which expression is equivalent to −12+(−45)+31 and includes the correct justification for the equivalence?


a
−12+(−45)+1555 by the additive inverse property
b
−12+31+(−45) by the commutative property
c
(−45)+(−12)+31 by the associative property
d
−12+31+(−0.8) because the opposite of a sum is the sum of its opposites.

Plz need answer now will mark which situations represent linear functions? check all that apply. a)the temperature rises and falls over the course of a day. temperature is a function of time. b)a baseball is hit into the outfield. the height of the ball is a function of time. c)a car goes 55 mph on the highway. distance is a function of time. d)a child grew 2 inches this year and 1 inch last year. height is a function of time. e)a movie director makes 2 movies per year. the number of movies is a function of the years.

Acollection of coins has value of 64 cents. there are two more nickels than dimes and three times as many pennies as dimes in this collection. how many of each kind of coin are in the collection?

Aculture started with 4,000 bacteria. after 5 hours, it grew to 5,200 bacteria. predict how many bacteria will be present after 19 hours. round your answer to the nearest whole number.