What is 8.25+1/4w=10.75

w = 10

Step-by-step explanation:

Solve for w:

w/4 + 8.25 = 10.75

Put each term in w/4 + 8.25 over the common denominator 4: w/4 + 8.25 = w/4 + 33/4:

w/4 + 33/4 = 10.75

w/4 + 33/4 = (w + 33) / 4:

(w + 33) / 4 = 10.75

Multiply both sides of (w + 33) / 4 = 10.75 by 4:

(4 (w + 33)) / 4 = 4*10.75

(4 (w + 33)) / 4 = 4/4 * (w + 33) = w + 33:

w + 33 = 4*10.75

4*10.75 = 43:

w + 33 = 43

Subtract 33 from both sides:

w + (33 - 33) = 43 - 33

33 - 33 = 0:

w = 43 - 33

43 - 33 = 10:

Answer: w = 10