Answer: Each term of the equation can be multiplied by 
to eliminate the fractions before solving.
Step-by-step explanation:
Given the following expression:
You need to simplify before solve it.
Notice that the denominators are different, then you must find the Least Common Denominator (LCD).
Descompose the denominators into their prime factors:
Choose 
, because it has the highest exponent. Then:
Finally you can multiply on both sides by 4 in order to to eliminate the fractions before solving:
Answer:
Their headquarters contains <u>420000</u> employees.
Step-by-step explanation:
The company has two office buildings which hold 30,000 employees.
The headquarters contains 14 times as many employees as the overseas branch.
Therefore, the number of employees in the headquarters is:
14 * 30000 = 420000 employees
Their headquarters contains 420000 employees.
Where 1/4 represents Bob and 1/6 represents Ted...
1/4x + 1/6x = 1
Multiply the two so there is no fraction by the GCF of 12.
3x + 2x = 12
Add 3x and 2x.
5x = 12
Divide by 5.
x = 12
Plug this value in.
With that, the answer is 2 hours and 24 minutes with x = 12 meaning 144 minutes.
Answer:ITS A
Step-by-step explanation:
SAS: side angle side
SSA: is not a congruence theorem
AAS:angle angle side
SSS:side side side
Answer:
The absolute brightness of the Cepheid star after a period of 45 days is -5.95
Step-by-step explanation:
Since the absolute magnitude or brightness of a Cepheid star is related to its period or length of its pulse by
M = –2.78(log P) – 1.35 where M = absolute magnitude and P = period or length of pulse.
From our question, it is given that P = 45 days.
So, M = –2.78(log P) – 1.35
M = –2.78(log 45) – 1.35
M = –2.78(1.6532) – 1.35
M = -4.60 - 1.35
M = -5.95
So, the absolute magnitude or brightness M of a Cepheid star after a period P of 45 days is -5.95
