Theorem is the correct answer
Answer:
12,345 tablets may be prepared from 1 kg of aspirin.
Step-by-step explanation:
The problem states that low-strength children’s/adult chewable aspirin tablets contains 81 mg of aspirin per tablet. And asks how many tablets may be prepared from 1 kg of aspirin.
Since the problem measures the weight of a tablet in kg, the first step is the conversion of 81mg to kg.
Each kg has 1,000,000mg. So
1kg - 1,000,000mg
xkg - 81mg.
1,000,000x = 81
![x = \frac{81}{1,000,000}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B81%7D%7B1%2C000%2C000%7D)
x = 0.000081kg
Each tablet generally contains 0.000081kg of aspirin. How many such tablets may be prepared from 1 kg of aspirin?
1 tablet - 0.000081kg
x tablets - 1kg
0.000081x = 1
![x = \frac{1}{0.000081}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B0.000081%7D)
x = 12,345 tablets
12,345 tablets may be prepared from 1 kg of aspirin.
Answer:
4
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
![{9}^{6} = {x}^{3} \times {9}^{3}](https://tex.z-dn.net/?f=%20%7B9%7D%5E%7B6%7D%20%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%5Ctimes%20%20%7B9%7D%5E%7B3%7D%20)
![{9}^{6} = 729 {x}^{3}](https://tex.z-dn.net/?f=%20%7B9%7D%5E%7B6%7D%20%20%3D%20729%20%7Bx%7D%5E%7B3%7D%20)
![{x}^{3} = \frac{ {9}^{6} }{ {9}^{3} }](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20%3D%20%20%5Cfrac%7B%20%7B9%7D%5E%7B6%7D%20%7D%7B%20%7B9%7D%5E%7B3%7D%20%7D%20)
![{x}^{3} = {9}^{3}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20%3D%20%20%7B9%7D%5E%7B3%7D%20)
![{x}^{3} = 729](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20%3D%20729)
![\boxed{\green{x = 9}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cgreen%7Bx%20%3D%209%7D%7D)