Answer:
9 gallons of water per minute
Step-by-step explanation:
First identify what you know:
1) The pipe was flowing water for eight minutes.
2) In that eight minutes, 72 gallons of water came out.
So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!
72/8 = 9
The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!
Hope this helps! :)
Answer:
c = 15d + 30
Step-by-step explanation:
Hey there!
This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).
The price for one day ($45) and the price for 4 days($90) are specific points on that line.
The points are (1, 45) and (4, 90).
We can first find the slope of the line:
- As the price rises 45, the days increase by 3
- Slope = rise/run
- Slope = 45/3
- Slope = 15
Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.
Solve for b:
- y = mx + b
- 45 = 15(1) + b
- 45 = 15 + b
- 30 = b
The base price (b) is 30.
The equation is ![\text{\boxed{c = 15d + 30}}](https://tex.z-dn.net/?f=%5Ctext%7B%5Cboxed%7Bc%20%3D%2015d%20%2B%2030%7D%7D)
Considering the volume of the rectangular prism, it is found that it's height is of 4.5 ft.
<h3>What is the volume of a rectangular prism?</h3>
The volume of a rectangular prism of length l, width w and height h is given by:
![V = lwh](https://tex.z-dn.net/?f=V%20%3D%20lwh)
In this problem, the measures given are as follows:
l = 13 ft, w = 16 ft, V = 936 ft³.
Hence, the height, in ft, is found as follows:
![V = lwh](https://tex.z-dn.net/?f=V%20%3D%20lwh)
![13 \times 16 \times h = 936](https://tex.z-dn.net/?f=13%20%5Ctimes%2016%20%5Ctimes%20h%20%3D%20936)
![h = \frac{936}{13 \times 16}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B936%7D%7B13%20%5Ctimes%2016%7D)
![h = 4.5](https://tex.z-dn.net/?f=h%20%3D%204.5)
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
Answer:
Median: 7.5
Mean: 8.6
Step-by-step explanation:
Median = the average of the 2 middle numbers of the set in ascending order, 6, 6, 6, <u>7, 8</u>, 10, 12, 14
(7+8)/2 = 2
Mean = the sum of the numbers divided by the number of values
6 + 6+ 6+ 7 +8 +10 +12 +14/8
69/8
8.625
Hello!
We have the following expression:
![2a\cdot a\cdot3a+b\cdot4b](https://tex.z-dn.net/?f=2a%5Ccdot%20a%5Ccdot3a%2Bb%5Ccdot4b)
Let's multiply and simplify it, look:
![6a^3+4b^2](https://tex.z-dn.net/?f=6a%5E3%2B4b%5E2)
We multiply a*a*a, so we can rewrite it as a³. The same with b*b as b².
So, the answer in the simplified form is:
6a³ + 4b²