✅

 offered to lend Sofie one of her extra swimsuits.</s>

 Ben placed his hat on the empty pawn spot, serving as a makeshift piece.</s>

 Jane's phone displayed a low battery warning.</s>

✅

 C) shifting responsibility for the costs of recycling</s>

✅

 A) It is very old</s>

✅

 B) Short and dark with a big mustache and big hands</s>

 (A) polished</s>

 (A) underscore an astounding fact</s>

 Mia suggested checking the storage building's upper floor, hoping for a forgotten ball. One of the counselors replied, "I have the keys." He unlocked the door and together they ascended a narrow staircase. Upstairs, they discovered a box filled with extra sports equipment, including a volleyball.</s>

✅

 C) By preserving it with salt</s>

 Let's denote the width of the garden as W and the length as L. Given that the length is four times the width, we can write this relationship as L = 4W.

The formula for the perimeter of a rectangle is P = 2L + 2W. We're told that the perimeter of the garden is 60 feet, so we can write the equation as:

60 = 2(4W) + 2W

Simplify the equation:

60 = 8W + 2W

Combine like terms:

60 = 10W

Now, divide both sides by 10 to solve for W:

W = 6

The width of the garden is 6 feet.</s>

 D) the arrangement of her hair

The author includes the detail that Jim noticed Liz Coates' hair was always neat behind as a sign that he has observed her. This demonstrates that he has paid attention to her appearance and, to some extent, noticed her. Although he does not have any romantic feelings towards her at this point, the detail still indicates that he has observed her. The other options do not show that Jim has directly noticed Liz Coates. Option A refers to his lack of thoughts about her, Option B is about A.J. Smith's cooking, and Option C is about her teeth which Jim finds appealing but is not a direct detail about him noticing her.</s>

 C) persistence of an outward expression of love

The repetitive use of "She liked it" in the passage emphasizes the growing feelings of affection and attraction that Liz Coates has for Jim Gilmore. The author uses this repetition to show the persistence and variety of these feelings, highlighting the outward expressions of love that Liz notices in Jim.</s>

 B) Juxtapose two peoples' sentiments

In paragraphs 2 and 3, the passage contrasts Liz's feelings for Jim and Jim's lack of feelings for her. This juxtaposition highlights the difference in their emotional responses to one another. While Liz has a variety of positive feelings about Jim, he doesn't seem to reciprocate them in the same way. This creates an interesting dynamic between the two characters. The passage also describes some of Liz's observations about Jim's appearance, but the main focus is on the contrast between their emotions.</s>

 Let's analyze each statement:

1. "All members of the chess team are also members of the robotics club." This implies that if someone is in the chess team, they must also be in the robotics club.
2. "No members of the basketball team are members of the chess team." This implies that no member of the basketball team can be a member of the chess team.

Now let's examine each of the given options:

(A) If Izak is in the robotics club, then he is not on the basketball team. This is consistent with the information given. If he's in the robotics club, then by statement 1, he must be in the chess team as well. But statement 2 says no members of the basketball team are in the chess team, so if he's in the robotics club, he can't be in the basketball team.

(B) If Jerry is in the robotics club, then he is on the chess team. This is consistent with the information given. If he's in the robotics club, then by statement 1, he must be in the chess team.

(C) If Lisa is on the basketball team, then she is not in the robotics club. This contradicts the information given. According to statement 2, if she's on the basketball team, she can't be on the chess team. But we don't have any information about the relation between the basketball team and the robotics club.

(D) If Sanjit is on the chess team, then he is on the basketball team. This contradicts the information given. According to statement 2, if he's on the chess team, he can't be on the basketball team.

(E) If Seong-Jin is not in the robotics club, then he is not on the chess team. This is consistent with the information given. If he's not in the robotics club, then by the first statement, he can't be in the chess team.

The correct answer is (A) and (E). Both options are consistent with the given statements.</s>

 We can use the process of elimination to determine where the daughter is located.

1. The person in Britain has the broken sword, so it's not Britain for the daughter.
2. The son doesn't have the gold doubloon nor the silver watch and he's not in Denmark, so Denmark and the son's location are different.
3. The family member in Egypt has the family tree, so it's not Egypt for the daughter.
4. The mother has the silver watch but isn't in Mexico, so it's not Mexico for the daughter.
5. The grandmother has the gold doubloon and can be in Denmark or Canada.

Now we know that the daughter can't be in Britain, Egypt, or Mexico. The only two remaining options are Denmark (where the grandmother might be) and Canada (where the grandmother might be). But since the son isn't in Denmark, the daughter has to be in Canada.

So, the daughter is located in Canada.

