The ratio of the number of beads karen had to the number of beads patricia had was 2: 5 .after patricia bought another 75 beads, the ratio became 4: 15.how many beads did each girl have at first?

In the diagram below? p is circumscribed about quadrilateral abcd. what is the value of x

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.

Benjamin is making bow ties. how many 1/2yards lomg bow ties can he make if he has 18 feet of fabric?