To calculate the remaining caffeine, we use the radioactive decay formula which is expressed as An = Aoe^-kt where An is the amount left after t time, Ao is the initial amount and k is a constant we can calculate from the half-life information. We do as follows:
at half-life,
ln 1/2 = -k(6)
k = 0.12/hr
An = 80e^-0.12(14)
An = 15.87 mg
The correct answer is D, -5 1/3.
The reason is that on a number line -3 1/4 would be placed to the right of -5 1/3.
The further you are to the right on the number line, the bigger the number.
Answer: aw dont be sad
Step-by-step explanation:
stay happy
Answer: a ticket to the movie costs $8.5
Step-by-step explanation:
Let x represent the cost of a movie ticket.
Let y represent the cost of a Soda.
Janice bought 3 movie tickets and 3 sodas and the total cost was $35.25. This means that
3x + 3y = 35.25 - - - - - - - - - -1
A ticket to the movie cost $5.25 more than a soda. This means that
x = y + 5.25
Substituting x = y + 25 into equation 1, it becomes
3(y + 5.25) + 3y = 35.25
3y + 15.75 + 3y = 35.25
6y = 35.25 - 15.75 = 19.5
y = 19.5/6 = 3.25
x = y + 5.25 = 3.25 + 5.25
x = 8.5
