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Answers by Thomas E.

Expand the numerator using FOIL:   (16 + 64i + 3i +12i2)/i  i2 = -1   (16 - 12 + 67i)/i   combine like terms   (4 + 67i)/i   Multiple by i/i   (4i + 67i2) / i2  and simplify   (-67 +...

Let x = # of student tickets sold, then 345-x = # of non-student ticket sold.  Set up a revenue equation:   3x + 5(345-x) = 1283   3x + 1725 - 5x = 1283   -2x = -442   x = 221, non-students = 124

Let x = amount of 24% fertilizer, then 100-x = amount of 12% fertilizer.  Set up the following equation:   x(.24) + (100-x)(.12) = 100(.21)   .24x + 12 - .12x = 21   .12x = 9   x = 75   You need 75 kg of 24% fertilizer...

Let x = Amount invested in the 1st account and (35750-x) = amount invested in the second account.     .1625x + .095(35750-x) = 4746.20   .0675x + 3396.25 = 4746.20   .0675x = 1349.95   x = 20000 in teh 1st account   15750...

Probability (answer)

When rolling two dice, there are 36 possible outcomes.  There are 6 sets of doubles and a sum of six can be (1,5), (2,4), (3,3), (4,2) and (5,1).  but we cant double count the (3,3).  So there are a total of 10 combinations of 6 or doubles.   Therefor the probability...