Let N be the set of all natural numbers and let R be a relation on N defined as R = {(x, y):x∈N and x+3y=15 }. Then R as set of ordered pair is A) { ( 3, 4 ) , ( 5, 3 ) , ( 9, 2) , ( 13,2 )} B) { ( 3, 5 ) , ( 2, 7 ) , ( 9, 2 ) , ( 12, 1 ) } C) { ( 3, 4 ) , ( 6, 3 ) , ( 9, 2 ) , ( 12, 1 ) } D) { ( 4, 5 ) , ( 7, 3 ) , ( 4, 5 ) , ( 4, 2 ) } PLS HELP ASAP (10pts)

Write the following as a base and exponent

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.