The university of texas at austin has three times as many students enrolledas the university of miami. the university of california, berkley has 3,000 more than twice the number of students as the university of miami. if the three schools have a total enrollment of 96,000 students, what is the enrollment at each school?

define the variables in this problem (there are 3 variables).2.write the system of linear equations to represent the scenario.3.write an augmented matrix for the system of linear equations.4.solve the system of equations using your augmented matrix. write down all of the row operations you perform.5.using at least one complete sentence, answer the question: what is the enrollment at each school?

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

The length of a rectangular piece of land is 92 yards more than three times its width. the perimeter is 760 yards. find its dimensions.

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.