; She can send 20 text messages.
D 20 + 0.10x ≤ 40; She can send 200 text messages.
Responses
A 20 + 10x ≤ 40; She can send 2 text messages.
B 20 + 10x ≥ 40; She can send 2 text messages.
C 20 + 0.10x ≤ 40; She can send 20 text messages.
D 20 + 0.10x ≤ 40; She can send 200 text messages.
Answered by
BTS ARMY
The Mitchell family is renting a boat for the day. The boat rental has a flat fee of $100 plus $20 for each hour. They have to pay for a whole hour even if they are not out on the lake for a whole hour. For example, if they rent the boat for 3 and one-half hours, they have to pay for 4 hours.
If they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? Formulate an inequality and solve.
Responses
A 100 + 20x ≤ 250; They can boat for 7 hours.
B 100 + 20x ≥ 250; They can boat for 8 hours.
C 100 + 20x ≤ 250; They can boat for 8 hours.
D 100 + 20x ≥ 250; They can boat for 7 hours.
If they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? Formulate an inequality and solve.
Responses
A 100 + 20x ≤ 250; They can boat for 7 hours.
B 100 + 20x ≥ 250; They can boat for 8 hours.
C 100 + 20x ≤ 250; They can boat for 8 hours.
D 100 + 20x ≥ 250; They can boat for 7 hours.
Answered by
GPT 3.5
The cost of renting the photo booth for two hours is $500. If Cindy wants to spend no more than $700, that means she has $200 left to spend on additional hours. Each additional hour costs $50. To determine the maximum number of additional hours Cindy can rent the photo booth, divide the remaining budget ($200) by the cost per additional hour ($50).
$200 / $50 = 4
Cindy can rent the photo booth for a maximum of 4 additional hours.
Therefore, the correct answer is B) 4.
$200 / $50 = 4
Cindy can rent the photo booth for a maximum of 4 additional hours.
Therefore, the correct answer is B) 4.
Answered by
GPT 3.5
Let's set up the equation to represent the information given.
The number of apps on Stephen's phone is represented by x.
The number of apps on Rocco's phone is 4 times the number of apps on Stephen's phone, so it is 4x.
The total number of apps on both boys' phones is at least 45, so the equation is:
x + 4x ≥ 45
Combining like terms, we get:
5x ≥ 45
Dividing both sides of the inequality by 5, we get:
x ≥ 9
Therefore, the solution set for x, the number of apps on Stephen's phone, is x ≥ 9.
The correct answer is C) x ≥ 9.
The number of apps on Stephen's phone is represented by x.
The number of apps on Rocco's phone is 4 times the number of apps on Stephen's phone, so it is 4x.
The total number of apps on both boys' phones is at least 45, so the equation is:
x + 4x ≥ 45
Combining like terms, we get:
5x ≥ 45
Dividing both sides of the inequality by 5, we get:
x ≥ 9
Therefore, the solution set for x, the number of apps on Stephen's phone, is x ≥ 9.
The correct answer is C) x ≥ 9.
Answered by
GPT 3.5
Let's set up the equation to represent the information given.
George had $36 to spend and he purchased 4 notebooks.
The cost of each notebook can be represented by x.
The total cost of the notebooks is 4x.
After buying the notebooks, George had less than $12 left, so we can write the inequality:
36 - 4x < 12
Subtracting 36 from both sides of the inequality, we get:
-4x < 12 - 36
-4x < -24
Dividing both sides of the inequality by -4, we need to change the direction of the inequality:
x > 6
Therefore, the solution set for x, the cost of each notebook, is x > $6.
The correct answer is C) x > $6.
George had $36 to spend and he purchased 4 notebooks.
The cost of each notebook can be represented by x.
The total cost of the notebooks is 4x.
After buying the notebooks, George had less than $12 left, so we can write the inequality:
36 - 4x < 12
Subtracting 36 from both sides of the inequality, we get:
-4x < 12 - 36
-4x < -24
Dividing both sides of the inequality by -4, we need to change the direction of the inequality:
x > 6
Therefore, the solution set for x, the cost of each notebook, is x > $6.
The correct answer is C) x > $6.
Answered by
GPT 3.5
Let's set up the inequality to represent the information given.
The catering company charges $300 plus $40 per guest for a wedding.
The total cost of catering can be represented as 300 + 40g, where g is the number of guests.
Sarah and Eric do not want to spend more than $5,000 on catering.
This can be represented as 300 + 40g ≤ 5000.
To solve this inequality for the maximum number of guests that can be invited, we need to isolate g.
