Question

Suppose y varies directly as x and y = 24 when x = 3 Find x when y = 88
Answer
Which phrase best defines scarcity?

(1 point)
Responses

a state in which productive resources are not enough to create a given good or service

a state in which productive resources are not enough to create a given good or service

a state in which human wants are greater than the resources available to fill those wants

a state in which human wants are greater than the resources available to fill those wants

a state in which too few choices exist for a consumer to fulfill needs and wants

a state in which too few choices exist for a consumer to fulfill needs and wants

a state in which the opportunity costs of a given choice are less than the benefits of a given choice

a state in which the opportunity costs of a given choice are less than the benefits of a given choice
Answer
How are capital resources used in production?

(1 point)
Responses

They allow producers better access to world markets.

They allow producers better access to world markets.

They provide tools that make production more efficient.

They provide tools that make production more efficient.

They make it possible to employ more skilled laborers.

They make it possible to employ more skilled laborers.

They purchase the raw materials needed for production.
Answer
Which of these is the most likely opportunity cost of choosing to play a board game rather than going to the movies?

(1 point)
Responses

being able to visit with friends

being able to visit with friends

spending money on the board game

spending money on the board game

being able to see a new movie

being able to see a new movie

spending money on the movie tickets

spending money on the movie tickets
Answer
Kevin decides to go straight to work after high school instead of going to college. What is the most likely long-term consequence of his decision?

(1 point)
Responses

changing jobs often

changing jobs often

having lots of debt

having lots of debt

making less money

making less money

not finding work

not finding work
Answer
Which of the following is one of the three basic economic questions?

(1 point)
Responses

For whom to produce

For whom to produce

How many units to produce.

How many units to produce.

Which resources to use to produce?

Which resources to use to produce?

Which types of production are most important?
Answer
What would an economist expect if the negative incentives for bad behavior in a school became stricter?

(1 point)
Responses

Students would be less likely to break the rules, because the expectations are clearer.

Students would be less likely to break the rules, because the expectations are clearer.

Students would be less likely to break the rules, because punishments have become worse.

Students would be less likely to break the rules, because punishments have become worse.

Students would be more likely to break the rules, because more rules are available to break.

Students would be more likely to break the rules, because more rules are available to break.

Students would be more likely to break the rules, because the feelings of excitement are higher.
Answer
How does free trade affect the United States? Select all that apply.

(1 point)
Responses

lower prices

lower prices

decreased wages

decreased wages

higher farm profits

higher farm profits

less variety in businesses

less variety in businesses

more low-skill jobs

more low-skill jobs

increased consumer choice
Answer
Which of these would most likely be a feature of a free trade agreement?

(1 point)
Responses

removing tariffs from imported goods

removing tariffs from imported goods

raising taxes on exported goods

raising taxes on exported goods

making it illegal to hire workers in other countries

making it illegal to hire workers in other countries

providing money directly to local manufacturers
Answer
Given the sum 70=25+45, rewrite 25+45 using their GCF and multiplication.(1 point)
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Answer
Given the sum 99=33+66, rewrite 33+66 using their GCF and multiplication.(1 point)
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Answer
Given the sum 30=12+18, rewrite 12+18 using their GCF and multiplication.(1 point)
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Answer
Given the sum 85, rewrite 35+50 using their GCF and multiplication.(1 point)
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Answer
Given the sum 100=25+75, rewrite 25+75 using their GCF and multiplication.(1 point)
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Answer
Philip is sorting acorns he collected. He has 92 acorns: 66 still have their tops, 26 do not. Philip wants to sort the acorns into groups with the same number of acorns, including some with and without tops. He wants each group to have an equal number of acorns with tops and an equal number of acorns without tops. Which answer best shows how Philip can represent how he should sort the acorns?(1 point)
Responses

24(3+1)
24 left parenthesis 3 plus 1 right parenthesis

6(11+4)
6 left parenthesis 11 plus 4 right parenthesis

2(33+13)
2 left parenthesis 33 plus 13 right parenthesis

1(66+26)
Answer

The Distributive Property Quick Check
2 of 52 of 5 Items
Question
Mei is playing a game with numbers. She decides to rewrite the number 78 using the Distributive Property. Which answer is a correct way to rewrite 78 using the Distributive Property of Multiplication over Addition?(1 point)
Responses

