Solve each equation. List any restrictions. Check your solutions. 12/x+11=17

1 answer:

6 0

12+11x=17x11x+12=17x
(both sides of the equation)
11x+12−17x=17x−17x
(Subtract 17x from both sides)
−6x+12=0−6x+12−12=0−12
(Subtract 12 from both sides)
−6x=−12−6x−6=−12−6
(Divide both sides by -6)
x=2
Check answers. (Plug them in to make sure they work.)
x=2
(Works in original equation)

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The expected total gain is 83 points

The given parameters are:

Addition of 20 points for rolling a 6
Removal of 3 points for not rolling a 6

The probability of rolling a 6 in a fair die is 1/6.

The probability of not rolling a 6 in a fair die is 5/6.

So, the expected gain in each game is:

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So, the expected gain is:

$\mathbf{Gain = 100 \times 0.83}$

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