The options can be rewrited as follow:
A. 5<4
B. 5<5
C. 5<4
D. 4<-5
∴ Answer is none of the above.
Unless perhaps you have written down the question incorrectly.
Using the together rate, it is found that the time it would take the second pump, working alone, to fill the tank is:
B. 90 minutes
The <em>together rate</em> is the <u>sum of each separate rate</u>.
In this problem:
- The together rate is of 1/60.
- The first rate is of 1/150.
- The second rate is of 1/x.
Then:
![\frac{1}{150} + \frac{1}{x} = \frac{1}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B150%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B60%7D)
![\frac{x + 150}{150x} = \frac{1}{60}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%20150%7D%7B150x%7D%20%3D%20%5Cfrac%7B1%7D%7B60%7D)
Applying cross multiplication:
![150x = 50x + 9000](https://tex.z-dn.net/?f=150x%20%3D%2050x%20%2B%209000)
![100x = 9000](https://tex.z-dn.net/?f=100x%20%3D%209000)
![x = \frac{9000}{100}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B9000%7D%7B100%7D)
![x = 90](https://tex.z-dn.net/?f=x%20%3D%2090)
Hence, it would take 90 minutes for the second pump, working alone, to fill the tank.
A similar problem is given at brainly.com/question/25159431
Answer:
Exponential growth
Step-by-step explanation:
The base of the exponential term is 1.12, a number greater than 1. That means each increment of x causes the value to be multiplied by 1.12, resulting in a value larger than before. This is growth.
The equation represents exponential growth.
Answer: chicken $8, duck $5
Explanation:
x - the cost of a chicken
y - the cost of a duck
he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5