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
(Correct me if I’m wrong in comments)
Answer: 80
Reasoning: A polyhedron can have 30 edges. If this polyhedron has 120 it has 4 times the “other” one. If it has 30 edges it will have 20 vertices, meaning 20*4=80 vertices
Answer:
acres per hour
Step-by-step explanation:
Darcy harvests
acres of corn every
of an hour.
So,
acres -
of an hour
acres - 1 hour
Write a proportion:
![\dfrac{8\frac{3}{4}}{x}=\dfrac{\frac{5}{6}}{1}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%5Cfrac%7B3%7D%7B4%7D%7D%7Bx%7D%3D%5Cdfrac%7B%5Cfrac%7B5%7D%7B6%7D%7D%7B1%7D)
Cross multiply:
![\dfrac{5}{6}x=8\dfrac{3}{4}\\ \\\dfrac{5}{6}x=\dfrac{35}{4}\\ \\x=\dfrac{35}{4}\cdot \dfrac{6}{5}\\ \\x=\dfrac{7}{2}\cdot \dfrac{3}{1}\\ \\x=\dfrac{21}{2}\\ \\x=10\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B6%7Dx%3D8%5Cdfrac%7B3%7D%7B4%7D%5C%5C%20%5C%5C%5Cdfrac%7B5%7D%7B6%7Dx%3D%5Cdfrac%7B35%7D%7B4%7D%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B35%7D%7B4%7D%5Ccdot%20%5Cdfrac%7B6%7D%7B5%7D%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B7%7D%7B2%7D%5Ccdot%20%5Cdfrac%7B3%7D%7B1%7D%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B21%7D%7B2%7D%5C%5C%20%5C%5Cx%3D10%5Cdfrac%7B1%7D%7B2%7D)
Answer:
It's 2 7/20 and 2 35/100
Step-by-step explanation:
The 2nd and 4th one because they both convert to 2 35/100
Answer:50
Step-by-step explanation:
Plug 7 in for x
Multiply 9 by 7
Solve like normal equation