Answer:
Colleen alone to clear the yard of leaves in 40 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone
To find - When c is the number of minutes it would take Colleen to finish the job when working alone, the situation is modeled by this rational equation: How long would it take Colleen alone to clear the yard of leaves?
Proof -
Given that the equation is -
![\frac{1}{c} + \frac{1}{c+20} = \frac{1}{24} \\\frac{c + 20 + c}{c(c+20)} = \frac{1}{24}\\\frac{2c + 20}{c^{2} +20c} = \frac{1}{24}\\24(2c + 20) = c^{2} +20c\\48c + 480 = c^{2} +20c\\28c + 480 = c^{2}\\c^{2} - 28c - 480 = 0\\c^{2} - 40c + 12c - 480 = 0\\c(c - 40) + 12(c - 40) = 0\\(c+12)(c-40) = 0\\c = -12, 40](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bc%7D%20%2B%20%5Cfrac%7B1%7D%7Bc%2B20%7D%20%20%3D%20%5Cfrac%7B1%7D%7B24%7D%20%5C%5C%5Cfrac%7Bc%20%2B%2020%20%2B%20c%7D%7Bc%28c%2B20%29%7D%20%3D%20%5Cfrac%7B1%7D%7B24%7D%5C%5C%5Cfrac%7B2c%20%2B%2020%7D%7Bc%5E%7B2%7D%20%2B20c%7D%20%3D%20%5Cfrac%7B1%7D%7B24%7D%5C%5C24%282c%20%2B%2020%29%20%3D%20c%5E%7B2%7D%20%2B20c%5C%5C48c%20%2B%20480%20%3D%20c%5E%7B2%7D%20%2B20c%5C%5C28c%20%2B%20480%20%3D%20c%5E%7B2%7D%5C%5Cc%5E%7B2%7D%20-%2028c%20-%20480%20%3D%200%5C%5Cc%5E%7B2%7D%20-%2040c%20%2B%2012c%20-%20480%20%3D%200%5C%5Cc%28c%20-%2040%29%20%2B%2012%28c%20-%2040%29%20%3D%200%5C%5C%28c%2B12%29%28c-40%29%20%3D%200%5C%5Cc%20%3D%20-12%2C%2040)
As time can not be negative
So,
we get
c = 40 minutes
∴ we get
Colleen alone to clear the yard of leaves in 40 minutes
170,000. Hope this is right. Have a blessed day
Answer:
9572 visitors
Step-by-step explanation:
This is exponential: y=ab![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
a = initial value
b = growth rate
It will grow by 5% each year but also keep the same amount as last year (100% of last year's visitors)
a = 7500
b = 1.05
![y = 7500(1.05)^x](https://tex.z-dn.net/?f=y%20%3D%207500%281.05%29%5Ex)
Plug in x=5
9572.111719 = 9572 visitors
Answer:
6ft = 384 10ft= 640 14ft = 896
Step-by-step explanation:
Divide 192 by 3. Then, multiply the result by 6, 10, and 14 to get your answer.
uwu hope this helps
it may not tho lol