For each of the algebra problems below, round your answer to 2
decimal places and record...
32. Bill can mow his mother's lawn in 54 minutes. His brother Jim can mow it in 72 minutes. How long will it take them to do it together, if each has his own lawnmower? (Record your answer in minutes rounded to one decimal place. For example, if the answer you find is 14.2835 minutes, record 14.3). 30.86 minute 33. A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a flat fee of $200, plus S1 for every pot that is delivered safely. The moving company must pay the florist $4 each for any pots that are lost or broken. If two pots are lost, four pots are broken, and the rest are delivered safely, how much should the moving company be paid? 748.00 34. The school band is going to a competition. Five members play the flute. There are three times as many members who play the trumpet. There are eight fewer trombone players than trumpeters, and eleven more drummers than trombone players. There are twice as many members that play the clarinet as members that play the flute. There are four fewer tuba players than there are trombone players, but three more members play the French horn than play the trombone. The band director, his assistant, and six parent volunteers are also going. How many seats are needed on the bus? 76 35. Joe drew 32 pictures in his sketch book. He drew four times as many pictures as Kevin. How many pictures did Kevin draw? 8 36. A train leaves Rock City at an average speed of 50 miles per hour and heads for Gnome City. Another train leaves Gnome City at an average speed of 40 miles per hour and heads for Rock City. If the route is 360 miles long, how many hours will it take for the 2 trains to meet? 4.00 37. Alicia was paid $125 for babysitting five days after school for the Smith family. Each day Mrs. Smith 19.00 38. Anthony's age plus the cube of Collin's age is 1,739. Collin's age plus the cube of Anthony's age is paid her $3 more than the day before. How much money did she earn on the first day? 1,343. How old are Collin and Anthony? he need to invest in stocks that are expected to generate a return of 11.8% so that the average return on 12 39. Ed invests $68,000 in certificates of deposit (ie, CDs) paying 1.75%. How much additional money does 11 of Ed's investments is 7.5%? 90,930.23 40. A rich merchant had collected many gold coins. He did not want anybody to know about them. One day his wife asked, "How many gold coins do you have?" After pausing a moment, he replied, "Well! IfI divide the coins into two unequal numbers, then 25 times the difference between the two numbers equals the difference between the squares of the two numbers." How many gold coins does the rich merchant have? 25.00