78=11+67=(1×11)+(1×67)=1(11×67)
78 equals 11 plus 67 equals left parenthesis 1 times 11 right parenthesis plus left parenthesis 1 times 67 right parenthesis equals 1 left parenthesis 11 times 67 right parenthesis

78=22+56=(2×11)+(2×28)=2(11×28)
78 equals 22 plus 56 equals left parenthesis 2 times 11 right parenthesis plus left parenthesis 2 times 28 right parenthesis equals 2 left parenthesis 11 times 28 right parenthesis

78=18+60=(6×3)+(6×10)=6(3+10)
78 equals 18 plus 60 equals left parenthesis 6 times 3 right parenthesis plus left parenthesis 6 times 10 right parenthesis equals 6 left parenthesis 3 plus 10 right parenthesis

78=24+54=(6×4)+(6×9)=6(4×9)
Answer

The Distributive Property Quick Check
3 of 53 of 5 Items
Question
Sven is making a school supply display. Sven has 52 notebooks and 42 binders. Sven wants to group the supplies in the display so that there are an equal number of supplies in each group. If we know that Sven puts the same number of notebooks and the same number of binders into each group, how many groups did he display and how many of each item went into each group? Represent your answer using the Distributive Property of Multiplication over Addition.(1 point)
Responses

Sven made 2 groups. He put 26 notebooks and 21 binders into each group. Using the Distributive Property, the answer can be shown as 2(26×21).
Sven made 2 groups. He put 26 notebooks and 21 binders into each group. Using the Distributive Property, the answer can be shown as 2 left parenthesis 26 times 21 right parenthesis .

Sven made 1 group. He put all 52 notebooks and all 42 binders into that one group. Using the Distributive Property, the answer can be shown as 1(52×42).
Sven made 1 group. He put all 52 notebooks and all 42 binders into that one group. Using the Distributive Property, the answer can be shown as 1 left parenthesis 52 times 42 right parenthesis .

Sven made 2 groups. He put 26 notebooks and 21 binders into each group. Using the Distributive Property, the answer can be shown as 2(26+21).
Sven made 2 groups. He put 26 notebooks and 21 binders into each group. Using the Distributive Property, the answer can be shown as 2 left parenthesis 26 plus 21 right parenthesis .

Sven made 1 group. He put all 52 notebooks and all 42 binders into that one group. Using the Distributive Property, the answer can be shown as 1(52+42).
Answer
Given the sum 100=64+36, rewrite 64+36 using their GCF and multiplication.(1 point)
Responses

1(64+36)
1 left parenthesis 64 plus 36 right parenthesis

4(16×9)
4 left parenthesis 16 times 19 right parenthesis

2(32+18)
2 left parenthesis 32 plus 18 right parenthesis

4(16+9)
Answer
Given the sum 18=6+12, rewrite 6+2 using their GCF and multiplication.(1 point)
Responses

1(6+12)
1 left parenthesis 6 plus 12 right parenthesis

6(1+2)
6 left parenthesis 1 plus 2 right parenthesis

6(1×2)
6 left parenthesis 1 times 2 right parenthesis

3(2+4)
3 left parenthesis 2 plus 4 right parenthesis
Answered by GPT 3.5
To solve this problem, we can use the direct variation equation:

y = kx

where k is the constant of variation. We can find the value of k by plugging in the given values into the equation:

24 = k * 3

Dividing both sides by 3 gives us:

k = 24/3 = 8

Now that we have the value of k, we can find x when y = 88 by rearranging the equation:

88 = 8x

Dividing both sides by 8 gives us:

x = 88/8 = 11

Therefore, when y = 88, x = 11.
Answered by GPT 3.5
The correct answer is:

a state in which human wants are greater than the resources available to fill those wants
Answered by GPT 3.5
The correct answer is:

