Evaluate 5c+cd when c=1/5 and d = 15

4

Step-by-step explanation: Here we're asked to evaluate 5c + cd given that c = 1/5 and d = 15.

So all we have to do is plug our given values for c and d into the problem and simplify from there.

5c would be 5(1/5) + c which is 1/5 · d which is 15 so we have (1/5)(15).

So rewriting our problem we have 5(1/5) + (1/5)(15).

Simplifying from here, remember that our order of operations tells us we must first multiply 5(1/5) and (1/5)(15).

So multiplying 5(1/5), the 5 and 5 cross cancel

to 1 and 1 so we have 1 · 1 or 1.

Next we have (1/5)(15) which we can rewrite as

(1/5)(15/1) which is 15/5 or 3.

So we now have 1 + 3 which is 4.