A culture of 200 bacteria growing in a Petri dish doubles in size every 3 hours. The number of bacteria, A, can be modeled by the exponential equation A=P(2)^t/3, where P is the initial amount, and t is the time in hours. How many hours will it take for the number of bacteria to reach 1,000,000? Express your answer rounded to the nearest whole number.

Will used 20 colored tiles to make a design in art class. 5/20 of his tiles were red. what is an equivalent fraction for the red tiles?

If there is no real number solution to the quadratic equation x^2+2x+c=0 what is a possible value of c? 1 -2 0 3

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply