Latrell just became a personal trainer and is finalizing his pricing plans. one is to charge $38 for the initial consultation and then $33 per session. another plan is to charge $10 for the consultation and $34 per session. letrell realizes that the two plans have the same cost for a certain number of sessions. what is the cost? how many sessions is that?

Next, chad created this graph with ordered pairs that show the possible ratios of the number of damage to defense cards in his deck.what error chad make?

Roger and natalie travel in similar cars. roger's car drives the two miles to school in 7.5 minutes. natalie drives the same distance in the opposite direction but in only 6.5 minutes. what is true of their velocities?

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