Answer:
Step-by-step explanation:
The system of equations (a) is the correct one for this situation. We must now solve this system for x and y, which are the unit costs.
Multiplying the 2nd equation by (-3/2) yields -12x - 18y = -168.
Now eliminate x by combining the two equations
12x + 5 y = 116
-12x -18y = - 168
-------------------------
-13y = -52, or y = 4.
If y = 4 then 12x + 5y = 116, or
12x +5(4) = 116, or
12x + 20 = 116, or
12x = 96, or x = 8
Roller pens are $8/dozen and ball point pens are $4 per dozen.
Answer:
a)
<u>Verify is the corresponding sides have same ratio:</u>
- AB / DE = 50/60 = 5/6
- BC / EF = 20/24 = 5/6
Since the ratios are same, the triangles are similar
b)
<u>If one dimension is same, the base areas will make difference by the square of the scale factor:</u>
y = 5x
and x = y/5
you can then put any value for x and y and it will make sense
Simplify brackets
-8a - 6 - 10a - 2 + 5a
Collect like terms
(-8a - 10a + 5a) + (-6 - 2)
Simplify
<u>-13a - 8</u>