To solve the inequality -8x + 15 < 31, you need to isolate the variable x on one side of the inequality sign.
Starting with the given inequality:
-8x + 15 < 31
Subtracting 15 from both sides:
-8x < 16
Dividing both sides by -8, remember that when dividing by a negative number, the inequality sign needs to be flipped:
x > -2
Therefore, the solution set for the inequality -8x + 15 < 31 is x > -2.
The correct answer is C.
15 of 2015 of 20 Items
45:44
Question
What is the solution set for -8x + 15 < 31?
Responses
A x > 2x > 2
B x < -2x < -2
C x > -2x > -2
D x < 2
21 answers
16 of 2016 of 20 Items
46:18
Question
A city tour bus charges a $10 service fee plus $10.50 per hour for the tour.
Which equation can be used to find h, the number of hours the tour lasted, if the total cost for each person was $41.50?
Responses
A 41.50 = 10h + 10.5041.50 = 10 h + 10.50
B 41.50 = 10x - 10.50h41.50 = 10x - 10.50 h
C 41.50 = 10 + 10.50h 41.50 = 10 + 10.50 h
D 41.50 = 10h - 10.5041.50 = 10 h - 10.50
46:18
Question
A city tour bus charges a $10 service fee plus $10.50 per hour for the tour.
Which equation can be used to find h, the number of hours the tour lasted, if the total cost for each person was $41.50?
Responses
A 41.50 = 10h + 10.5041.50 = 10 h + 10.50
B 41.50 = 10x - 10.50h41.50 = 10x - 10.50 h
C 41.50 = 10 + 10.50h 41.50 = 10 + 10.50 h
D 41.50 = 10h - 10.5041.50 = 10 h - 10.50
To find the equation that can be used to calculate the number of hours the tour lasted, you need to consider the total cost for each person.
Given that the total cost is $41.50 and the tour bus charges a $10 service fee plus $10.50 per hour, the equation that represents this situation is:
Total cost = Service fee + Hourly rate x Number of hours
Since the total cost is $41.50, the service fee is $10, and the hourly rate is $10.50, the correct equation is:
41.50 = 10 + 10.50h
Therefore, the correct answer is C: 41.50 = 10 + 10.50h.
Given that the total cost is $41.50 and the tour bus charges a $10 service fee plus $10.50 per hour, the equation that represents this situation is:
Total cost = Service fee + Hourly rate x Number of hours
Since the total cost is $41.50, the service fee is $10, and the hourly rate is $10.50, the correct equation is:
41.50 = 10 + 10.50h
Therefore, the correct answer is C: 41.50 = 10 + 10.50h.
Which situation is best represented by the following equation?
45w + 123.95 = 753.95
Responses
A Kristen paid $753.95 to join a gym. She paid a $45 registration fee and pays $123.95 for each month of her membership. What is w, the number of months that she had the membership? Kristen paid $753.95 to join a gym. She paid a $45 registration fee and pays $123.95 for each month of her membership. What is w , the number of months that she had the membership?
B Kristen and her brother paid $753.95 to join a gym. Kristen paid a $123.95 each month of her membership, and her brother paid $45 for each month of her membership. What is w, the number of months that Kristen and her brother had the membership? Kristen and her brother paid $753.95 to join a gym. Kristen paid a $123.95 each month of her membership, and her brother paid $45 for each month of her membership. What is w , the number of months that Kristen and her brother had the membership?
C Kristen paid $753.95 to join a gym. She paid a $123.95 for each month that she was enrolled at the gym after using a coupon that gave her $45 off for each month of his membership. What is w, the number of months that she had the membership?Kristen paid $753.95 to join a gym. She paid a $123.95 for each month that she was enrolled at the gym after using a coupon that gave her $45 off for each month of his membership. What is w , the number of months that she had the membership?
D Kristen paid $753.95 to join a gym. She paid a $123.95 registration fee and pays $45 for each month of her membership. What is w, the number of months that she had the membership?
45w + 123.95 = 753.95
Responses
A Kristen paid $753.95 to join a gym. She paid a $45 registration fee and pays $123.95 for each month of her membership. What is w, the number of months that she had the membership? Kristen paid $753.95 to join a gym. She paid a $45 registration fee and pays $123.95 for each month of her membership. What is w , the number of months that she had the membership?
