Problem 4 (a) Three friends are packing sweets into gift boxes. They agree that
each box should contain the same number of sweets, but they are
each working in separate locations with their own pile of sweets so
cannot share boxes. Gwen has 286 sweets, Bill has 390 sweets and
Zeta has 468 sweets. If they put the largest number of sweets into
each box that they can and they use up all their sweets, how many
boxes of sweets will they pack?
(b) Use the Euclidean Algorithm to find the highest common factor of
8008 and 24255 (you need to show all working).

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Plz ( true - false) all triangles have interior angles whose measure sum to 90.

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )