Density = mass / volume
Density = 44,800 kg/ 5m^3
Density = 8,960 km/m^3
Answer:
3000
Step-by-step explanation:
15 times 4 = 60
60 times 5 =1500
1500 times 2=3000
So she walked during this time with <span>4 miles per hour (x*4)
during
the rest of the way (which is 0.7-x, as the whole way took her 42
minutes, so the rest is 0.7-x) she walked with 5 miles per hour - the
distance was (0..7-x)*5 m/h
the total distance was 3 miles, so if we sum the two distances, we will get 3 miles:
x*4+ (0.7-x)*5=3
let's remove the bracket:
4x+0.7*5-5x=3
</span>
<span>4x+3.5-5x=3
subtract 3.5 from both sides:
4x-5x=3-3.5
-x=-0.5
multiply both sides by (-1)
x=0.5:
so she walked for half an hour alone, that is for 30 minutes!</span>
Answer:
41/24
Or in Mixed Number format:
1 17/24
Answer:
![(\sqrt{2})^3](https://tex.z-dn.net/?f=%28%5Csqrt%7B2%7D%29%5E3)
Step-by-step explanation:
Given the expression
![(x - \frac{1}{x} )^3](https://tex.z-dn.net/?f=%28x%20-%20%5Cfrac%7B1%7D%7Bx%7D%20%29%5E3)
Simplify
![(\frac{x^2-x}{x} )^3](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx%5E2-x%7D%7Bx%7D%20%29%5E3)
Given that x = 1+√2
Substitute
![(\frac{(1+\sqrt{2} )^2-(1+\sqrt{2} )}{1+\sqrt{2} } )^3\\=( \frac{1+2\sqrt{2} +2 - 1 - \sqrt{2}}{1+\sqrt{2}} )^3\\= (\frac{\sqrt{2}+2}{1+\sqrt{2}})^3 \\Rationalize\\= (\frac{\sqrt{2}-2+2-2\sqrt{2}}{1-2})^3 \\=( \frac{-\sqrt{2}}{-1})^3 \\= (\sqrt{2})^3\\ \\](https://tex.z-dn.net/?f=%28%5Cfrac%7B%281%2B%5Csqrt%7B2%7D%20%29%5E2-%281%2B%5Csqrt%7B2%7D%20%29%7D%7B1%2B%5Csqrt%7B2%7D%20%7D%20%29%5E3%5C%5C%3D%28%20%5Cfrac%7B1%2B2%5Csqrt%7B2%7D%20%2B2%20-%201%20-%20%5Csqrt%7B2%7D%7D%7B1%2B%5Csqrt%7B2%7D%7D%20%29%5E3%5C%5C%3D%20%28%5Cfrac%7B%5Csqrt%7B2%7D%2B2%7D%7B1%2B%5Csqrt%7B2%7D%7D%29%5E3%20%5C%5CRationalize%5C%5C%3D%20%28%5Cfrac%7B%5Csqrt%7B2%7D-2%2B2-2%5Csqrt%7B2%7D%7D%7B1-2%7D%29%5E3%20%5C%5C%3D%28%20%5Cfrac%7B-%5Csqrt%7B2%7D%7D%7B-1%7D%29%5E3%20%5C%5C%3D%20%28%5Csqrt%7B2%7D%29%5E3%5C%5C%20%5C%5C)