Since 2.4 pints per acre were used, multiply the total amount of acres (460) times 2.4 to find the total volume of herbicide to be used:
[tex]460\times2.4\text{ pints}=1104\text{ pints}[/tex]Since 1 gallon is equal to 8 pints, divide the number of pints over 8 to find the number of gallons that will be used:
[tex]\frac{1104}{8}=138[/tex]Therefore, 138 gallons will be used.