Let the number of geese be x.
Then number of goats is 22-x.
A goose has 2 legs, and a goat has 4.
There are a total of 82 legs.
So,
2x + 4(22-x) = 82
2x + 88 - 4x = 82
-2x = -6
x = 3
There are 3 geese and (22-3=) 19 goats.
Please mark Brainliest if this helps and feel free to ask doubts!
Answer:
The coordinates of E are
.
Step-by-step explanation:
The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.
Vectorially speaking, dilation is defined by the following operation:
(1)
Where:
- Point of reference.
- Original point.
- Dilated point.
- Dilation factor.
By applying this operation, point B becomes point D:
, ![D(x,y) = (0,6)](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%280%2C6%29)
![D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20k%5Ccdot%20%5B%280%2C4%29-%20%280%2C0%29%5D)
![D(x,y) = (0,0) + k\cdot (0,4)](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20k%5Ccdot%20%280%2C4%29)
![(0,6) = (0,0) +(0,4\cdot k)](https://tex.z-dn.net/?f=%280%2C6%29%20%3D%20%280%2C0%29%20%2B%280%2C4%5Ccdot%20k%29)
![(0, 6) = (0,4\cdot k)](https://tex.z-dn.net/?f=%280%2C%206%29%20%3D%20%280%2C4%5Ccdot%20k%29)
![k = \frac{3}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
Lastly, we transform point C into point E by applying the same operation:
,
and ![k = \frac{3}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
![E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B3%7D%7B2%7D%5Ccdot%20%5B%283%2C0%29-%280%2C0%29%5D)
![E(x,y) = \left(\frac{9}{2}, 0 \right)](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%5Cleft%28%5Cfrac%7B9%7D%7B2%7D%2C%200%20%5Cright%29)
The coordinates of E are
.
To be honest I am not sure but maybe 32 because that is half or 96 but I was never really good with scales.
Answer:
It will take 6/13 hours to walk one mile
Step-by-step explanation:
Here, we want to calculate the number of hours it take to walk one mile
From the question, 1 1/2 miles take 3 1/4 hours
the number of hours it will take to walk 1 mile will be;
1 1/2 divided by 3 1/4
= 3/2 divided by 13/4
= 3/2 * 4/13 = 6/13 hours
![\frac{27}{125}](https://tex.z-dn.net/?f=%20%5Cfrac%7B27%7D%7B125%7D%20)
It is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).