Answer:
see below
Step-by-step explanation:
amount of water w
l liter of pure alcohol = 100% alcohol
solution is 45 % percent alcohol
total amount of fluid is w+l
(w+l)( .45) = l*.100
Distribute
.45w + .45 l = 1l
.45 w = 1l - .45l
.45 w = .55l
w = .55l / .45
w =11/9 l
<u>Answer:</u>
The coordinates of endpoint V is (7,-27)
<u>Solution:</u>
Given that the midpoint of line segment UV is (5,-11) And U is (3,5).
To find the coordinates of V.
The formula for mid-point of a line segment is as follows,
Midpoint of UV is
, ![\frac{y_{1}+y_{2}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D)
As per the formula,
=5,
=-11
Here ![x_{1}=3; y_{1}=5](https://tex.z-dn.net/?f=x_%7B1%7D%3D3%3B%20y_%7B1%7D%3D5)
Substituting the value of
we get,
=5
![3+x_{2}=5\times2](https://tex.z-dn.net/?f=3%2Bx_%7B2%7D%3D5%5Ctimes2)
![x_{2}=10-3](https://tex.z-dn.net/?f=x_%7B2%7D%3D10-3)
![x_{2}=7](https://tex.z-dn.net/?f=x_%7B2%7D%3D7)
Substituting the value of
we get,
=-11
![5+y_{2}=-11\times2](https://tex.z-dn.net/?f=5%2By_%7B2%7D%3D-11%5Ctimes2)
![y_{2}=-22-5](https://tex.z-dn.net/?f=y_%7B2%7D%3D-22-5)
![y_{2}=-27](https://tex.z-dn.net/?f=y_%7B2%7D%3D-27)
So, the coordinates of V is (7,-27)
Answer:
x = 8
Step-by-step explanation:
Each side of the triangle on the left is divided by 3 to get the side of the triangle on the right.
We can find this by doing 18 ÷ 6 = 3
Then, knowing this, we do 24 ÷ 3 to get 8
I hope that helps!! :)
Answer:
7/7 = 1
Step-by-step explanation:
1/7 is one out of seven part plus 6/7 which is 6 out of seven parts. The denominator does not need to change because it is a common denominator. Just simply add the numerators, 1 and 6 and you get 7. The numerator is divided by the denominator (7/7) which equals to 1.