Problem: On July 24, 1580, Antonio proclaimed himself as King of Portugal and of the Algarves, in Santarem, which was followed by popular acclamation in several locations of the country. However, he governed in Continental Portugal for only 33 days, culminating in his defeat at the Battle of Alcantara by the Spanish armies led by Fernando Alvarez de Toledo, Duke of Alba on August 25. The Battle ended in a decisive victory for the Spanish Habsburgs, both on land and sea. Two days later, the Duke of Alba captured Lisbon. In early 1581, Antonio fled to France and, as Philip's armies had not yet occupied the Azores, he sailed there with a number of French adventurers under Filippo Strozzi, a Florentine exile in the service of France, but was utterly defeated at sea by a combined Spanish-Portuguese navy commanded by Don Alvaro de Bazan, 1st Marquis of Santa Cruz at the Battle of Ponta Delgada off Terceira Island on July 26, 1582 and off Sao Miguel Island on July 27, 1582. Antonio still accompanied an English Expedition, under the command of Sir Francis Drake and Sir John Norreys, to the coasts of Spain and Portugal but the Expedition failed and Antonio's attempt to rule Portugal from Terceira Island, in the Azores came to an end in 1583.

How many days separated the defeats Antonio faced at sea in July 1582?
Answer: 1

Problem: The effectiveness of heat-seeking missiles was only 7% early in the Vietnam War, but improved to approximately 15%40% over the course of the war. The AIM-4 Falcon used by the USAF had kill rates of approximately 7% and was considered a failure. The AIM-9B Sidewinder introduced later achieved 15% kill rates, and the further improved AIM-9D and J models reached 19%. The AIM-9G used in the last year of the Vietnam air war achieved 40%. Israel used almost totally guns in the 1967 Six-Day War, achieving 60 kills and 10 losses. However, Israel made much more use of steadily improving heat-seeking missiles in the 1973 Yom Kippur War. In this extensive conflict Israel scored 171 of out of 261 total kills with heat-seeking missiles (65.5%), 5 kills with radar guided missiles (1.9%), and 85 kills with guns (32.6%). The AIM-9L Sidewinder scored 19 kills out of 26 fired missiles (73%) in the 1982 Falklands War. But, in a conflict against opponents using thermal countermeasures, the United States only scored 11 kills out of 48 fired (Pk 23%) with the follow-on AIM-9M in the Gulf War.

What percentage was the United States success rate with thermal countermeasures?
Answer: 23%

Problem: After a short week, the Lions hosted their division rivals the Chicago Bears for their 75th annual Thanksgiving Day Game. Detroit spotted Chicago a 14-3 first quarter lead, as Jay Cutler hit Alshon Jeffery with touchdown passes of 10 and 6 yards, wrapped around a Matt Prater 46-yard field goal. In the second quarter, Calvin Johnson ended his team's nine-quarter touchdown drought by catching a 25-yard TD pass from Matthew Stafford. Before the half ended, Joique Bell scored on a 1-yard run and Stafford again hooked up with Johnson, this time on a 6-yard TD, putting Detroit up 24-14. Robbie Gould closed the gap to seven points with a 35-yard field goal in the third quarter. Detroit scored the game's final 10 points in the fourth quarter. Joique Bell capped a 95-yard drive with his second 1-yard TD run and Matt Prater hit a 40-yard field goal, making the final score 34-17. The Lions tallied a season-high 474 yards of offense on the day.

How many more yards were gained on the first Matt Prater field goal relative to the first two touchdowns?
Answer: 30

Problem: There were 22,000 households of which 37.1% had children under the age of 18 living with them, 48.3% were Marriage living together, 12.7% had a female householder with no husband present, 5.1% had a male householder with no wife present, and 33.9% were non-families. 26.7% of all households were made up of individuals and 7.5% had someone living alone who was 65 years of age or older. The average household size was 2.70 and the average family size was 3.24.

How many percent of households had a male or female householder with no spouse present and children under the age of 18?
Answer:
54.9