Answer:

Step-by-step explanation:
Given the information, create the following augmented matrix:
The first order was for 1 tray of club sandwiches, at a cost of $9. The second-order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches.

Into an augmented matrix:

Solve.
Let x be the cost of a tray of club sandwiches.
Let y be the cost of a tray of vegetarian sandwiches.
Answer:
His sister is 3 years old.
Step-by-step explanation:
Micah - M
Sister - S
M = 3 + 5S
18 = 3 + 5S
15 = 5S
3 = S
His sister is 3.
Answer:
parallel line: y=-3x+14
perpendicular line: y=1/3x +2/3
Step-by-step explanation:
For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)
Answer:

Step-by-step explanation:
When finding the reciprocal of a value, it flips the denominator with the numerator and vice versa.
The number 1 can be represented as the fraction 1/1 and 1 divided by 1 is still equivalent to 1.
Therefore, the reciprocal of 1 will always be 1.