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A scientist is conducting an experiment that requires a precise mixture of two chemicals. She needs to combine Chemical A and Chemical B in a 3:5 ratio. If she uses 12 liters of Chemical A, how many liters of Chemical B does she need to maintain the correct ratio?
To find out how many liters of Chemical B are needed, first determine how many parts the 12 liters of Chemical A corresponds to in the ratio. The ratio of Chemical A to Chemical B is 3:5, meaning for every 3 parts of A, there are 5 parts of B.
Since there are 5 parts of Chemical B:
A car rental company offers two plans: Plan X charges $20 per day plus $0.15 per mile, and Plan Y charges $35 per day with unlimited mileage. Determine the number of miles driven in a day for which both plans cost the same.
Set up the cost equation for both plans and set them equal to find the mileage where costs are the same.
So, 100 miles is the break-even point.
A rectangular swimming pool is 25 meters long and 10 meters wide. A walkway of uniform width surrounds the pool, and the total area of the pool and walkway combined is 600 square meters. What is the width of the walkway?
Discard negative root. The walkway is approximately 4 meters wide.