Answer: ![x=5(13-12p)](https://tex.z-dn.net/?f=x%3D5%2813-12p%29)
Step-by-step explanation:
Given equation: ![x=65-60p](https://tex.z-dn.net/?f=x%3D65-60p)
![\\\Rightarrowx=(5\times13)-(5\times12)p](https://tex.z-dn.net/?f=%5C%5C%5CRightarrowx%3D%285%5Ctimes13%29-%285%5Ctimes12%29p)
Since 5 is the greatest common factor of 65 and 60 in the given expression.
Therefore, the above expression can be written as
![x=5(13-12p)](https://tex.z-dn.net/?f=x%3D5%2813-12p%29)
Hence, by factoring the side that contains the variable p we have the expression
.
Answer:
![t = 9](https://tex.z-dn.net/?f=t%20%3D%209)
Step-by-step explanation:
![11t - 6t = 45](https://tex.z-dn.net/?f=11t%20-%206t%20%3D%2045)
![5t = 45](https://tex.z-dn.net/?f=5t%20%3D%2045)
<h3>
![t = \frac{45}{5}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B45%7D%7B5%7D%20)
</h3>
![t = 9](https://tex.z-dn.net/?f=t%20%3D%209)
<h3>Hope it is helpful....</h3>
5/11 because if you simplify starting at 40/88 you get 5/11
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:
Aflam cat costa 1 stilou (38 - 8) : 6 = 30 : 6 = 5 lei
:)