If p and q are all positive integers and the maximum integer not greater than 31p/8q is 5, find the
minimum value of p +q .

Step-by-step explanation:

As per question we have:

Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.

So the minimum value of p + q is:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

nlgqer

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