Answer:
The answer to your question is: V = 2048 ml
Step-by-step explanation:
Data
Volume = 5000 ml
20% is evaporated per week
Volume of water left after 4 weeks = ?
Process
1st week 5000 ml ----------------- 100 %
x ----------------- 20 %
x = (20x 5000) / 100
x = 1000 ml
After a week there are = 5000 - 1000 = 4000 ml left
2nd week 4000 ml ---------------- 100 %
x ---------------- 20%
x = 800 ml
After two weeks, there are = 4000 - 800 = 3200 ml left
third weeks 3200 ml ----------------- 100 %
x ------------------ 20%
x = 640 ml
After three weeks there are 3200 - 640 = 2560 ml left
4rd 2560 ml ----------------- 100%
x ---------------- 20%
x = 512 ml
After four weeks there are 2560 - 512 = 2048 ml left
Answer:
81 / 256
Step-by-step explanation:
just multiply 3/4 4 times
(Just because I'm a high schooler doesn't mean that I don't know this I take AP and IB classes)
Answer:
n?
Step-by-step explanation:
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Step-by-step explanation:
All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.
