Answer:
Profit = Rs 100
Profit %age = 6.25%
Step-by-step explanation:
Cost Price = Rs 80
Cost Price for 20 kg = Rs 1600
Selling Price = Rs 85
<u><em>Profit for 1 kg</em></u> = Rs 85 - Rs 80
=> Rs 5 (For 1 Kg)
<u><em>Profit for 20 kg:</em></u>
=> Rs 5*20
=> Rs 100
<u><em>Now Profit %age:</em></u>
=> 
=> 0.0625 * 100
=> 6.25%
Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h
Answer:
(-8, -6)
Step-by-step explanation:
When you graph the given equation on the given graph, you find the lines intersect at (-8, -6).
The solution to the system is (-8, -6).
__
The equation is given in slope-intercept form, so you can find the y-intercept (y=10) and draw a line with slope 2 from there. It will go through (-5, 0), so you know the solution lies in the 3rd quadrant and has an x-value less than -5. Only one answer choice matches.
186+6 multiple 4-6 multiple 15
186+24-90
120 answer
