Prehistory is the time before____?______
•modern human beings existed
•people left written records
•people created calendars
•people began to study history
Prehistory is the time before modern human beings existed
Which of the following is an example of a trade barrier?
Capitalism
Tariff
Gross domestic product
Comparative advantage
Tariff
Which of the following drives the free market?
Capitalism
Which of the following drives the free market economy?
The needs and wants of the people
The supply of goods in the market
The number of consumers in the market
The gross domestic product
The needs and wants of the people drive the free market economy.
Which term describes the choices that people must make to meet their wants and needs?
Supply
Demand
Opportunity cost
Producers
Opportunity cost describes the choices that people must make to meet their wants and needs.
Abraham needs one-half of a point to get an A- in math. What rational number can be used to represent the number of points needed for Abraham to get an A-?
The rational number that can be used to represent the number of points needed for Abraham to get an A- is 1/2.
Place the following numbers in order as they would appear on a number line, left to right: −2.0, 0.25, −1.02, 1.98.(1 point)
Responses
1.98, 0.25, −1.02, −2.0
1.98, 0.25, negative 1.02 , negative 2.0
−1.02, −2.0, 0.25, 1.98
negative 1.02 , negative 2.0 , 0.25, 1.98
−2.0, −1.02, 0.25, 1.98
negative 2.0 , negative 1.02 , 0.25, 1.98
0.25, −1.02, 1.98, −2.
−2.0, −1.02, 0.25, 1.98
Find the sum of p and q if p=34 and q=−114. Reduce your answer to lowest terms.(1 point)
The sum of p and q, when p = 34 and q = -114, is equal to:
p + q = 34 + (-114) = -80
So, the sum of p and q, in lowest terms, is -80.
Add (−12) and (−15).(1 point)
To add -12 and -15, we simply add the two numbers together:
(-12) + (-15) = -27
So, -12 plus -15 equals -27.
Add 10.82+(−15.96).(1 point)
To add 10.82 and -15.96, we simply add the two numbers together:
10.82 + (-15.96) = -5.14
So, 10.82 plus -15.96 equals -5.14.
Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?(1 point)
A real-world problem that could be solved with the sum 102.50 + (-39.95) could be calculating the net profit or loss of a business transaction. For example, if a company had a revenue of $102.50 and expenses of $39.95, the sum of the two numbers would give the overall profit or loss of the transaction.
Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?(1 point)
Responses
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
The real-world problem that could be solved with the sum 102.50 + (-39.95) is: "Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?"
Solve the following problem:
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?(1 point)
°C
To find the temperature now, we need to find the sum of the initial temperature and the change in temperature:
13°C + (-18.6°C) = -5.6°C
Therefore, the temperature now is -5.6°C.
Use the additive inverse to find −492.89−(−871.78).(1 point)
To find the difference between -492.89 and -871.78, we can use the additive inverse. The additive inverse of -871.78 is 871.78 (changing the sign). So, the problem becomes:
-492.89 + 871.78 = 378.89
Therefore, the expression -492.89 - (-871.78) is equal to 378.89.
Determine the distance between −18.26 and −2.45 on a number line.(1 point)
Responses
To determine the distance between -18.26 and -2.45 on a number line, we calculate the absolute difference between the two numbers:
|-18.26 - (-2.45)| = |-18.26 + 2.45| = |-15.81| = 15.81
Therefore, the distance between -18.26 and -2.45 on a number line is 15.81 units.
Subtract 24−(−15).(1 point)
To subtract 24 - (-15), we can rewrite the problem as addition:
24 + 15 = 39
Therefore, 24 - (-15) equals 39.
What is 1749 + 59 − 8 − 10?(1 point)
To find the value of the expression 1749 + 59 - 8 - 10, we perform the addition and subtraction operations from left to right:
1749 + 59 = 1808
1808 - 8 = 1800
1800 - 10 = 1790
Therefore, the value of the expression 1749 + 59 - 8 - 10 is 1790.
