Peter wants to purchase pizza pies and breadsticks for a party. the cashier tells him that pizza pies are $8 each and breadsticks are $5 each. peter cannot spend more than $120. which of the following options models the number of pizza pies and breadsticks that peter can purchase? let y represent the number of pizza pies purchased and let x represent the number of breadsticks purchased.
a.5x + 8y ≤ 120 b.5x + 8y ≥ 120 c.8x + 5y ≤ 120 d.8x + 5y ≥ 120

Jackie purchased 3 bottles of water and 2 cups of coffee for the family for $7.35. ryan bought 4 bottles of water and 1 cup of coffee for his family for 7.15. how much does each bottle of water cost? how much does each cup of coffee cost?

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

Select a graph that have an equation with a < 0