So we want to know what percentage of bees would survive a virus after 19 days of decay if the bee population has a half life of 5 days. So every 5 days 50% of bees die. Lets say that N is the number of bees before the virus. So after 5 days is 50% less bees, so 50% of N remains. After another 5 days again, 50% bees die, and 50% out of 50% is 25%. So after 10 days, 25% of bees remain or 25%N or 0.25*N. After another 5 days its 12.5 % of bees remain or 0.125*N. And after 4 days 40% more bees die. And that is 0.4*0.125*N = 0.05N. 0.05*100% is 5%. So after 19 days, 5% of bees remain and 95% of bees is dead.
Answer:
12 pounds
Step-by-step explanation:
One quantity is asked for, so it is convenient to let a variable represent that. We can use x to represent pounds of chocolate. Then the total cost of the mix is ...
19.30·x + 3.50·18 = 9.82·(x +18) . . . . cost of chocolate + cost of trail mix
9.48·x = 113.76 . . . . . . simplify, subtract 63+9.82x
113.76/9.48 = x = 12 . . . . . . divide by the coefficient of x
The owner needs to mix 12 pounds of chocolate. (no rounding necessary)
Answer:
You find the perimeter by adding all the side measurements of the shape (in this case, a right triangle) together.
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The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
