Answer:
w = (p - 21)/2
Step-by-step explanation:
Rearrange the equation so that it is equal to w.
p = 21 + 2w
p - 21 = (21 + 2w) - 21
p - 21 = 2w
(p - 21)/2 = (2w)/2
(p - 21)/2 = w
w = (p - 21)/2
"He starts both trains at the same time. Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds". Basically, what you need to do is find the least common multiple. The least common multiple of 12 and 9 is 36, so the least amount of time, in seconds, that both trains will arrive at the starting points at the same time is 36 seconds.
Y-0=-3(x-1)
*distribute -3*
y=-3x+3
Answer:
44 km
Step-by-step explanation:
8/5 is the conversion between m and km which is 1.6 and then we can simply multiply 27.5 times 1.6 which is 44 km I hope this helps.
Let the unknown be x
![\sqrt{3} = 27^x](https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%2027%5Ex%20)
![3^\frac{1}{2} = 3^{3x}](https://tex.z-dn.net/?f=%203%5E%5Cfrac%7B1%7D%7B2%7D%20%20%3D%203%5E%7B3x%7D%20%20)
Both the base number are 3, so we equate the exponent:
![\dfrac{1}{2} = 3x](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%7D%7B2%7D%20%20%3D%203x%20)
![x = \dfrac{1}{2} \div 3](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%20%20%5Cdiv%203%20)
![x = \dfrac{1}{2} \times \dfrac{1}{3}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%20%20)
![x = \dfrac{1}{6}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B1%7D%7B6%7D%20)
Answer: 1/6