Based on data from 1990 to 2000, the retail cost of unleaded regular gasoline can be modeled by
R(t) = 0.035t + 1.16 dollars per gallon
and the retail cost of unleaded premium gasoline can be modeled by
P(t) = 0.034t + 1.35 dollars per gallon
where t is the number of years after 1990.†
(a) Solve the system of equations algebraically.
(t, P(t)) =

Explain what your solution means.
Our models predict that
years after 1990 the price per gallon for regular unleaded and premium unleaded will be the same price: $
per gallon.

(b) Based on your experience of purchasing gasoline, does your solution seem reasonable?
Yes
No

Jayda's house is located at (1, 5). she can walk in a straight line to get to cristian's house. a fast-food restaurant is located at (11, 0) and partitions the way from jayda's house to cristian's house by a ratio of 5: 1. find the coordinate of cristian's house. me . im a little stuck

To which set of numbers does the number –5 belong? select all that apply. integers natural numbers rational numbers real numbers whole numbers

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."