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:
The slope of the line passing through the given points (-2,-7) and (9,-7) is m=0
Step-by-step explanation:
Given that the line passing through the points (-2,-7) and (9,-7)
To find the slope of the line passing through the points :
Let 
and 
be the given points (-2,-7) and (9,-7) respectively
Substitute the points in the formula
Therefore m=0
Therefore Slope m is 0
Therefore the slope of the line passing through the given points (-2,-7) and (9,-7) is m=0
Answer:
the largest possible value of x is 21
Step-by-step explanation:
39/x =3
3x =39
x=39/3
x= 13
51/x =3
3x =51
x= 51/3
x= 17
63/x =3
3x= 63
x= 63/3
x= 21
Answer:
angle S 100 option C
Step-by-step explanation:
P and S are consecutive angles
Interior angles of a parallelogram
1. Opposite angles are congruent
2. Consecutive angles are supplementary (They add to 180 )
(2x+20) + (3x+10) = 180
5x+30 = 180
5x = 150
x= 30
angle S 3x30 +10 =
90 +10 = 100
The other angle P 2x30 +20 = 60 +20 = 80
100 +80 = 180
Answer:
Hello,
I am not sure if you are still having an issue with this problem but for future reference for you or anyone else the answer is
d. Each vertical line drawn through the graph will intersect a function in only one location.
I thought of it this way:
"Each vertical line" which tells me only one line per "one location" now I could be completely off but this was just my logic and it helped me personally.
