Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).
The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).
the location of point A after the transformations are complete is (-5, 1)
The answer is 3/4 BECAUSE it is ratio
So what you can do is:
3 breads * 4 meats * 7 toppings
Because there are four meats per each of the three breads and 7 toppings for each type of bread and meat combo.
so,
3 * 4 * 7
12 * 7
84
There are 84 sandwich combos.
Answer:the cost of renting one chair is $2.25
the cost of renting one table is $8.25
Step-by-step explanation:
Let x represent the cost of renting one chair.
Let y represent the cost of renting one table.
The total cost to rent 3 chairs and 5 tables is $48. This means that
3x + 5y = 48 - - - - - - - - - -1
The total cost to rent 6 chairs and 2 tables is $30. This means that
6x + 2y = 30 - - - - - - - - - -2
Multiplying equation 1 by 6 and equation equation 2 by 3, it becomes
18x + 30y = 288
18x + 6y = 90
Subtracting, it becomes
24y = 198
y = 198/24 = 8.25
Substituting y = 8.25 into equation 1, it becomes
3x + 5 × 8.25 = 48
3x + 41.25 = 48
3x = 48 - 41.25 = 6.75
x = 6.75/3 = 2.25
