✅

D) the arrangement of her hair<|im_end|>

A) degree to which a friendship has blossomed<|im_end|>

✅

B) Juxtapose two peoples' sentiments<|im_end|>

(A)<|im_end|>

A<|im_end|>

✅

offered to lend her one.<|im_end|>

Ben used his hat as a substitute pawn.<|im_end|>

Paul had thought ahead.<|im_end|>

They discovered a hidden stash of sports equipment, including multiple volleyballs.<|im_end|>

✅

C<|im_end|>

✅

C<|im_end|>

✅

A) It is very old<|im_end|>

B) Short and dark with a big mustache and big hands
The passage describes Jim as short and dark with big mustaches and big hands, indicating his appearance.<|im_end|>

To find the location of the daughter, we can use the process of elimination.

1. The person in Britain has the broken sword.
2. The son, who is not in Denmark, neither has the gold doubloon nor the silver watch.
3. The family member in Egypt has the family tree.
4. The mother has the silver watch but isn't in Mexico.
5. The grandmother has the gold doubloon and is either in Denmark or Canada.

From the information given, we know the following:
- Mexico: Not the mother (has silver watch) and not the grandmother (has gold doubloon)
- Britain: Father (broken sword)
- Canada: Either the father (broken sword) or the grandmother (gold doubloon)
- Denmark: Either the grandmother (gold doubloon) or the son (silver watch)
- Egypt: The mother (family tree)

Now, let's consider the son's location:
- If the son is in Denmark, he doesn't have the silver watch (given in statement 2).
- If the son is in Canada, he could have the silver watch or the gold doubloon.

Since the daughter doesn't have the gold doubloon or the silver watch, she can't be in Denmark either. So, the only remaining option is Canada.

Hence, the daughter is in Canada.<|im_end|>

The Mother is in Canada.

Reasoning:

1. If Grandmother is in Denmark, then Father must be in Mexico, Egypt, or Canada, as Son cannot be in Denmark.
2. Father cannot be in Egypt, as the family tree is there.
3. Father also cannot have the silver watch, as the Mother has it and isn't in Mexico.
4. So, Father must be in Canada with the oceanic map.
5. Now, since Mother cannot be in Mexico, she must be in Canada.<|im_end|>

◆▲★<|im_end|>

✅

★ ◆ ● ▲<|im_end|>

●▲★◆<|im_end|>

●, ★, ▲, ◆<|im_end|>

To find the value of 4 ◘ 3, we need to substitute x = 4 and y = 3 into the given operation definition.

x ◘ y = 2x - 3y + 1

Substitute x = 4 and y = 3:

4 ◘ 3 = 2(4) - 3(3) + 1

Now, perform the operations inside the parentheses:

4 ◘ 3 = 8 - 9 + 1

Next, perform the addition and subtraction from left to right:

4 ◘ 3 = -1 + 1

Finally, perform the remaining addition:

4 ◘ 3 = 0

So, the value of 4 ◘ 3 is 0.<|im_end|>

To find out how long it will take John to reach the park, we can use the formula:

Time = Distance / Speed

In this case, the distance is 60 miles and the speed is 30 mph. Plugging these values into the formula, we get:

Time = 60 miles / 30 mph

Now, we can simplify the expression by dividing:

Time = 2 hours

So, it will take John 2 hours to reach the park.<|im_end|>

Let's first determine the possible duplicate digit scenarios:

1. Hundreds' place duplicates tens' place: In this case, the digit in the ones' place must be different from both hundreds' and tens' place digits. Since the integer is greater than 99, the hundreds' and tens' place digits must be 9. So, the integer will be in the form of 99x, where x is a digit from 0 to 9. There are 10 possible integers in this scenario (0 to 9).

2. Tens' place duplicates ones' place: In this case, the digit in the hundreds' place must be different from both tens' and ones' place digits. The tens' and ones' place digits can be any of the digits from 0 to 9. So, there are 100 possible integers in this scenario (00 to 99).

Now, we need to find the integers that are greater than 99 and less than 200. For the first scenario, all 10 integers are within this range. For the second scenario, we need to exclude those integers that are either less than or equal to 99 or greater than or equal to 200. Since the tens' digit can range from 0 to 9, and the ones' digit can range from 0 to 9, there are a total of 90 integers (10 * 9) in this scenario.

However, we have counted the integers with no duplicate digits twice. To correct this, we subtract the number of integers with no duplicate digits from the total count. There are 81 integers without any duplicate digits (000 to 999).

So, the final count of integers with exactly one duplicate digit within the given range is:

10 (scenario 1) + 90 (scenario 2) - 81 (integers without duplicates) = 19

Hence, there are 19 such integers.<|im_end|>

Let's denote the width of the garden as W (in feet) and the length as L (in feet). We're given that the length is four times the width, so L = 4W. The formula for the perimeter of a rectangle is P = 2(L + W).

