Answer:
Step-by-step explanation:
You have 52 cards in a deck and 13 cards of each suit.
The probability of picking a diamond in a complete deck of cards is:
Or the probability is 13 put of 52.
Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:
If we simplify it you will have a probability of:
Answer:
Step-by-step explanation:
We have been given that the Rumpart family is building a new room onto their house. The width of the new room will be 16 feet.
The length of the room will be 4% greater than the width. This means that length of new room will be 16 feet plus 4% of 16.
Therefore, the expression represents the length of new room and the length of new room is 16.64 feet.
Since we know that area of a rectangular shape is width times length.
Therefore, the area of the new room will be 266.24 square feet.
Answer:
-10
Step-by-step explanation:
You are asked to tell the y-value of the solution. You can find the whole solution and then report the y-value, or you can just find the y part of the solution. We choose the latter.
This is basically done by eliminating the x-variable. It can be done using the "elimination" method of solving these equations. And it can also be done using the "substitution" method of solving these equations. We choose the latter.
Add 14 to the second equation to solve for x:
... x = y + 14
Substitute this into the first equation.
... 3(y +14) -y = 22
... 2y +42 = 22 . . . . . . simplify
... y +21 = 11 . . . . . . . . divide by 2
... y = -10 . . . . . . . . . . subtract 21
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<em>Comment on additional solution methods</em>
A graphing calculator can show you the solution, as in the attachment. Of the solution (x, y) = (4, -10), we are only interested in y = -10.
Cramer's rule can find just one variable value, too. For that, it is convenient to write the system as ...
Then the solution for y is ...
... y = (22·1 -14·3)/(-1·1 -(-1)·3) = -20/2 = -10
