25,830
First do prime factorization on 42 that is 5*3*3
82 that is 41*2
63 that is 3*3*7
then you do the number that appears the most like 3*3 is the most for the 3
2*3*3*5*7*41
2*3=6*3=18*5=90*7=630*41=25,830
To conclude the answer is 25,830
The answer is D as said above
Answer:
64 teachers
Step-by-step explanation:
We can use ratios to solve
14 students 896 students
----------------- = -------------
1 teacher x teachers
Using cross products
14 * x = 896*1
Divide each side by 14
14x/14 = 896/14
x =64
A. Every month Population will increase by a factor of 0.84%.
B. Every 3 months Population will increase by a factor of 2.5%.
C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.
<u>Step-by-step explanation:</u>
Here, we have number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as
which is equivalent to
.
<u>A.</u>
For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like
. ∴ Every month Population will increase by a factor of 0.84%.
<u>B.</u>
In every 3 months: We have , 12 months in a year , in order to check for every 3 months
and Now, Population increase in every 3 months is
. ∴ Every 3 months Population will increase by a factor of 2.5%.
<u>C.</u>
In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.
So , increase in population in every 20 months is 10% + 6.72% = 16.72%.
The shortest side is 3 m and the other side is 4 m. If you put all these numbers in the Pythagorean Theorem it checks out. (3^2+4^2=5^2)