Answer: $134.40
Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.
Answer:
S={(heart), (diamond), (club), (spade)}
Step-by-step explanation:
In probability, a set is a well-defined collection of objects, product of an independent successful operation.
A sample space is the combination of all possible outcomes in an operation, so in this case, when we select one card and record the denomination, then we need to check what characteristic from the card are we looking for, from the problem we can see that is the denomination by itself, not the color, the number of the card, or anything else, and we only have 4 options of denomination so the sample space would be:
S={(heart), (diamond), (club), (spade)}
Credit to this answer goes to @ibranoguera
Hope this helps :))
Answer: The required solution is (x, y) = (5, -2).
Step-by-step explanation: We are given to solve the following system of equations :
![2x+5y=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x-4y=23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)](https://tex.z-dn.net/?f=2x%2B5y%3D0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28i%29%5C%5C%5C%5C3x-4y%3D23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28ii%29)
From equation (i), we have
![2x+5y=0\\\\\Rightarrow 2x=-5y\\\\\Rightarrow x=-\dfrac{5}{2}y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)](https://tex.z-dn.net/?f=2x%2B5y%3D0%5C%5C%5C%5C%5CRightarrow%202x%3D-5y%5C%5C%5C%5C%5CRightarrow%20x%3D-%5Cdfrac%7B5%7D%7B2%7Dy~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28iii%29)
Substituting the value of x from equation (iii) in equation (ii), we get
![3\times\left(-\dfrac{5}{2}y\right)-4y=23\\\\\\\Rightarrow -15y-8y=46\\\\\Rightarrow -23y=46\\\\\Rightarrow y=-\dfrac{46}{23}\\\\\Rightarrow y=-2.](https://tex.z-dn.net/?f=3%5Ctimes%5Cleft%28-%5Cdfrac%7B5%7D%7B2%7Dy%5Cright%29-4y%3D23%5C%5C%5C%5C%5C%5C%5CRightarrow%20-15y-8y%3D46%5C%5C%5C%5C%5CRightarrow%20-23y%3D46%5C%5C%5C%5C%5CRightarrow%20y%3D-%5Cdfrac%7B46%7D%7B23%7D%5C%5C%5C%5C%5CRightarrow%20y%3D-2.)
From equation (iii), we get
![x=-\dfrac{5}{2}\times(-2)=5.](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B5%7D%7B2%7D%5Ctimes%28-2%29%3D5.)
Thus, the required solution is (x, y) = (5, -2).
Mrs. Gomez drank 1.4L of water.
Mr. Bright drank 9.3 times Mrs. Gomez, who drank 1.4L.
Multiply 1.4 by 9.3 and you'll get 13.02.
Mr. Bright drank 13.02L of water.