Use least common multiple or greatest common divisor to solve the problem. Planets A, B, and C orbit a certain star once every 3, 5, and 18 months, respectively. If the three planets are now in the same straight line, what is the smallest number of months that must pass before they line up again? 270 months 90 months 54 months 26 months

You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels are identical, and the dimes are identical. In how many ways can you put all the coins in a row?

Joe's Assignment Average is 80, his Quiz Average is 70, and he got a 50 on the Midterm Exam. In order to get a grade of 'B' for the class, he needs a weighted average of 74. What is the minimum grade Joe needs to get on the final exam in order to get a 'B' for the class? (Enter your answer as a single integer with no words.) AV

(07.04 LC) Mellie is conducting a test on mold spores on bread. She uses 6 slices of bread to compare two strains of mold. She applies one strain to the left side of the bread and one strain to the right side. She flips a coin to decide which strain goes on the right side of the bread. The mold spores that appear on each side are counted and she records them in a table. Bread Number of Spots for Strain 1 Number of Spots for Strain 2 1 30 19 2 21 17 3 15 15 4 13 12 5 6 9. 6 8 4 If Mellie is to perform an appropriate t-test to determine if there is a mean difference between the number of spots per piece of bread produced by the two strains, how many degrees of freedom should she use? 4 10 12 5