Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to h
1 answer:
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Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, <em>88 s</em>, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, <em>88 s</em>, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is <em>88 s.</em>
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This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
Common is 2.
Therefore the LCM will be:
So, the answer is <em>88 s.</em>
Option A : is the solution of the equation.
Explanation:
The equation is
To determine the value of x, let us simplify the equation.
Subtracting 5 from both sides of the equation, we have,
Simplifying, we get,
Now , dividing both sides of the equation by 8, we get,
Using the logarithmic definition that if then
Thus, rewriting the above expression using the logarithmic definition, we have,
⇒
Substituting the value of , we get,
Rounding off the answer to two decimal places, we get,
Hence, the solution of the equation is
Therefore, Option A is the correct answer.