Answer:
21 more mugs were brought this year than last year.
Step-by-step explanation:
We can solve by subtracting the initial amount of mugs from the final amount of mugs.
To find the amount of mugs hung up this year, we will use the equation: m = 12w where m = the number of mugs & w = the number of wooden hangers. The 12 represents the amount of mugs per wooden hanger.
We can plug in 3 for w since 3 wooden hangers were filled up and we would get 12(3) = m = 36 mugs
Now we subtract last year's total mugs hung up from this year's total mugs hung up.
We end up with 36 - 15 = 21
Answer:
4 : 12 : 15
Step-by-step explanation:
S : J = 1 : 3
J : P= 4 : 5
Using John's ratio to find a common ratio for all
S : J
(1 : 3)4 = 4 : 12
J : P
(4 : 5)3 = 12 : 15
Therefore our ratio is
S : J : P
4 : 12 : 15
Answer:
4=x
Step-by-step explanation:
y=-x+4
y=2x-8
-x+4=2x-8
+x +x
4=3x-8
+8 +8
12=3x
/3 /3
4=x
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Given the rate at which water enter the pool W(t). To calculate the amount of water that has entered the pool over these five minutes, we integrate W(t) over the interval t = 0 to t = 5.
![Amount\ of \ water=\int\limits^0_5 {W(t)} \, dt \\\\\\Amount\ of \ water=\int\limits^0_5 {(1+3t)} \, dt \\\\\\Amount\ of \ water=[t+1.5t^2]_0^5\\\\\\Amount\ of \ water=42.5\ gallons](https://tex.z-dn.net/?f=Amount%5C%20of%20%5C%20water%3D%5Cint%5Climits%5E0_5%20%7BW%28t%29%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D%5Cint%5Climits%5E0_5%20%7B%281%2B3t%29%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D%5Bt%2B1.5t%5E2%5D_0%5E5%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D42.5%5C%20gallons)
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Find out more on integration at: brainly.com/question/23976638
Add 1/4 and 2/3 and then 3 and your answer wll be 28 3/4