Answer:
z = 1.3
Explanation:
To solve the equation 40/15z - 4/15 = 48/15z for z, we can start by combining the terms on the left-hand side of the equation.
We can simplify 40/15z - 4/15 by finding a common denominator of 15z. Multiplying the first term by z/z, we get 40z/15z^2. Multiplying the second term by 1, we get 4/15z. Combining these terms, we get (40z/15z^2) - (4/15z) = (40z - 4)/15z.
Now we can substitute this expression back into the original equation to get:
(40z - 4)/15z = 48/15z
We can simplify this by multiplying both sides of the equation by 15z:
40z - 4 = 48
Adding 4 to both sides, we get:
40z = 52
Finally, dividing both sides by 40, we get:
z = 13/10
Therefore, z = 1.3.
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