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You are at Coney Island Amusement Park, and burgers
cost $5 and hot dogs cost $3. You and your friends
spend $45. This is modelled by the equation
5b + 3h=45.
Is the solution (3, 10)
a viable solution?
[show your work to the left]

Given the points a(-2, 1) and b(8, 6), find the coordinates of the point c on directed line segment ab, that partitions ab in the ration 2: 3.

Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?