My guess would be b. 5 1/3
Answer:
The frame will be 4 inches in width
Step-by-step explanation:
The length of the outside is 24+2x
The width of the outside is 20+2x
(24+2x)(20+2x) - 20(24) = 416
480 + 40x + 48x + 4x2 - 480 = 416
4x2 + 88x - 416 = 0
x2 + 22x - 104 = 0
(x+26)(x-4) = 0
x = -26 or x=4
The frame will be 4 inches in width
Answer:
![\[\frac{1}{40}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B40%7D%5C%5D)
Step-by-step explanation:
The animal cage contains 5 black cats and 8 white cats.
So the probability of 1 out of 5 black cats escaping can be expressed as ![\[\frac{1}{5}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B5%7D%5C%5D)
The probability of 1 out of 8 white cats escaping can be expressed as ![\[\frac{1}{8}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B8%7D%5C%5D)
The combined probability of 1 black cat and 1 white cat escaping can be expressed as a product of the above two probabilities.
In other words, the combined probability is ![\[\frac{1}{5} * \frac{1}{8}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B5%7D%20%2A%20%5Cfrac%7B1%7D%7B8%7D%5C%5D)
![\[= \frac{1}{40}\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%5Cfrac%7B1%7D%7B40%7D%5C%5D)