Melillo middle school prepared 30 cups of trail mix for a carnival. the ratio of nuts to dried fruit in the trail mix was 3 to 2. if the teachers ate 6 cups of nuts out of the mix, how many cups of dried fruit would need to be taken out in order to keep the original ratio?

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

1: 4 if the wew 35 surfboards at the beach how many were short boards?

Find the domain and range of the following function f(x) = 51x - 21+ 4