Final answer:
To evaluate 4x+5(y+9) when x is 2 less than the quotient of y and 4, and y=12, substitute the given values of x and y into the expression. The result is 109.
Step-by-step explanation:
To evaluate 4x+5(y+9) when x is 2 less than the quotient of y and 4, and y=12, we need to substitute the given values of x and y into the expression.
Given x is 2 less than the quotient of y and 4, we can calculate x as follows:
x = (y/4) - 2 = (12/4) - 2 = 3 - 2 = 1
Now we can substitute x=1 and y=12 into the original expression:
4x+5(y+9) = 4(1) + 5(12+9) = 4 + 5(21) = 4 + 105 = 109