To qualify for a certain need-based scholarship, a student must get a score of at least 75 on a qualification test. In addition, the student's family must make less than $40.000 a year. Define the variables, write a system of inequalities to represent this situation, and name one possible solution.

The soup shack usually makes tomato soup with 99 tomatoes for every 1212 cups of soup. today, they made 88 cups of soup with 66 tomatoes. how does today's soup compare to the usual recipe?

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

What is the greatest number of parts of a circle that can be formed by cutting the circle with 7 straight cuts? (note: the parts do not have to be equal in size)