B Kristen and her brother paid $753.95 to join a gym. Kristen paid a $123.95 each month of her membership, and her brother paid $45 for each month of her membership. What is w, the number of months that Kristen and her brother had the membership? Kristen and her brother paid $753.95 to join a gym. Kristen paid a $123.95 each month of her membership, and her brother paid $45 for each month of her membership. What is w , the number of months that Kristen and her brother had the membership?
C Kristen paid $753.95 to join a gym. She paid a $123.95 for each month that she was enrolled at the gym after using a coupon that gave her $45 off for each month of his membership. What is w, the number of months that she had the membership?Kristen paid $753.95 to join a gym. She paid a $123.95 for each month that she was enrolled at the gym after using a coupon that gave her $45 off for each month of his membership. What is w , the number of months that she had the membership?
D Kristen paid $753.95 to join a gym. She paid a $123.95 registration fee and pays $45 for each month of her membership. What is w, the number of months that she had the membership?
The best situation represented by the equation 45w + 123.95 = 753.95 is:
D. Kristen paid $753.95 to join a gym. She paid a $123.95 registration fee and pays $45 for each month of her membership. The variable w represents the number of months that she had the membership.
D. Kristen paid $753.95 to join a gym. She paid a $123.95 registration fee and pays $45 for each month of her membership. The variable w represents the number of months that she had the membership.
Solar System Scale Quick Check
1 of 41 of 4 Items
Question
A student uses a diagram to show the scale sizes of the planets. Which planet’s diameter would be approximately the distance across the United States?(1 point)
Responses
Neptune
Neptune
Jupiter
Jupiter
Mercury
Mercury
Uranus
1 of 41 of 4 Items
Question
A student uses a diagram to show the scale sizes of the planets. Which planet’s diameter would be approximately the distance across the United States?(1 point)
Responses
Neptune
Neptune
Jupiter
Jupiter
Mercury
Mercury
Uranus
To determine which planet's diameter would be approximately the distance across the United States, we need to compare the sizes of the planets.
The approximate distance across the United States is about 2,800 miles.
Comparing that to the sizes of the planets, we can see that the diameter of Mercury is about 3,032 miles, which is the closest approximation to the distance across the United States.
Therefore, the correct response is:
Mercury
The approximate distance across the United States is about 2,800 miles.
Comparing that to the sizes of the planets, we can see that the diameter of Mercury is about 3,032 miles, which is the closest approximation to the distance across the United States.
Therefore, the correct response is:
Mercury
Suppose a student develops a scale model of the planets. Which two planets should be the closest in diameter on the model?
Comparison of Planet Size
Planet Diameter (km)
Mercury 4,800
Venus 12,100
Earth 12,800
Mars 6,700
Jupiter 143,000
Saturn 120,000
Uranus 51,100
Neptune 50,000(1 point)
Responses
Mars and Jupiter
Mars and Jupiter
Mercury and Neptune
Mercury and Neptune
Uranus and Saturn
Uranus and Saturn
Earth and Venus
Earth and Venus
Skip to navigation
Comparison of Planet Size
Planet Diameter (km)
Mercury 4,800
Venus 12,100
Earth 12,800
Mars 6,700
Jupiter 143,000
Saturn 120,000
Uranus 51,100
Neptune 50,000(1 point)
Responses
Mars and Jupiter
Mars and Jupiter
Mercury and Neptune
Mercury and Neptune
Uranus and Saturn
Uranus and Saturn
Earth and Venus
Earth and Venus
Skip to navigation
To determine which two planets should be the closest in diameter on the scale model, we need to compare the sizes of the planets on the list provided.
Looking at the given diameters, we can see that the closest values are for Earth and Venus.
The diameter of Earth is 12,800 km and the diameter of Venus is 12,100 km.
Therefore, the two planets that should be closest in diameter on the model are Earth and Venus.
The correct response is:
Earth and Venus
Looking at the given diameters, we can see that the closest values are for Earth and Venus.
The diameter of Earth is 12,800 km and the diameter of Venus is 12,100 km.
Therefore, the two planets that should be closest in diameter on the model are Earth and Venus.
