-2x + 6y = 6
6y - 6 = 2x
6(y-1) = 2x
(1/2) * 6(y-1) = 2x * (1/2)
x = 3(y-1)
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If, x = 3(y-1),
-7 * 3(y-1) + 8y = -5
-21 * (y-1) + 8y = -5
-21y + 21 + 8y = -5
21 + 5 = 21y - 8y
26 = 13y
y = 26/13
Therefore: y=2.
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If y=2,
x = 3(2-1) = 3
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Answers:
x=3 and y=2.
For the perimeter you have to consider the EXTERNAL SHAPE ONLY:
a) the perimeter of half a circle WITHOUT ITS DIAMETER is:
π.R - 2R → 3.14x1.5 - 2x1.5 → 1.71 cm
b) the perimeter of the rectangle WITHOUT THE UPPER SIDE is:
2.5+3+2.5 = 8 cm
Hence the perimeter of the figure is 1.71 + 8 = 9.71 cm
2) Area of the figure:
Area of half circle is π.R²/2 →3.14 x (1.5)²/2 → Area half circle = 3.5325 cm²
Area of rectangle = 2.5 x 3 = 7.5 cm²
Total area = 3.5325 + 7.5 = 11.0325 ≈ 11 cm²
Answer:
1. When he sold 20 slices of pizza at $1.25 each, he made $20
When he sold 50 slices of pizza at $1.25 each, he made $62.5
2. 96 slices of pizza. You would get that by dividing 120 by 1.25, as he needs to make $120, and each slice costs $1.25
Answer:
7 rings = $2.52
then 1 ring will cost = 1/7×2.52
= 0.36
Therefore 1 ring will cost $0.36.