It can be written as 12/100
or reduced to 6/50
or reduced even further to 3/25
Answer:
Step-by-step explanation:
Cost price (CP) = Purchase amount + amount spend on repairing
= 85000 + 5000
= ₹ 90000
Profit % = 10%
= ₹ 99000
For this case we have that the equation that describes the height is:
Where,
v: initial speed
c: initial height
Substituting values we have:
Then, to find the time, we use the quadratic formula:
Substituting values we have:
Rewriting:
We discard the negative root because we want to find the time.
We have then:
Answer:
D. 
Answer: $7,358
Step-by-step explanation: $26 * 283 (each student) =7,358 dollars
Answer:
Step-by-step explanation:
This is the sum of perfect cubes. There is a pattern that can be followed in order to get it factored properly. First let's figure out why this is in fact a sum of perfect cubes and how we can recognize it as such.
343 is a perfect cube. I can figure that out by going to my calculator and starting to raise each number, in order, to the third power. 1-cubed is 1, 2-cubed is 8, 3-cubed is 27, 4-cubed is 64, 5-cubed is 125, 6-cubed is 216, 7-cubed is 343. In doing that, not only did I determine that 343 is a perfect cube, but I also found that 216 is a perfect cube as well. Obviously, x-cubed and y-cubed are also both perfect cubes. The pattern is
(ax + by)(a^2x^2 - abxy + b^2y^2) where a is the cubed root of 343 and b is the cubed root of 216. a = 7, b = 6. Now we fill in the formula:
(7x + 6y)(7^2x^2 - (7)(6)xy +6^2y^2) which simplifies to
(7x + 6y)(49x^2 - 42xy + 36y^2)