What is 17 4/9 + 59 − 8 − 10?(1 point)
To find the value of the expression 17 4/9 + 59 - 8 - 10, we perform the addition and subtraction operations from left to right:
First, we convert the mixed number 17 4/9 to an improper fraction:
17 4/9 = (9 * 17 + 4) / 9 = 157/9
Now, we can calculate the expression:
157/9 + 59 = (157 + 9 * 59) / 9 = (157 + 531) / 9 = 688 / 9
To simplify further, we can express 688 as a mixed number:
688 / 9 = 76 4/9
Finally, we perform the remaining subtractions:
76 4/9 - 8 = 76 - 8 + 4/9 = 68 + 4/9 = 68 4/9
68 4/9 - 10 = 68 - 10 + 4/9 = 58 + 4/9 = 58 4/9
Therefore, the value of the expression 17 4/9 + 59 - 8 - 10 is 58 4/9.
Which context describes a difference of rational numbers?(1 point)
Responses
The team’s score increased when scoring.
The team’s score increased when scoring.
A football player loses yards on a play.
A football player loses yards on a play.
A football player gains yards on a play.
A football player gains yards on a play.
The team’s score did not change during the game.
The team’s score did not change during the game.
The context that describes a difference of rational numbers is: A football player loses yards on a play.
Joey walked east for 1523 meters from home. Then, he walked west for 2134 meters. How far was Joey from home?(1 point)
Joey was
meters from home.
To find how far Joey was from home, we need to calculate the absolute difference between the distances he walked east and west:
1523 meters - 2134 meters = -611 meters
Since Joey walked west after walking east, the distance is negative. To find the absolute value, we take the positive value of -611 meters:
|-611 meters| = 611 meters
Therefore, Joey was 611 meters from home.
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses
A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 10,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 10,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
The situation that describes opposite quantities that when combined would equal 0 is: A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
This is because ascending 15,000 feet is the opposite of descending 15,000 feet, and when combined, it would result in a net change of 0 feet.
Solve the following word problem. The air temperature at 9 a.m. is −5.8 degrees Celsius. The air temperature at noon is −1.6 degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means.
To find the change in temperature during the three hours from 9 a.m. to noon, we can subtract the temperature at 9 a.m. from the temperature at noon:
Change in Temperature = Temperature at Noon - Temperature at 9 a.m.
Change in Temperature = (-1.6°C) - (-5.8°C)
Change in Temperature = -1.6°C + 5.8°C
Change in Temperature = 4.2°C
So, the change in temperature during the three hours is 4.2 degrees Celsius.
This means that the temperature increased by 4.2 degrees Celsius from 9 a.m. to noon.
What is 1749 + 59 − 8 − 10?(1 point)
Responses
20
20
−1
negative 1
−7
negative 7
0
The sum of 1749, 59, negative 8, and negative 10 is:
1749 + 59 - 8 - 10 = 1790 - 18 = 1772
Therefore, the value of 1749 + 59 - 8 - 10 is 1772.
What is 17 4/9 + 5/9 − 8 − 10?(1 point)
Responses
20
20
−1
negative 1
−7
negative 7
0
To solve the expression 17 4/9 + 5/9 - 8 - 10, we first convert the mixed number 17 4/9 to an improper fraction:
17 4/9 = (9 * 17 + 4)/9 = 157/9
Now we substitute the values into the expression and perform the operations:
(157/9) + (5/9) - 8 - 10 = (157/9 + 5/9) - 8 - 10 = (162/9) - 8 - 10
Next, we simplify the expression:
(162/9) - 8 - 10 = (162 - 72 - 90)/9 = 0/9 = 0
Therefore, the value of the expression 17 4/9 + 5/9 - 8 - 10 is 0.
Determine the sign of the product of 17/32 ×(−1/10).(1 point)
Drag the boxes under the correct label to indicate whether each item is a right or a responsibility.
(2 points)