Answer:
∴At the beginning of the game Sparrow had = (70+12)=82 coins
Step-by-step explanation:
Given , three pirates named Ahab, Sparrow and Davy play a game.
Let at the end of the game Ahab, Sparrow and Davy have 4x, 5x,and 6x coins respectively.
Total number of coins= 4x+5x+6x=15x
Again given that the pirates have a total of 210 coins.
According to the problem,
15x =210
⇔x = 14
Therefore, Ahab, Sparrow and Davy have(4×14)=56,(5×14)=70 and (6×14)=84 respectively.
Since,Ahab has won 5 coins and Davy has won 7 coins.This(7+5)=12 coins was belonged to Sparrow.
∴At the beginning of the game Sparrow had = (70+12)=82 coins
First the distributive property actually means "to share"
Second here's how you do it ...
the two numerators are multiplied , same with the denominator
4 x 10 and 25 x 1
this gets you 40/25 as an improper fraction but here is the simplified answer
1 3/5
Answer:
Step-by-step explanation:
We have to simplify the original function using partial fraction, hence:
![From\ Laplace\ inverse:\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=e^{t}+4e^{-4t}](https://tex.z-dn.net/?f=From%5C%20Laplace%5C%20inverse%3A%5C%5C%5C%5CBut%5C%20L%5E%7B-1%7D%5B%5Cfrac%7B1%7D%7Bs-a%7D%20%5D%3De%5E%7Bat%7D%5C%5C%5C%5CHence%3A%5C%5C%5C%5CL%5E%7B-1%7D%20%5B%5Cfrac%7B5s%7D%7Bs%5E2%2B3s-4%7D%5D%3DL%5E%7B-1%7D%5B%5Cfrac%7B1%7D%7Bs-1%7D%20%5D%2BL%5E%7B-1%7D%5B%5Cfrac%7B4%7D%7Bs%2B4%7D%20%5D%3De%5E%7Bt%7D%2B4e%5E%7B-4t%7D%5C%5C%5C%5CL%5E%7B-1%7D%20%5B%5Cfrac%7B5s%7D%7Bs%5E2%2B3s-4%7D%5D%3De%5E%7Bt%7D%2B4e%5E%7B-4t%7D)
It will take him 30 hours
