You subtract the x from both sides of the equation so it will then be -3y = -2x - 6. You then divide each number by -3, -3y divided by -3, -2x divided by -3, and the - 6 divided by negative 3. It would equal y = 2/3x + 2
Answer:
3 3/5 minutes
Step-by-step explanation:
Let one measure of volume be 5/9 of a tank, or (5/9)(tank).
We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.
Write and solve an equation of ratios:
(5/9) (tank) 2 minutes
------------------- = ----------------
(9/9) (tank) x
Solve for x, which represents the number of minutes required to fill the whole tank:
(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3 3/5 minutes)
The whole tank will be filled in 3 3/5 minutes.
Assuming a fair die,
probability of winning 0.25 = (2/6) = 1/3
probability of losing 0.25 = (4/6) = 2/3
Expected win
= sum (proba.*winning)
=0.25*(1/3) + (-0.25)(2/3)
=-0.25/3
= - (1/12) dollars (negative sign means expecting to lose)
Step-by-step explanation:
Here is your answer
