The least number of pens each boy can have brought is 60
<h3>How to determine the least number of pen?</h3>
We have:
Vincent = 6 packs
Aidan = 20 boxes
Factorize 6 and 20
6 = 1 * 2 * 3
20 = 1 * 2 * 2 * 5
Multiply all factors
LCM = 1 * 2 * 2 * 3 * 5
Evaluate the product
LCM = 60
Hence, the least number of pens each boy can have brought is 60
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Answer:
1836 bacteria
Step-by-step explanation:
Now the data is a progression; 38,000, 33,820, 30,100 .........
We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;
r= 33,820/38,000 = 30,100/33,820 = 0.89
So, for a geometric progression;
Un = ar^n-1
Where;
a = 38,000
r = 0.89
n = 27 days
Un = ???
Un = 38,000 * (0.89)^27 - 1
Un = 1836 bacteria
Answer:
D: 65 km²
Step-by-step explanation:
The formula for area of a hexagon when given the base is
A = (3/2)(√3)b² where b is the length of the base
Here, b is given as 5, plug that in and simplify
A = (3/2)(√3)(5²)
A = (3/2)(√3)(25)
A = (75√3)/2
A ≈ 64.95 ≈ 65
Let, the water capcity of tank = x
it would be x*3/4 = 42
x = 42*4 / 3 = 168/3 = 56
So, the tank can hold up to 56 gallons
Answer:
3 hours
Step-by-step explanation:
The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.
60 - 45 = 15 degrees
Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees
15 / 5 = 3 hours