Subtracting 300 from both sides of the inequality, we get:
40g ≤ 5000 - 300
40g ≤ 4700
Dividing both sides of the inequality by 40, we get:
g ≤ 4700/40
g ≤ 117.5
Since the number of guests cannot be a decimal, we round down to the nearest whole number to get:
g ≤ 117
Therefore, the solution set for g, the number of guests that can be invited, is g ≤ 117.
The correct answer is A) 300 - 40g ≥ 5000; g ≥ 117.
The catering company charges $300 plus $40 per guest for a wedding.
The total cost of catering can be represented as 300 + 40g, where g is the number of guests.
Sarah and Eric do not want to spend more than $5,000 on catering.
This can be represented as 300 + 40g ≤ 5000.
To solve this inequality for the maximum number of guests that can be invited, we need to isolate g.
Subtracting 300 from both sides of the inequality, we get:
40g ≤ 5000 - 300
40g ≤ 4700
Dividing both sides of the inequality by 40, we get:
g ≤ 4700/40
g ≤ 117.5
Since the number of guests cannot be a decimal, we round down to the nearest whole number to get:
g ≤ 117
Therefore, the solution set for g, the number of guests that can be invited, is g ≤ 117.
The correct answer is A) 300 - 40g ≥ 5000; g ≥ 117.
Answered by
GPT 3.5
Let's set up the inequality to represent the information given.
Jasmine pays $20 a month plus $0.10 per text message.
The total cost of her cell phone bill can be represented as 20 + 0.10x, where x is the number of text messages.
Jasmine does not want to spend more than $40 on her cell phone bill.
This can be represented as 20 + 0.10x ≤ 40.
To solve this inequality for the maximum number of text messages she can send, we need to isolate x.
Subtracting 20 from both sides of the inequality, we get:
0.10x ≤ 40 - 20
0.10x ≤ 20
Dividing both sides of the inequality by 0.10, we get:
x ≤ 20/0.10
x ≤ 200
Therefore, the solution set for x, the number of text messages Jasmine can send, is x ≤ 200.
The correct answer is D) 20 + 0.10x ≤ 40; She can send 200 text messages.
Jasmine pays $20 a month plus $0.10 per text message.
The total cost of her cell phone bill can be represented as 20 + 0.10x, where x is the number of text messages.
Jasmine does not want to spend more than $40 on her cell phone bill.
This can be represented as 20 + 0.10x ≤ 40.
To solve this inequality for the maximum number of text messages she can send, we need to isolate x.
Subtracting 20 from both sides of the inequality, we get:
0.10x ≤ 40 - 20
0.10x ≤ 20
Dividing both sides of the inequality by 0.10, we get:
x ≤ 20/0.10
x ≤ 200
Therefore, the solution set for x, the number of text messages Jasmine can send, is x ≤ 200.
The correct answer is D) 20 + 0.10x ≤ 40; She can send 200 text messages.
Answered by
GPT 3.5
Let's set up the inequality to represent the information given.
The boat rental has a flat fee of $100 plus $20 for each hour.
The total cost of the boat rental can be represented as 100 + 20x, where x is the number of hours.
They want to spend $250 or less on the boat rental for the day.
This can be represented as 100 + 20x ≤ 250.
To solve this inequality for the maximum number of hours they can rent the boat, we need to isolate x.
Subtracting 100 from both sides of the inequality, we get:
20x ≤ 250 - 100
20x ≤ 150
Dividing both sides of the inequality by 20, we get:
x ≤ 150/20
x ≤ 7.5
Since they have to pay for a whole hour even if they are not out on the lake for a whole hour, they cannot rent the boat for a fraction of an hour. Therefore, they can rent the boat for a maximum of 7 hours.
Therefore, the solution set for x, the number of hours they can rent the boat, is x ≤ 7.
The correct answer is D) 100 + 20x ≥ 250; They can boat for 7 hours.
The boat rental has a flat fee of $100 plus $20 for each hour.
The total cost of the boat rental can be represented as 100 + 20x, where x is the number of hours.
They want to spend $250 or less on the boat rental for the day.
This can be represented as 100 + 20x ≤ 250.
To solve this inequality for the maximum number of hours they can rent the boat, we need to isolate x.
Subtracting 100 from both sides of the inequality, we get:
20x ≤ 250 - 100
20x ≤ 150
Dividing both sides of the inequality by 20, we get:
x ≤ 150/20
x ≤ 7.5
Since they have to pay for a whole hour even if they are not out on the lake for a whole hour, they cannot rent the boat for a fraction of an hour. Therefore, they can rent the boat for a maximum of 7 hours.
Therefore, the solution set for x, the number of hours they can rent the boat, is x ≤ 7.
The correct answer is D) 100 + 20x ≥ 250; They can boat for 7 hours.