There are 30 markers in a bag. There is at least 1 red marker among any 12 randomly selected markers, and there is at least 1 black marker among every 20 randomly selected markers. How many red markers are in the the bag?

❤️ (geometry) does the construction demonstrate how to copy an angle correctly using technology a) yes; the distance between points a and f was used to create circle h b) yes; the distance between points f and g was used to create circle h c)no; the distance between points a and f was used to create circle h d) no; the distance between points f and g was used to create circle h

For the following equations, find the ratio of a to b. be sure to show all of your work. a. 3a = 6b b. 15a = 5b

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?