Question

Solve for u in the equation 5u' + 35 = 95, where u is a real number. Round your answer to the nearest hundredth.

A) 12.00
B) 12.33
C) 12.50
D) No solution.

Answer 1

To solve for u in the equation 5u' + 35 = 95, subtract 35 from both sides to get 5u' = 60 and then divide by 5 to find u' = 12. Round to the nearest hundredth to get 12.00, which is answer option A).

Step-by-step explanation:

To solve for u in the equation 5u' + 35 = 95, we first perform algebraic operations to isolate the term containing u. Here is the step-by-step process:

1. Subtract 35 from both sides of the equation: 5u' + 35 - 35 = 95 - 35, which simplifies to 5u' = 60.
2. Divide both sides by 5 to solve for u': (5u')/5 = 60/5, resulting in u' = 12.
3. Since we are asked to round the answer to the nearest hundredth and 12 is an integer, its hundredth representation is simply 12.00.

Therefore, the solution to the equation, rounded to the nearest hundredth, is 12.00, which corresponds to option A).