The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. the park offers half off all entry tickets during the off-peak season. the sandlers paid a total of $78 for 1 adult ticket and 2 child's tickets to the water park during the off-peak season. the following equation represents this situation, where x represents the regular price of an adult ticket: 78 = 1/2x + (x − 6) what is the regular price of a child's ticket? $50 $56 $75 $81

The radius of the circle is 4 cm and the measure of the central angle is 90° the area of the sector with a central angle measuring 90° and radius of length 4 cm is vt cm the triangle in the sector is 4 cm the area of the triangle is v/cm² the area of the segment of the circle is (471 - ) cm?

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297