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5A soil scientist is analyzing the nutrient content of a rectangular farm that measures 450 feet by 300 feet. If a soil test requires 1 sample per 75 square feet, how many soil samples are needed for the entire farm?
The farm covers 135,000 square feet because 450 × 300 = <<450*300=135000>>135,000.
Since 1 sample is needed per 75 square feet, the total number of samples is 135,000 ÷ 75 = <<135000/75=1800>>1,800.
An educator organizing a virtual STEM fair wants to distribute digital kits to 12 visiting schools. Each kit contains 3 interactive modules and 5 downloadable worksheets. If each module takes 15 minutes to download and each worksheet takes 4 minutes, how many total minutes of digital content will all schools receive combined?
Each kit contains modules totaling 3 × 15 = <<3*15=45>>45 minutes of content.
Each kit also contains worksheets totaling 5 × 4 = <<5*4=20>>20 minutes of content.
So each kit delivers 45 + 20 = <<45+20=65>>65 minutes of content.
For 12 schools, the total digital content is 12 × 65 = <<12*65=780>>780 minutes.