$78 without tax multiplied by 1.25 or 25% is $97.5 sales tax makes them $107.25
Answer:
x = 1
y = -24
Step-by-step explanation:
8x + y = -16
-3x + y = -5
Subtract equation one from equation two
8x - -3x + y - y = -16 - - 5
8x + 3x = -16 + 5
11x = 11
Divide both sides by 11
11x/11 = 11/11
x = 1
Now substitute 1 for x in either of the equations to get y.
Using equation one, we have
8x + y = -16
8 x 1 + y = -16
8 + y = -16
Subtract 8 from both sides
8 - 8 + y = -16 - 8
y = -24
x = 1
y = -24
a.) The orientation of ABCD is clockwise, as is the orientation of A'B'C'D'. This means the transformation involves a even number of reflections (may be 0). The orientation of AB is North, and the orientation of A'B' is West, so a rotation of 90° CCW (or equivalent) is involved. We can find the point of intersection of the perpendicular bisectors of AA' and BB' (at (-1, -1)) to determine a suitable center of rotation.
ABCD can be transformed to A'B'C'D' by ...
- rotation 90° CCW about the point (-1, -1)
b.) Rotation by 90° can also be accomplished by reflection across a diagonal line. Since we want the orientation to remain unchanged, we need another reflection to put the figure into its final position. A suitable alternate sequence for mapping ABCD to A'B'C'D' is ...
- reflection across the line y=x
- reflection across the line x=-1
17b/12a and put a minus sign between both equations
Answer:
3:4
Step-by-step explanation:
This is basically asking you to simplify the values and find the lowest ratio that compares their sizes. Starting with 27:36, you simplify. You could divide by 3, but 9 also works. Dividing both by 9 gives you 3:4, which is the most simplified answer.