Representation: Canada (Daughter)</s>

 ◆. ▲. ◆. ★.</s>

✅

★. ◆. ●. ▲.</s>

 ●. ◆. ▲. ★.</s>

 ●.
▲.
★.
◆.
▲.
●.</s>

 Let's analyze the problem step-by-step:

1. Each student is supposed to write n verses.
2. Each student also writes twice as many verses as their class rank.
3. We are given that the 7th student wrote 20 verses.

Let's denote the class rank as r and the number of verses a student writes as V. From the problem, we have:

V = n + 2r (equation 1)

We are given that the 7th student wrote 20 verses, so:

20 = n + 2(7)  (since r = 7)

Now, we can solve for n:

20 = n + 14
n = 20 - 14
n = 6

So, the value of n is 6. Each student, including the 7th one, is supposed to write 6 verses, plus twice as many verses as their class rank. But in this specific case, the 7th student wrote only the additional 14 verses (2*7).</s>

 To find the value of 4 ◘ 3, we will substitute x = 4 and y = 3 into the given operation:

x ◘ y = 2x - 3y + 1
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

The final result is:

4 ◘ 3 = 0

So, the value of 4 ◘ 3 is 0.</s>

 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.

Time = 60 miles / 30 mph = 2 hours

So, it will take John 2 hours to reach the park.</s>

 To solve this problem, we will first find all the possible three-digit numbers between 99 and 199 that have exactly one duplicate digit. The digit in the hundreds' place must duplicate the digit in the ones' place.

There are 9 choices for the digit in the hundreds' place (1 to 9, excluding 0). Once we choose the hundreds' place digit, there are 9 choices for the digit in the tens' place (1 to 9, excluding the chosen digit). Finally, there is only one choice for the digit in the ones' place, which must be the same as the hundreds' place digit.

So, the total number of integers greater than 99 and less than 200 with exactly one duplicate digit is:

9 (choices for the hundreds' place) * 9 (choices for the tens' place) * 1 (choice for the ones' place) = 81.

Therefore, there are 81 integers that meet the given criteria.</s>

 If both statements are true, then we have a contradiction between statement 1 (All employees of Duluth Paper received a bonus this year) and statement 2 (Andrés did not receive a bonus this year). Since Andrés is not specified to not be an employee of Duluth Paper in statement 2, we can assume that he is an employee of Duluth Paper for the sake of this analysis.

With this assumption, statement 1 cannot be true because it claims all employees received a bonus, but we know Andrés, who is an employee, did not receive a bonus. This means that there must be at least one employee who did not receive a bonus, contradicting statement 1.

Therefore, the only correct answer among the given options is:
A) Not all employees of Duluth Paper received a bonus this year

The reason for this conclusion is that the truth of both statements leads to a contradiction with statement 1, making it impossible for all employees to have received a bonus.</s>

 The statement "All of Lisa's sisters can bake" tells us that every sister of Lisa has the ability to bake. Using this information, we can analyze the given options:

(A) If Jane cannot bake, then she is not Lisa's sister. This statement is consistent with the given information. If a woman cannot bake and she is claimed to be Lisa's sister, then it would contradict the initial statement.

(B) If Sarah can bake, then she is not Lisa's sister. This statement contradicts the given information. The fact that Sarah can bake does not mean she cannot be Lisa's sister.

(C) If Mary can bake, then she is Lisa's sister. This statement is consistent with the given information. If Mary can bake and she is Lisa's sister, then this supports the initial statement.

(D) If Emma is not Lisa's sister, then she cannot bake. This statement is consistent with the given information. If Emma is not Lisa's sister, then her baking ability is irrelevant to the relationship between Lisa and her sisters.

(E) None of these. This statement is incorrect because we have identified options (A) and (D) that are consistent with the given information.

So, the correct answer is a combination of (A) and (D):
A) If Jane cannot bake, then she is not Lisa's sister
D) If Emma is not Lisa's sister, then she cannot bake</s>

 If the Grandmother is in Denmark, then the grandmother has the gold doubloon and the grandmother's location is Denmark. According to statement 4, the mother has the silver watch but isn't in Mexico. Since the Grandmother is in Denmark and the Son is not in Denmark (from statement 3 of the son), the Son can be in Mexico, Britain, Canada, or Egypt. However, the Son cannot have the silver watch (from statement 2) and cannot be in the same location as the Mother (since the Mother has the silver watch and is not in Mexico). Therefore, the Mother must be in either Britain, Canada, or Egypt. But from statement 1, we know that the person in Britain has the broken sword, so the Mother cannot be in Britain. That leaves us with Canada or Egypt. However, the Grandmother is already in Denmark, so the Mother cannot be in Denmark or Egypt (since Denmark is occupied by the Grandmother and Egypt is occupied by the family tree). Thus, the Mother must be in Canada. 

So if the Grandmother is in Denmark, the Mother is in Canada. 

Answer: Canada (for Mother)</s>