salvadorperez26
04.03.2021 •
Mathematics
What is 75% of 162? Show your work and/or explain your reasoning.
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Ответ:
121.5
Step-by-step explanation:
75% = 75/100
Step 2 - Mutiply percenatge fraction by the entire (100%) quantity
75/100× 162 = 121.5
Final result
75 percent of 162 is 121.5
Ответ:
The solutions are , and
Step-by-step explanation:
We have a system which is formed by the following equations :
A solution to this system is a pair (x,y) that satisfies both equations.
In order to solve this exercise, we need to take each pair (x,y) and replace it in both equations. If the pair checks both equations therefore the pair (x,y) is a solution of the system.
The first pair is
If we replace it in both equations :
and also
⇒
The pair (-1,5) satisfies both equations ⇒ It is a solution for the system.
The next pair is
Replacing :
⇒
We find that it does not satisfy the first equation and therefore it can not be a possible solution to the system.
Now with
Replacing in the equations of the system :
⇒
This pair satisfies both equations ⇒ The pair is a solution of the system.
Now with
If we replace in the equations of the system :
⇒
This pair satisfies the first equation but it does not satisfy the second one ⇒ It is not a solution of the system
The fifth pair is
Using the equations of the system :
and
⇒
This pair verifies both equations ⇒ The pair is a solution of the system.
The final pair
Replacing in the equations
⇒
This inequality is wrong. Therefore the pair it is not a solution of the system.
We conclude that the pairs , and are solutions of the system above.