Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:

where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.


b) for 7500 g to reach to 6900 g


It will take 6 years for 7500 grams of X to reach 6900 grams.
9514 1404 393
Answer:
Step-by-step explanation:
If we let 'a' represent the price of an adult ticket, and 's' represent the price of a student ticket, the two sales can be described by ...
5a +4s = 85
5a +2s = 55
Subtracting the second equation from the first gives ...
(5a +4s) -(5a +2s) = (85) -(55)
2s = 30 . . . . simplify
s = 15 . . . . divide by 2
Substituting this into the second equation, we have ...
5a +2(15) = 55
5a = 25 . . . . subtract 30
a = 5 . . . . . divide by 5
Each adult ticket sold for $5; each student ticket sold for $15.
Answer:
<u>9 workers finished the repairs, therefore 9 members of the original crew were removed. </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Original crew scheduled to finish repairing a highway = 18 person
Number of days remaining to finish the work = 10 - 4 = 6 days
Number of days that the rest of the crew finished the repairs = 12 days
2. How many workers were removed from the crew?
We will use Inverse Rule of Three to answer this question because the less workers the crew has the more time it will take them to finish the repairs, as follows:
Workers Days
18 6
x 12
12x = 18 * 6 (Inverse Rule)
12x = 108
x = 108/12
x = 9
<u>9 workers finished the repairs, therefore 9 members of the original crew were removed. </u>
Answer:
1/5, 1/6 and 1/15
Step-by-step explanation:
Multiples of 15 are 30, 45, 60, 75, 90. Now, when you look at the list of multiples, you can see that 30 is the smallest number that appears in each list. Therefore, the least common denominator of 1/5, 1/6, and 1/15 is 30.