BUXTON, N.C. (AP) — A tropical weather system off the coast of North Carolina's Outer Banks is expected to strengthen in the next day, bringing winds up to 45 mph and heavy rains that could flood low-lying areas, officials said. Early Tuesday, the tropical depression with winds of 35 mph was about 115 miles (185 kilometers) southeast of Cape Hatteras and was expected to become a tropical storm Tuesday afternoon but not grow any stronger. A tropical storm warning has been issued for areas of the coast from Cape Lookout to the Oregon Inlet along North Carolina's Outer Banks. [...] forecasters at the National Hurricane Center in Miami said that another tropical depression in the Gulf of Mexico could hit northern Florida as a tropical storm later in the week and possibly head toward the Atlantic coast. Roads along the thin barrier islands are prone to flooding and damage from erosion, including the two-lane N.C.