Write a System of Linear Equations in Three Variables, and Then

question 83

Multiple Choice

Write a system of linear equations in three variables, and then use matrices to solve the system.
-A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A tree takes 14 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 85 hours for prep time, 56 hours for painting, and 100 hours for firing, how many of each can be made?

• A) 7 wreaths; 4 trees; 2 sleighs
• B) 4 wreaths; 2 trees; 7 sleighs
• C) 2 wreaths; 7 trees; 4 sleighs
• D) 8 wreaths; 5 trees; 3 sleighs

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Indian Issues

Concerns and legal matters related to the indigenous peoples of the Americas, often involving land rights, cultural preservation, and political recognition.

President

The president is the head of state and government in a republic, exercising executive authority and often serving as the commander-in-chief of the armed forces.

Cherokee

A Native American people originally from the southeastern United States, forced to relocate to Oklahoma via the Trail of Tears during the 1830s.

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A state in the southeastern United States, established as a British colony in 1732, known for its diverse geography from beaches to mountains.