For these questions, any answers that are not whole numbers should be entered as fraction(s) using / for the fraction bar(s). A factory produces 4 gallons of orange juice for every 24 gallons of apple juice produced. Use this ratio to answer the questions.

What unit rate describes the rate at which the factory produces juice? blank
gallon(s) of orange juice per 1 gallon of apple juice

The factory produced 1,920 gallons of apple juice on Monday. How many gallons of orange juice did they produce on Monday? blank
gallon(s)

The factory produced 6,260 gallons of orange juice during the rest of the week. How many gallons of apple juice did they produce during the rest of the week? blank
gallon(s)

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

Use the expression below.–4b + 8c + 12 – 8b – 2c + 6part asimplify the expression. enter your answers in the boxes. b + c + part bfactor the simplified expression using the gcf. a. 2(–2b + c + 3) b. 3(–2b + c + 3) c. 4(–2b + c + 3) d. 6(–2b + c + 3)part cwhat is the value of the expression when b = 2 and c = –3? enter your answer in the box.

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?