To go from kilograms to grams, you must know how many grams there are in a kilogram, or how many kilograms there are in a gram.
- There are 1000 grams or 10³ grams in 1 kilogram.
- There are 0.001 kilograms or 10⁻³ kilograms in 1 gram.
To convert, set this up using unit analysis like so:
![2.5kg(\frac{1000g}{1kg} )=2500g](https://tex.z-dn.net/?f=2.5kg%28%5Cfrac%7B1000g%7D%7B1kg%7D%20%29%3D2500g)
I chose to use a coefficient of 1 with the unit that has a prefix (kilograms), since this tends to make conversion easier. However, you could also set up the conversion as:
![2.5kg(\frac{1g}{10^{-3} kg} )=2500g](https://tex.z-dn.net/?f=2.5kg%28%5Cfrac%7B1g%7D%7B10%5E%7B-3%7D%20kg%7D%20%29%3D2500g)
In either case, you are trying to cancel kg, therefore units in kg must be in the denominator as shown.
<h3>Answer:</h3>
2,500 grams
Answer:
x=16
Step-by-step explanation:
6= x/4 + 2
Subtract 2 from both sides.
4= x/4
Multiply 4 to both sides.
x=16
Hope this helps!
(a) Given that the angle must be coterminal with this other angle:
![-58\text{\degree}](https://tex.z-dn.net/?f=-58%5Ctext%7B%5Cdegree%7D)
By definition, Coterminal Angles have the same initial side and they also have the same terminal side.
In this case, knowing that the angle must be between these angles:
![0\text{\degree and }360\text{\degree}](https://tex.z-dn.net/?f=0%5Ctext%7B%5Cdegree%20%20and%20%20%7D360%5Ctext%7B%5Cdegree%7D)
You can find it by adding 360 degrees to the given angle:
![-58\text{\degree}+360\text{\degree}=302\text{\degree}](https://tex.z-dn.net/?f=-58%5Ctext%7B%5Cdegree%7D%2B360%5Ctext%7B%5Cdegree%7D%3D302%5Ctext%7B%5Cdegree%7D)
(b) Given the angle:
![\frac{16\pi}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B16%5Cpi%7D%7B3%7D)
You know that the coterminal angle must be between:
![0\text{ and }2\pi](https://tex.z-dn.net/?f=0%5Ctext%7B%20%20and%20%7D2%5Cpi)
Therefore, you can find it as follows:
![\frac{16\pi}{3}-2\pi=\frac{16\pi-(3)(2\pi)}{3}=\frac{10\pi}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B16%5Cpi%7D%7B3%7D-2%5Cpi%3D%5Cfrac%7B16%5Cpi-%283%29%282%5Cpi%29%7D%7B3%7D%3D%5Cfrac%7B10%5Cpi%7D%7B3%7D)
Hence, the answers are:
(a)
![302\text{\degree}](https://tex.z-dn.net/?f=302%5Ctext%7B%5Cdegree%7D)
(b)
Answer: 75 students
Step-by-step explanation:
15% of 500= 75