Set up the augmented matrix that describes the situation, and solve for the desired solution. A...

Set up the augmented matrix that describes the situation, and solve for the desired solution.

A bag of mixed nuts contains cashews, pistachios, and almonds. Originally there were 850 nuts in the bag. 30% of the almonds, 20% of the cashews, and 10% of the pistachios were eaten, and now there are 715 nuts left in the bag. Originally, there were 50 more cashews than almonds. Figure out how many of each type of nut was in the bag, to begin with.

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

Write the augmented matrix of the system and use it to solve the system. z. x...

Write the augmented matrix of the system and use it to solve the system. z. x − 2 y − z = − 6 x − y − 2 z = − 4 − x − y + 2 z = − 4

1. For both systems below form the augmented matrix, reduce the augmented matrix to echelon form...

1. For both systems below form the augmented matrix, reduce the augmented matrix to echelon form (zeros below the diagonal), and give the solution to the system. (a) x – 2y + z = 0; 2x + 3y – z = 16; 3x – y – 3z = 23. (b) 2x – 3y + z = -3; x + 2y – 5z = -29; 3x – y + 2z = -2

1---- . Is the statement "Elementary row operations on an augmented matrix never change the solution...

1---- . Is the statement "Elementary row operations on an augmented matrix never change the solution set of the associated linear system" true or false? Explain. A. True, because elementary row operations are always applied to an augmented matrix after the solution has been found. B. False, because the elementary row operations make a system inconsistent. C. True, because the elementary row operations replace a system with an equivalent system. D. False, because the elementary row operations augment the number...

Write the augmented matrix for the following system of linear equations. Solve the equation (x,y,z) by...

Write the augmented matrix for the following system of linear equations. Solve the equation (x,y,z) by row reduction. x+3y-2z=5 3x+5y+6z=7 2x+4y+3z=8

The following matrix is the augmented matrix for a system of linear equations. A = 1...

The following matrix is the augmented matrix for a system of linear equations. A = 1 1 0 1 1 0 0 1 3 3 0 0 0 1 1 2 2 0 5 5 (a) Write down the linear system of equations whose augmented matrix is A. (b) Find the reduced echelon form of A. (c) In the reduced echelon form of A, mark the pivot positions. (d) Does the system have no solutions, exactly one solution or infinitely...

Solve each item supporting your answer with clear explanation. 1.Consider the following augmented matrix of a...

Solve each item supporting your answer with clear explanation. 1.Consider the following augmented matrix of a system of linear equations. ( 7 −3 4 6 −3 2 6 2 2 5 3 −5 ) a. Solve the system with the Jacobi method. First rearrange to make it diagonally dominant if possible. Use [0,0,0] as the starting vector. Find the condition number of the matrix of coefficients κ∞(A), and compute how many iterations are required to get the solution accurate to...

Question