They provide tools that make production more efficient.
Answered by GPT 3.5
The most likely opportunity cost of choosing to play a board game rather than going to the movies is:

being able to see a new movie
Answered by GPT 3.5
The most likely long-term consequence of Kevin's decision to go straight to work after high school instead of going to college is:

making less money
Answered by GPT 3.5
One of the three basic economic questions is:

For whom to produce.
Answered by GPT 3.5
An economist would expect that if the negative incentives for bad behavior in a school became stricter:

Students would be less likely to break the rules, because punishments have become worse.
Answered by GPT 3.5
Free trade affects the United States in the following ways:

- lower prices
- higher farm profits
- increased consumer choice
Answered by GPT 3.5
The most likely feature of a free trade agreement is:

removing tariffs from imported goods
Answered by GPT 3.5
To rewrite 25+45 using their greatest common factor (GCF) and multiplication, we need to find the GCF of 25 and 45, which is 5.

Now we can write it as:

25 + 45 = (5 * 5) + (5 * 9)

Factoring out the GCF, we get:

25 + 45 = 5 * (5 + 9)

Therefore, 25+45 can be rewritten as 5 * (5 + 9).
Answered by GPT 3.5
To rewrite 33+66 using their greatest common factor (GCF) and multiplication, we need to find the GCF of 33 and 66, which is 33.

Now we can write it as:

33 + 66 = (33 * 1) + (33 * 2)

Factoring out the GCF, we get:

33 + 66 = 33 * (1 + 2)

Therefore, 33+66 can be rewritten as 33 * (1 + 2).
Answered by GPT 3.5
To rewrite 12+18 using their greatest common factor (GCF) and multiplication, we need to find the GCF of 12 and 18, which is 6.

Now we can write it as:

12 + 18 = (6 * 2) + (6 * 3)

Factoring out the GCF, we get:

12 + 18 = 6 * (2 + 3)

Therefore, 12+18 can be rewritten as 6 * (2 + 3).
Answered by GPT 3.5
To rewrite 35+50 using their greatest common factor (GCF) and multiplication, we first need to find the GCF of 35 and 50, which is 5.

Now we can rewrite it as:

35 + 50 = (5 * 7) + (5 * 10)

Factoring out the GCF, we get:

35 + 50 = 5 * (7 + 10)

Therefore, 35+50 can be rewritten as 5 * (7 + 10).
Answered by GPT 3.5
To rewrite 25+75 using their greatest common factor (GCF) and multiplication, we need to find the GCF of 25 and 75, which is 25.

Now we can write it as:

25 + 75 = (25 * 1) + (25 * 3)

Factoring out the GCF, we get:

25 + 75 = 25 * (1 + 3)

Therefore, 25+75 can be rewritten as 25 * (1 + 3).
Answered by GPT 3.5
To represent how Philip should sort the acorns, the answer is:

1(66+26)

This means that Philip needs to create one group with 66 acorns with tops and 26 acorns without tops.
Answered by GPT 3.5
To rewrite 78 using the Distributive Property of Multiplication over Addition, the correct answer is:

78 = 6(4×9)

This means that 78 can be expressed as 6 times the sum of 4 and 9.
Answered by GPT 3.5
Sven made 2 groups. He put 26 notebooks and 21 binders into each group. Using the Distributive Property, the answer can be shown as 2(26×21).
Answered by GPT 3.5
To rewrite 64+36 using their greatest common factor (GCF) and multiplication, we need to find the GCF of 64 and 36, which is 4.

Now we can write it as:

64 + 36 = (4 * 16) + (4 * 9)

Factoring out the GCF, we get:

64 + 36 = 4 * (16 + 9)

Therefore, 64+36 can be rewritten as 4 * (16 + 9).
Answered by GPT 3.5
To rewrite 6+12 using their greatest common factor (GCF) and multiplication, we need to find the GCF of 6 and 12, which is 6.

Now we can write it as:

6 + 12 = (6 * 1) + (6 * 2)

Factoring out the GCF, we get:

6 + 12 = 6 * (1 + 2)

Therefore, 6+12 can be rewritten as 6 * (1 + 2).