Final answer:
The value of q, given N=1/4+1/5, m=9, and x=2, following the equation n=m/x+q is -81/20.
Step-by-step explanation:
To find the value of q when N=1/4+1/5, m = 9, and x=2 using the equation n= m/x+q, we first need to calculate the value of n. The value of N given is 1/4 + 1/5, which simplifies to 5/20 + 4/20 = 9/20. Thus, the value of n is 9/20. Since m = 9 and x = 2, we substitute these values into the equation to get:
9/20 = 9/2 + q
To solve for q, we will first simplify 9/2 to get 4.5 and then isolate q:
q = (9/20) - 4.5
To ensure both terms are on a common denominator, we convert 4.5 to a fraction with a denominator of 20:
4.5 = 90/20
Thus, q equals:
q = (9/20) - (90/20) = -81/20
Therefore, the value of q is -81/20.