Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in dormitories, how
2 answers:
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-x + 2y = 10
6y = -12x + 1
6y = -12x + 1
6 6
y = -2x + ¹/₆
-x + 2y = 10
-x + 2(-2x + ¹/₆) = 10
-x + 2(-2x) + 2(¹/₆) = 10
-x - 4x + ¹/₃ = 10
-5x + ¹/₃ = 10
- ¹/₃ - ¹/₃
-5x = 9²/₃
-5 -5
x = -1¹⁴/₁₅
y = -2x + ¹/₆
y = -2(-1¹⁴/₁₅) + ¹/₆
y = 3¹³/₁₅ + ¹/₆
y = 4¹/₃₀
(x, y) = (-1¹⁴/₁₅, 4¹/₃₀)
It is intersecting, making the answer equal to C.
6y = -12x + 1
6y = -12x + 1
6 6
y = -2x + ¹/₆
-x + 2y = 10
-x + 2(-2x + ¹/₆) = 10
-x + 2(-2x) + 2(¹/₆) = 10
-x - 4x + ¹/₃ = 10
-5x + ¹/₃ = 10
- ¹/₃ - ¹/₃
-5x = 9²/₃
-5 -5
x = -1¹⁴/₁₅
y = -2x + ¹/₆
y = -2(-1¹⁴/₁₅) + ¹/₆
y = 3¹³/₁₅ + ¹/₆
y = 4¹/₃₀
(x, y) = (-1¹⁴/₁₅, 4¹/₃₀)
It is intersecting, making the answer equal to C.
Answer:
Step-by-step explanation:
Step 1. Calculate the volume of the room
V = lwh = 5 yd × 5 yd × 3 yd = 75 yd³
Step 2. Convert cubic yards to cubic feet
3 ft = 1 yd
Step 3. Convert cubic feet to cords
128 ft³ = 1 cord