Answer:
168 minutes
Step-by-step explanation:
It takes 120 minutes for the first person to clean the jellyfish tank.
This means that in 1 minute the first person cleans ![\[\frac{1}{120}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B120%7D%5C%5D%20)
of the tank.
Let the time taken by the second person working alone to clean the tank be x minutes.
Then in 1 minute the second person cleans ![\[\frac{1}{x}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7Bx%7D%5C%5D%20)
of the tank.
Working together, the two persons clean,
![\[\frac{1}{120} + \frac{1}{x}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B120%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%7D%5C%5D%20)
of the tank
But it is given that the two persons working together can clean the tank in 70 minutes. This means that in 1 minute both of them can clean ![\[\frac{1}{70}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B70%7D%5C%5D%20)
of the tank.
Expressing in equation form:
![\[\frac{1}{120} + \frac{1}{x} = \frac{1}{70}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B120%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%5C%5D%20)
![\[=> \frac{1}{x} = \frac{1}{70} - \frac{1}{120} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%20-%20%5Cfrac%7B1%7D%7B120%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{12-7}{840} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B12-7%7D%7B840%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{5}{840} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B5%7D%7B840%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{1}{168} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B168%7D%20%5C%5D%20)
![\[=> x = 168 \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20x%20%3D%20168%20%5C%5D%20)
This means that the second person can clean the tank in 168 minutes.
Answer:
Total assets = $312000
Step-by-step explanation:
Initial capital of the company = $143000
Drawings = $96000
Revenue = $467000
Expenses = $301000
Now to find the current capital or equity of the company :
Equity = initial capital + Revenue - Drawings - Expenses
= 143000 + 467000 - 96000 - 301000
= $213000
Now, liabilities = $99000
And the total assets of the company is given by :
Total Assets = Liabilities + equity of the company
⇒ Total assets = 99000 + 213000
⇒ Total assets = $312000
Hence, Total assets of the Cullumber company = $312000
Answer:
29
Just replace n by 8 ===> C(8) = -6+5(8-1) = - 6 + 5x7 = -6+35 = 29
Step-by-step explanation:
We have been given a sequence formula. We are asked to find the 8th term of our given sequence.
We know that an arithmetic sequence is in form A_n=a_1+(n-1)d, where,
A_n=\text{ nth term of sequence},
A_1=\text{ 1st term of sequence},
n = Number of terms in sequence,
d = Common difference.
To find the 8th term of our given sequence, we will substitute n=8 in our given formula.
c(n)=-6+5(n-1)
c(8)=-6+5(8-1)
c(8)=-6+5(7)
c(8)=-6+35
Answer:
4200
Step-by-step explanation:
Just add them all together
Hope this is the answer you were looking for
Having obtained:
the next thing to do is collect the first three terms and write them as the square of a binomial, and also collect the last two terms, writing each of them with a denominator equal to 4a^2
We have:
.
Then, we take
to the right side and write these two terms as one:
.
Next, we take the square root of both sides, which has been shown in the solution.
Next, we have to take b/2a to the right hand side as -(b/2a), and removing the square in the denominator of the right hand side expression:
.
Answer: the steps to complete in the boxes are :
.
.
.