The correct response is:
Earth and Venus
Solar System Scale Quick Check
3 of 43 of 4 Items
Question
A student creates a scale model of planets where 1 centimeter (cm) is equal to 10,000 kilometers (km). In this model, which planet would have a diameter of approximately 12 cm?(1 point)
Responses
Saturn
Saturn
Jupiter
Jupiter
Earth
Earth
Mars
3 of 43 of 4 Items
Question
A student creates a scale model of planets where 1 centimeter (cm) is equal to 10,000 kilometers (km). In this model, which planet would have a diameter of approximately 12 cm?(1 point)
Responses
Saturn
Saturn
Jupiter
Jupiter
Earth
Earth
Mars
To determine which planet would have a diameter of approximately 12 cm in the given scale model where 1 cm is equal to 10,000 km, we need to compare the sizes of the planets.
To find the diameter in kilometers for a certain planet in the model, we can multiply the diameter in centimeters by 10,000.
If a planet has a diameter of 12 cm, then its diameter in kilometers would be:
12 cm * 10,000 km/cm = 120,000 km
Looking at the given list, we can see that the planet with a diameter closest to 120,000 km is:
Saturn, with a diameter of approximately 120,000 km
Therefore, the correct response is:
Saturn
To find the diameter in kilometers for a certain planet in the model, we can multiply the diameter in centimeters by 10,000.
If a planet has a diameter of 12 cm, then its diameter in kilometers would be:
12 cm * 10,000 km/cm = 120,000 km
Looking at the given list, we can see that the planet with a diameter closest to 120,000 km is:
Saturn, with a diameter of approximately 120,000 km
Therefore, the correct response is:
Saturn
Which planet will have a diameter that is approximately ten times larger than Mercury on a scale model?(1 point)
Responses
Mars
Mars
Neptune
Neptune
Jupiter
Jupiter
Venus
Responses
Mars
Mars
Neptune
Neptune
Jupiter
Jupiter
Venus
To determine which planet will have a diameter that is approximately ten times larger than Mercury on a scale model, we need to compare the sizes of the planets.
The diameter of Mercury is given as 4,800 km. To find a planet whose diameter is approximately ten times larger, we can multiply 4,800 km by 10.
10 * 4,800 km = 48,000 km
Looking at the given options, the planet with a diameter closest to 48,000 km is Jupiter, with a diameter of 143,000 km.
Therefore, the correct response is:
Jupiter
The diameter of Mercury is given as 4,800 km. To find a planet whose diameter is approximately ten times larger, we can multiply 4,800 km by 10.
10 * 4,800 km = 48,000 km
Looking at the given options, the planet with a diameter closest to 48,000 km is Jupiter, with a diameter of 143,000 km.
Therefore, the correct response is:
Jupiter
Which phrase describes supporting details?(1 point)
Responses
what a text is mostly about
what a text is mostly about
the facts about a topic
the facts about a topic
what a text is called
what a text is called
the titles of sections in a text
Responses
what a text is mostly about
what a text is mostly about
the facts about a topic
the facts about a topic
what a text is called
what a text is called
the titles of sections in a text
The correct response is:
The facts about a topic
The facts about a topic
Which kinds of details should be used to help support a central idea? Select the two correct answers.(1 point)
Responses
statistics
statistics
arguments
arguments
facts
facts
opinions
opinions
judgments
Responses
statistics
statistics
arguments
arguments
facts
facts
opinions
opinions
judgments
The correct responses are:
1. Facts
2. Statistics
Facts provide objective information and evidence that support the central idea, while statistics provide numerical data and evidence that reinforce the central idea. Arguments, opinions, and judgments may have a role in supporting the central idea, but they are subjective and may vary depending on different perspectives.
1. Facts
2. Statistics
Facts provide objective information and evidence that support the central idea, while statistics provide numerical data and evidence that reinforce the central idea. Arguments, opinions, and judgments may have a role in supporting the central idea, but they are subjective and may vary depending on different perspectives.
Identifying Central Ideas Quick Check
3 of 43 of 4 Items
Question
Which term is another name for a central idea?(1 point)
Responses
title
title
main idea
main idea
subheading
subheading
supporting detail
3 of 43 of 4 Items
Question
Which term is another name for a central idea?(1 point)
Responses
title
title
main idea
main idea
subheading
subheading
supporting detail
The term that is another name for a central idea is:
Main idea
Main idea
Which part of an informational text should everything else in the text relate to?(1 point)
Responses
facts
facts
headings
headings
supporting details
supporting details
the central idea
Responses
facts
facts
headings
headings
supporting details
supporting details
the central idea
The part of an informational text that everything else in the text should relate to is:
The central idea
The central idea