A man takes either a bus or the subway to work with probabilities 0.4 and 0.6, respectively. When he takes the bus, he is late 5

The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:

-2x + 5x = 8 + 4
Next, simplify both sides:

3x = 12
Divide both sides by 3 to isolate x:
x = 4.
Therefore, the solution for x is 4.

The expected loss is $1.83. Step-by-step explanation: The average value for each ticket is calculated as... ($100 + 5($20)) / 1200 = $200 / 1200 ≈ $0.1667 ≈ $0.17. Since purchasing a ticket costs $2.00, your anticipated value becomes... -$2.00 + 0.17 = -$1.83, leading to a loss of $1.83.

d(-3 + x) = kx + 9

• Distribute d within the parentheses:

-3d + dx = kx + 9

• Subtract kx from both sides:

-3d + dx - kx = 9

• Add 3d to both sides:

dx - kx = 9 + 3d

• Factor x from dx - kx:

x(d - k) = 9 + 3d

• Divide both sides by (d - k):

x =

• To further simplify, factor 3 out of the numerator.

x =