2.5(12.75x + 24.50) = 188.75
31.875x + 61.25 = 188.75
31.875x = 188.75 - 61.25
31.875x = 127.50
x = 127.50 / 31.875
x = 4....they worked 4 hrs
Option B:
is the correct answer.
Explanation:
The exponential equation is 
If
, then 
Thus, the equation becomes

Applying log rule,
and thus the equation becomes

Since, we know that,
, using this we get,

Hence, the logarithmic equation which is equivalent to the exponential equation
is 
Thus, Option B is the correct answer.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
40 metres covered in 6 seconds
Max speed attained after 6seconds
75 meters covered after 11 seconds
Average Speed for first 40 meters :
Speed = distance / time
Speed = 40m / 6s
Speed = 6.67m/s
To obtain the maximum speed :
Next (75 - 40) meters = 35 meters was covered in (11 - 6)seconds = 5 seconds
Speed at this point is maximum :
Hence, maximum speed = (35m / 5s) = 7m/s
Suppose, Manuel runs for an additional z seconds after reaching max speed :
Distance from starting line 6+z seconds after race started?
Distance after 6 seconds = 40 metres
Distance after z seconds = 7 * z
Total distance = (40 + 7z)
What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?
Distance for first 6 seconds = 40 meters + distance covered after 6 seconds = (7 * (x-6))
40 + 7(x - 6)
If the dinner altogether costs £64, and there is a 20% tip, that brings the total amount paid to £76.80, and if four people are paying £19 towards the total, then there would not be enough for them to pay for both the meal and the tip, as 19x4 is 76, and the total is £76.80, meaning you need another 80 Pence.
Answer: No, as there is 80 pence off the total amount with all of there money added together which they would need to pay for the meal and the tip.
Hope this helps! Xo