A

✅

B

✅

"I think it will work perfectly as a replacement." 

✅

"Let's check the storage room on the roof," Mia suggested. 

✅

"Paul, we forgot the charger for my phone!" 

✅

C

✅

C

✅

A

✅

The first statement says ALL employees of Duluth Paper received a bonus. The second statement says Andrés did NOT receive a bonus.  Since these two statements are true, Andrés cannot be an employee of Duluth Paper. 


C

✅

Here's how to solve this problem:

**1. Define variables:**

* Let 'w' represent the width of the garden.
* Let 'l' represent the length of the garden.

**2. Set up equations based on the given information:**

* We know that l = 4w (the length is four times the width).
* We also know that the perimeter of a rectangle is calculated as: P = 2l + 2w

**3. Substitute and solve:**

* Since P = 60 feet, we have the equation: 60 = 2l + 2w
* Substitute '4w' for 'l' in the equation: 60 = 2(4w) + 2w
* Simplify and solve for 'w': 60 = 8w + 2w
* Combine like terms: 60 = 10w
* Divide both sides by 10: w = 6 


Width: 6 feet

✅

The author's repetitive use of "She liked it" emphasizes the **closeness with which one person studies another**. 

D

✅

These paragraphs focus on Liz's growing fondness for Jim, detailing her observations and feelings about him. In contrast, Jim doesn't seem to reciprocate these feelings. 

B) Juxtapose two peoples' sentiments

✅

offered to lend Sofie one of her spares. 

✅

The passage states that Jim was "short and dark with big mustaches and big hands". 

B

✅

The passage states that Jim "noticed that her hair was always neat behind". This detail shows he pays attention to her appearance. 

D

✅

The original statement tells us that all of Lisa's sisters have the ability to bake. This means if someone can bake, they *could* be Lisa's sister, but it doesn't guarantee it.

Let's analyze the options:

* **(A) If Jane cannot bake, then she is not Lisa's sister:**  This is true. If Jane can't bake, she doesn't fit the criteria of Lisa's sisters.
* **(B) If Sarah can bake, then she is not Lisa's sister:** This is false. Sarah could bake and still be Lisa's sister.
* **(C) If Mary can bake, then she is Lisa's sister:** This is false. Mary could be a great baker and have no relation to Lisa.
* **(D) If Emma is not Lisa's sister, then she cannot bake:** This is false. Emma could be a fantastic baker without being related to Lisa.

 

A

Here's the reasoning:

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

* **Statement 2:** No basketball team members are on the chess team. This means if someone is on the basketball team, they CANNOT be on the chess team.

Now let's analyze the answer choices:

* **(A)**  If Izak is in the robotics club, then he is not on the basketball team. This is **TRUE**. Since all chess team members are in robotics, Izak being in robotics means he could be on the chess team, and therefore not on the basketball team.

* **(B)** If Jerry is in the robotics club, then he is on the chess team. This is **NOT necessarily TRUE**.  While Jerry could be on the chess team (and thus robotics), he could also be in robotics for another reason.

* **(C)** If Lisa is on the basketball team, then she is not in the robotics club. This is **TRUE**. Since no basketball team members are on the chess team, and all chess team members are in robotics, Lisa cannot be in robotics.

* **(D)** If Sanjit is on the chess team, then he is on the basketball team. This is **FALSE**. The statements say chess team members are NOT on the basketball team.

* **(E)** If Seong-Jin is not in the robotics club, then he is not on the chess team. This is **TRUE**. If Seong-Jin isn't in robotics, he can't be on the chess team (because all chess team members are in robotics).


C

Here's how we can deduce the daughter's location:

* **Start with the knowns:**
    * Britain - Broken Sword
    * Egypt - Family Tree
    * Mother - Silver Watch (not in Mexico)
    * Grandmother - Gold Doubloon (Denmark or Canada)
    * Son - Not in Denmark, doesn't have Gold Doubloon or Silver Watch

* **Combine clues:**
    * Since the mother has the silver watch and isn't in Mexico, the mother must be in either Britain, Canada, or Denmark.
    * The grandmother has the gold doubloon and is in either Denmark or Canada.

* **Deduce possibilities:**
    *  If the grandmother is in Denmark, the mother must be in either Canada or Britain.
    * If the grandmother is in Canada, the mother must be in either Denmark or Britain.

* **Consider the son:** The son cannot be in Denmark and doesn't have the gold doubloon or silver watch. This leaves Mexico as a possibility for the son. 

* **Final deduction:** Since the daughter has the oceanic map, and all other locations are accounted for, the daughter must be in the remaining location: **Egypt**.

Egypt 

✅

▲ ◆ ★ 

✅

★ ◆ ● ▲ 

✅

▲ ★ ● ◆ 

✅

Here's how we can solve this:

* **Start with the knowns:**
    * Britain - Broken Sword
    * Egypt - Family Tree
    * Mother - Silver Watch (not in Mexico)
    * Grandmother - Gold Doubloon (Denmark or Canada)
    * Son - Not in Denmark, doesn't have Gold Doubloon or Silver Watch

* **If Grandmother is in Denmark:** She has the Gold Doubloon. This means the Son cannot be in Denmark.

* **We know the Mother isn't in Mexico:**  This leaves Canada, Britain, and Egypt as possibilities for the Mother.

* **The Son doesn't have the Silver Watch:**  This means the Mother must have the Silver Watch and cannot be in the same place as the Son.

* **Considering the remaining possibilities:** The only place left for the Mother is **Canada**.

Canada 

✅

★ ● ▲ ◆ 

✅

Let's break down this problem step-by-step:

* **Understand the problem:** Each student writes a base number of verses (n) plus twice their class rank. We know the 7th student wrote 20 verses.

* **Set up an equation:** Let's represent the 7th student's verses with the equation: n + 2 * 7 = 20

* **Solve for n:** 
    * n + 14 = 20
    * n = 20 - 14
    * n = 6


Therefore, the value of n is: 6

✅

Here's how to solve this:

* **Understand the relationship:**  Time, speed, and distance are related by the formula: Time = Distance / Speed.

* **Apply the formula:** In this case, the distance is 60 miles and the speed is 30 mph.

* **Calculate:** Time = 60 miles / 30 mph = 2 hours.


2 hours

✅

Here's how to solve the problem:

1. **Identify the given values:** We are given x = 4 and y = 3.

2. **Substitute the values into the operation definition:**
   4 ◘ 3 = (2 * 4) - (3 * 3) + 1

3. **Perform the calculations:**
   4 ◘ 3 = 8 - 9 + 1

4. **Simplify:**
   4 ◘ 3 = 0


0

Here's how we can solve this problem:

**1.  Identify the Pattern:**

We need numbers with one repeated digit in the hundreds and units place.  The tens digit can be any digit from 0 to 9.

**2.  Consider the Possibilities:**

*  **Hundreds Digit:** The hundreds digit can be any digit from 1 to 9 (since it has to be greater than 99).

*  **Units Digit:** The units digit must match the hundreds digit.

*  **Tens Digit:** The tens digit can be any digit from 0 to 9, except for the digit used in the hundreds and units place.

**3. Calculate the Count:**

* For each choice of hundreds digit (9 options), there are 10 choices for the tens digit.

* Therefore, there are 9 * 10 = 90 integers that fit the criteria.


90