A copy machine makes 36 copies per minute. How many copies does it make in four minutes and 45 seconds?
1 answer:
Answer: The copy machine makes 171 copies in 4 minutes and 45 seconds.
Step-by-step explanation:
Let's dissect the question. The copy machine makes 36 copies per minute.
36 per min.
To see how many copies it makes in 4 minutes and 45 seconds, we multiply 36 * 4.75. 45 seconds is 3/4ths of a minute, or 0.75 of a minute.
It makes 171 copies in 4 minutes and 45 seconds.
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Point D(0,-2) is a solution of the system of inequalities
Step-by-step explanation:
In order to check if the points are solution of the system of inequalities, we just need to plug the numbers into the inequalities and see if they are verified.
The two inequalities are:
The first point is:
A (1,0), so x = 1 and y = 0
Substituting into the two equations:
We see that the 2nd equation is not verified, so this point is NOT a solution.
The second point is:
B (2,4), so x = 2 and y = 4
Substituting into the two equations:
None of the two equations is verified, so this point is NOT a solution.
The 3rd point is:
C (-1,2), so x = -1 and y = 2
Substituting into the two equations:
We see that the 1st equation is not verified, so this point is NOT a solution.
The 4th point is:
D (0,-2), so x = 0 and y = -2
Substituting into the two equations:
Both equations are verified, so this point IS a solution.
Learn more about systems of equations:
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