Question

1. You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 9 buns, 11 defrosted beef patties, and 8 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make? HINT [See Example 1.]

plain burgers=

double cheeseburgers=

regular cheeseburgers=

2. A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $209 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 65. The number of $5 bills is 4 times the number of $10 bills, and the number of $1 bills is 1 less than twice the number of $5 bills. Write a system of linear equations to represent the situation. Then use matrices to find the number of each denomination.

$1 bills | |

$5 bills | |

$10 bills | |

$20 bills |

Answer #1

Thus, we can make 3 plain burgers, 2 double cheese burgers and 4 regular cheese burgers.

Project 5: Stoichiometry
Stoichiometry is the study in which we determine the relative
quantities of reactants and products in a balanced chemical
equation. The law of conservation of mass states that the mass of
all participants in a chemical reaction must remain constant over
time. Matter is neither created nor destroyed in a chemical
reaction.
1. You have 13 slices of bread and 5 slices of cheese. How many
grilled cheese sandwiches can you make? What is the limiting
reagent?...

7.
(07.02 MC)
Oscar, a yoga instructor at Yoga for You, is interested in
comparing levels of physical fitness of students attending a nearby
high school and those attending a local community college. He
selects a random sample of 210 students from the high school. The
mean and standard deviation of their fitness scores are 82 and 14,
respectively. He also selects a random sample of 210 students from
the local community college. The mean and standard deviation of
their...

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