Esmerelda simplified a complex fraction. her work is shown below. negative 5 and one-fourth divided by three-halves = negative startfraction 21 over 4 endfraction divided by three-halves = (negative startfraction 21 over 4 endfraction) (three-halves) = negative startfraction 24 over 6 endfraction = negative 4 what errors did esmerelda make? select three options.

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

What is the y-coordinate of the solution of the system of equations? [tex]y = 2x + 14 \\ - 4x - y = 4[/tex]y=

Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120°. which equation should you solve to find the length of the third side of the triangle?