Cramer's Rule — Unit test Answers

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.a.c.b.d.

Tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. In the high season, 1200 people come to the zoo every day. On a certian day, the total revenue at the zoo was $5300. For every 3 teenagers, 8 children went to the zoo. How many teenagers went to the zoo?

Write the augmented matrix for each system of equations.a.c.b.d.

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Compared to the number of children in attendance, three-fourths as many teenagers attended. How many teenagers attended?

Which determinants can be used to solve for x and y in the system of linear equations below?

Which equation can be used to solve for y-value of the solution in the system of linear equations below?

The vertices of a triangle are given in the columns of the matrix . If is found to perform a transformation, what are the coordinates of the transformed triangle?

What are the values of x and z in the solution to the system of linear equations below?

James bought two shirts and three pairs of pants for $87. Matthew bought two pairs of pants and one shirt for $53. Assuming each pair of pants costs the same amount and each shirt costs the same amount, how much does one pair of pants cost?

If , then what is –K?

The vertices of a rectangle are given in the columns of the matrix . If is found to perform a transformation, what are the coordinates of the transformed rectangle?

What is the product?

Write the augmented matrix for each system of equations.a.c.b.d.

Write the augmented matrix for each system of equations.a.c.b.d.

Lillian borrows $10,000. She borrows some from her friend at 8% annual interest, twice as much as that from her bank at 9%, and the remainder from her insurance company at 5%. She pays a total of $830 of interest for the first year. How much did she borrow from the insurance company?

If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours. When only George and Mario work together, it takes 8 hours to paint the room. Tom and George, working together, take 6 hours to paint the room. How long would it take Tom to paint the room alone? Hint: Write the system of equations shown below in augmented form, then solve the system for T (Tom's painting rate). Next, use the equation Painted Area = Painting Rate× Time and solve for Time to determine how long it would take Tom to paint the room alone.

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.a.c.b.d.