answer:There are plenty of accommodation options in the areas we've discussed, ranging from budget-friendly inns to luxury resorts. Here are some recommendations: In Stowe, Vermont, consider staying at the Stowe Mountain Lodge, which offers comfortable rooms, an outdoor pool, and a spa. Alternatively, the Trapp Family Lodge, owned by the von Trapp family of The Sound of Music fame, provides a charming atmosphere, beautiful gardens, and a range of outdoor activities. In North Conway, New Hampshire, the Bernerhof Inn is a cozy bed and breakfast with a warm atmosphere, delicious breakfast, and a convenient location. For a more luxurious option, the Omni Mount Washington Resort offers stunning views, a world-class spa, and a range of outdoor activities, including golf and hiking. In Bar Harbor, Maine, the Harborside Hotel, Spa & Marina is a waterfront hotel with comfortable rooms, an outdoor pool, and a convenient location near the town center. Alternatively, the Balance Rock Inn is a charming boutique hotel with beautifully decorated rooms, a relaxing atmosphere, and a short walk to the shore. In Burlington, Vermont, the Hotel Vermont is a stylish boutique hotel with comfortable rooms, a rooftop bar, and a convenient location near the Church Street Marketplace. For a more budget-friendly option, the Burlington Hostel is a clean and welcoming hostel with dorms and private rooms, a communal kitchen, and a lively atmosphere. Keep in mind that prices can vary depending on the season, so it's a good idea to book in advance to secure the best rates. You may also want to consider staying in nearby towns or villages, which can offer a more authentic experience and often lower prices. It's also worth considering alternative accommodation options, such as vacation rentals or Airbnb apartments, which can provide more space and flexibility. What type of accommodation are you leaning towards, and what's your budget for the trip?

answer:There are plenty of exciting things to see and do in the areas you'll be visiting. Here are some suggestions: In Stowe, Vermont, be sure to visit the Trapp Family Lodge, even if you're not staying there. Take a stroll around the beautiful gardens, visit the von Trapp family cemetery, and enjoy a coffee or meal at one of the on-site restaurants. If you're interested in outdoor activities, Stowe has plenty to offer, including hiking trails, mountain biking, and zip-lining. Take a scenic drive on the Mountain Road, which winds its way through the mountains and offers stunning views. In North Conway, New Hampshire, visit the Mount Washington Observatory Weather Discovery Center to learn about the extreme weather conditions on the highest peak in the Northeast. Take a scenic drive on the Kancamagus Highway, which offers breathtaking views of the White Mountains and surrounding valleys. If you're interested in shopping, North Conway has a lively downtown area with plenty of boutiques, antique shops, and art galleries. In Acadia National Park, Maine, there are countless outdoor activities to enjoy. Drive the Park Loop Road, which takes you through the park's stunning landscapes, including the Jordan Cliffs, Thunder Hole, and the summit of Cadillac Mountain. Take a hike on one of the many trails, including the Ocean Path Trail, which winds its way along the coast, or the Beehive Trail, which takes you up a steep and scenic hill. If you're interested in water activities, rent a kayak or bike and explore the park's lakes, ponds, and carriage roads. In Bar Harbor, Maine, visit the Abbe Museum to learn about the region's Native American history and culture. Take a stroll along the waterfront, where you can admire the boats, visit the Bar Harbor Village Green, and enjoy a meal at one of the many seafood restaurants. If you're interested in visiting nearby islands, take a ferry to Mount Desert Island or Vinalhaven Island, where you can explore the rugged coastlines and scenic villages. In Burlington, Vermont, visit the Church Street Marketplace, a pedestrian shopping and dining hub that's home to many local boutiques, restaurants, and cafes. Take a stroll along the waterfront on Lake Champlain, where you can admire the views, visit the ECHO Leahy Center for Lake Champlain, and take a boat tour of the lake. If you're interested in art, visit the Shelburne Museum, a unique outdoor museum that showcases American art and history. Some other activities to consider include: * Taking a scenic flight over the White Mountains or Acadia National Park * Visiting a local farm or orchard to taste fresh produce and learn about sustainable agriculture * Exploring the many antique shops and vintage stores in the area * Taking a cooking class to learn about local cuisine and ingredients * Visiting a local brewery or winery to sample craft beers and wines What are your interests, and what activities would you like to prioritize on your trip?

answer:First, subtract the first equation from the second: [ (2022a + 2026b) - (2020a + 2024b) = 2050 - 2040 ] [ 2a + 2b = 10 quad Rightarrow quad a + b = 5 ] Next, subtract the first equation from the third: [ (2025a + 2028b) - (2020a + 2024b) = 2065 - 2040 ] [ 5a + 4b = 25 ] We already have (a + b = 5). Multiply this by 4: [ 4a + 4b = 20 ] Subtract this from the modified third equation: [ 5a + 4b - (4a + 4b) = 25 - 20 ] [ a = 5 ] Substituting (a = 5) into (a + b = 5): [ 5 + b = 5 quad Rightarrow quad b = 0 ] Now, find (a + 2b): [ a + 2b = 5 + 2 cdot 0 = boxed{5} ]

answer:Tina buys 3 12-packs of soda, so she has 3 * 12 = <<3*12=36>>36 sodas. Including Tina, there are 6 people at the party. Half of the people at the party have 3 sodas each, so 6 / 2 = <<6/2=3>>3 people. These 3 people have 3 sodas each, so they have 3 * 3 = <<3*3=9>>9 sodas. 2 of the people have 4 sodas each, so they have 2 * 4 = <<2*4=8>>8 sodas. 1 person has 5 sodas, so they have 1 * 5 = <<1*5=5>>5 sodas. In total, the people at the party have 9 + 8 + 5 = <<9+8+5=22>>22 sodas. Tina bought 36 sodas, and the people at the party drank 22 sodas, so there are 36 - 22 = <<36-22=14>>14 sodas left over. 14 The answer is: 14