Alocal snack food company asks you to develop a healthy trail mix recipe. they will sell the trail mix in a 6-serving package. the company gives you a list of requirements.
• the ratio of weight of fruits to weight of nuts and/or seeds must be 2 : 1.
• the trail mix must have 4 or more ingredients.
• one serving must be between 1 and 2 ounces.
• the cost per serving must be between $0.35 and $0.50.
develop your recipe and include the total weight and cost for 1 serving. then write your recipe for 6 servings and include the total weight and cost for this amount. explain how your recipe meets all the requirements.
nuts cost per pound fruits cost per pond
peanuts 3.99 dried banana chips 3.49
almonds 7.99 dried cranberries 4.99
sunflower seeds 2.99 raisins 4.99

The measure of the angles of triangle abc are given by the expressions in the table. angle-measure a-48 degrees b-(6x-28)degrees c- (2x) degrees find the value of x. then find the measures of angles b and c. enter your answers in the boxes. x= m m

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria. the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Afrequency table of grades has five classes (a, b, c, d, f) with frequencies of 3, 13, 14, 5, and 3 respectively. using percentages, what are the relative frequencies of the five classes?