To get ready for a field trip students and adults were put into groups. for every 8 students in group there were 3 adults. in total ,in all the groups there were 48 students .how many adults were also on the field trip?

What is the common difference in the following arithmetic sequence? 7,3,-1,-5

The variable z is directly proportional to x, and inversely proportional to y. when x is 4 and y is 13, z has the value 1.2307692307692. what is the value of z when x= 9, and y= 20

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply