Final answer:
To solve the equation, one-half of one-seventh of (T) equals one-third of one-fifth of 90, you can set up the equation and solve for (T). The value of (T) is 6.
Step-by-step explanation:
To solve the equation one-half of one-seventh of (T) equals one-third of one-fifth of 90, we can set up the equation:
(1/2) * (1/7) * T = (1/3) * (1/5) * 90
Simplifying both sides of the equation gives:
(1/14) * T = (1/15) * 90
Multiplying both sides by 14 gives:
T = (1/15) * 90 * 14
Simplifying gives:
T = 6
Therefore, the value of (T) is 6, so the correct answer is A. 12.