Answer:
D
Step-by-step explanation:
1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000
Answer:
Tyler should buy 2 goldfishes for his fish tank,
Step-by-step explanation:
First let's find the volume of the sphere, using the following equation:
![Volume = (4/3) * \pi * radius^3](https://tex.z-dn.net/?f=Volume%20%3D%20%284%2F3%29%20%2A%20%5Cpi%20%2A%20radius%5E3)
The radius is half the diameter, so the radius is 14/2 = 7 inches
Now, finding the volume, we have:
![Volume = (4/3) * \pi * 7^3](https://tex.z-dn.net/?f=Volume%20%3D%20%284%2F3%29%20%2A%20%5Cpi%20%2A%207%5E3)
![Volume = 1436.75\ in^3](https://tex.z-dn.net/?f=Volume%20%3D%201436.75%5C%20in%5E3)
Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):
![Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes](https://tex.z-dn.net/?f=Number%5C%20of%5C%20goldfishes%20%3D%201436.75%20%2F%20693%20%3D%202.07%20%3D%202%5C%20goldfishes)
Tyler should buy 2 goldfishes for his fish tank,
Answer:
7x - 7
Step-by-step explanation:
Variable: X = the unknown number
2x + (-7) + 5x
= 7x - 7
The fraction 5/6 is in simplest form because it cannot be broken down anymore.
If you can please give me the brainliest award!