The ratio is 4:3:1
let the ratio be 4x:3x:x
according to the question,4x+3x+x=40
8x=40
x=5
therefore amount of gravel=x*4=5*4=20
amount of sand=5*3=15
amount of cement=5*1=5
12k-2+6k
find like terms and put them next to each other
12k+6k-2
combine like terms
18k-2
C
Answer:
The answer is B.
Step-by-step explanation:
Answer:
$282.59 per share
Step-by-step explanation:
Given that,
Stockholders' equity = $323 million
price/earnings ratio = 14
shares outstanding = 8,800,000
Market/book ratio =7.7
Book Value per share:
= Stockholders' equity ÷ shares outstanding
= $323,000,000 ÷ 8,800,000
= $36.70
Market price per share:
= Book Value per share × Market/book ratio
= $36.70 × 7.7
= $282.59 per share
The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
