For the answer to the question above,
I'll show the solution for my answer just to give you clarity. It will look like this,
<span>(25+17 )- (9+21)
</span>
So the answer to your question is 12.
I hope my answer helped you. Have a nice day!
Answer:
12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Alright, lets get started.
We first assume that Alfonso's bicycling speed with no wind is = x miles per hour
With the wind, his speed will be =
miles per hour
Against the wind, his speed will be =
miles per hour
For traveling 54 miles with the wind, the time will be = ![\frac{54}{(x+4)}](https://tex.z-dn.net/?f=%5Cfrac%7B54%7D%7B%28x%2B4%29%7D)
For traveling 30 miles against the wind, the time will be = ![\frac{30}{(x-4)}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B%28x-4%29%7D)
Alfonso found that both the timings are same, so
![\frac{54}{(x+4)}=\frac{30}{(x-4)}](https://tex.z-dn.net/?f=%5Cfrac%7B54%7D%7B%28x%2B4%29%7D%3D%5Cfrac%7B30%7D%7B%28x-4%29%7D)
Cross multiplying
![54*(x-4) = 30 * (x+4)](https://tex.z-dn.net/?f=54%2A%28x-4%29%20%3D%2030%20%2A%20%28x%2B4%29)
![54x - 216 = 30x + 120](https://tex.z-dn.net/?f=54x%20-%20216%20%3D%2030x%20%2B%20120)
Solving for x
![54x - 30 x = 120 + 216](https://tex.z-dn.net/?f=54x%20-%2030%20x%20%3D%20120%20%2B%20216)
![24x = 336](https://tex.z-dn.net/?f=24x%20%3D%20336)
Dividing 24 in both sides
![x = 14](https://tex.z-dn.net/?f=x%20%3D%2014)
So, Alfonso's normal bicycling speed with no wind is 14 miles per hours. : Answer
Hope it will help :)
Answer:
Ducks = 8
Horses = 17
Step-by-step explanation:
From the question;
- Total number of animals = 25
- Total number of legs = 84 legs
We are required to determine the number of ducks and horses;
We need to know that;
A duck has two legs while a horse has four legs;
Assuming there were x ducks and y horses
Then;
x + y = 25 ................................Eqn 1
And;
2x + 4y = 84 .............................Eqn 2
Solving the two equations simultaneously we can get the number of each animal.
x + y = 25
2x + 4y = 84
Multiplying the first equation by 2, we get
2x + 2y = 50
2x + 4y = 84
Subtracting the two equations;
2x + 2y = 50
2x + 4y = 84
........................................................
- 2y = -34
y = 17
Solving for x
x = 25 -17
= 8
Therefore; there were 8 ducks and 17 horses in the field