We're told the perimeter is 60 feet, so we can write the equation:

60 = 2(4W + W)

Now, let's solve for W:

60 = 2(5W)
60 = 10W

Next, divide both sides by 10:

W = 6

So, the width of the garden is 6 feet.<|im_end|>

Let's break down the given statement: "All of Lisa's sisters can bake."

From this statement, we can understand that if someone is Lisa's sister and can bake, it aligns with the truth of the statement.

Now let's analyze each option:

(A) If Jane cannot bake, then she is not Lisa's sister.
This statement implies that if Jane cannot bake, she is not related to Lisa as a sister. However, this statement does not directly contradict the given statement, so we cannot confirm it as true.

(B) If Sarah can bake, then she is not Lisa's sister.
This statement contradicts the given statement, as it suggests that if someone (Sarah) can bake and is related to Lisa as a sister, this would be false.

(C) If Mary can bake, then she is Lisa's sister.
This statement aligns with the given statement, as it implies that if someone can bake and is related to Lisa as a sister, it is consistent with the truth of the given statement.

(D) If Emma is not Lisa's sister, then she cannot bake.
This statement does not directly contradict or align with the given statement. It introduces a new character (Emma), and we cannot determine anything about her baking abilities based on the given statement.

(E) None of these.
This option suggests that none of the given statements follow from the given statement. However, option (C) does follow from the given statement.

Based on our analysis, the correct answer is (C) If Mary can bake, then she is Lisa's sister.<|im_end|>

Let's analyze the given statements:

1. All employees of Duluth Paper received a bonus this year.
2. Andrés did not receive a bonus this year.

Now, let's evaluate each answer choice:

A) Not all employees of Duluth Paper received a bonus this year - This statement contradicts the first statement, which says that all employees did receive a bonus. So, this cannot be true if both statements are true.

B) No one who received a bonus is an employee of Duluth Paper - This statement is not supported by the given information. According to the first statement, all employees of Duluth Paper received a bonus.

C) Andrés was not an employee of Duluth Paper this year - We don't have enough information to determine Andrés' employment status at Duluth Paper. So, we cannot conclude this from the given statements.

D) Andrés received a bonus this year - This statement contradicts the second statement, which says that Andrés did not receive a bonus. So, this cannot be true if both statements are true.

E) None of these - This option implies that none of the other options can be true. Since options A and D are contradictory to the given statements, and B is not supported by the information provided, this option must be true.

So, the correct answer is E) None of these.<|im_end|>

Let's analyze the given statements and the options one by one.

Statement 1: All members of the chess team are also members of the robotics club.
This means that if someone is on the chess team, they must also be in the robotics club.

Statement 2: No members of the basketball team are members of the chess team.
This means that there's no overlap between the basketball team and the chess team, i.e., if someone is on the basketball team, they cannot be on the chess team.

Now let's examine the options:

(A) If Izak is in the robotics club, then he is not on the basketball team.
Since we know that all members of the chess team are also members of the robotics club, and there's no overlap with the basketball team, this statement must be true.

(B) If Jerry is in the robotics club, then he is on the chess team.
As mentioned earlier, all members of the chess team are also members of the robotics club. So, this statement must be true.

(C) If Lisa is on the basketball team, then she is not in the robotics club.
This statement contradicts the information given in Statement 2, which says there's no overlap between the basketball team and the chess team. So, this statement cannot be true.

(D) If Sanjit is on the chess team, then he is on the basketball team.
This statement contradicts the information given in Statement 1, which says that all members of the chess team are also members of the robotics club. So, this statement cannot be true.

(E) If Seong-Jin is not in the robotics club, then he is not on the chess team.
This statement is in line with the given information. If someone is not in the robotics club, they cannot be on the chess team due to the relationship mentioned in Statement 1.

So, the correct answer is (A) If Izak is in the robotics club, then he is not on the basketball team.<|im_end|>

Let's analyze the problem step by step.

1. Each student is supposed to write n verses.
2. They also write twice as many verses as their class rank.
3. The 7th student wrote 20 verses.

Now, let's find the expression for the total number of verses written by the 7th student. According to the problem, the 7th student wrote twice as many verses as their class rank, which is 7. So, they wrote 2 * 7 = 14 verses due to their rank. They also wrote n verses as per the initial condition. Therefore, the total number of verses written by the 7th student is 14 + n.

Given that the 7th student wrote 20 verses, we can set up an equation:

14 + n = 20

Now, let's solve for n:

n = 20 - 14
n = 6

So, the value of n is 6.<|im_end|>