A box contains 50 cups. It is a mix of plastic and paper cups. chooses a cup out of the bag, without looking, records the cup type, and
then places that cup back in the bag. Simon has recorded 24 plastic cups
and 26 paper cups. Using these results, predict the number of plastic cups in
the bag.

Find the least common denominator for thesetvo rational expressions.n^2/n^2+4n+4 -3/n^2+7n+10

Prove sin2a + cos2a - 1 / sin2a + cos2a + 1 = 1 - tana / 1 + cota

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.