Answer: It is consistent as the lines are intersecting lines and it has a unique solution
Step-by-step explanation:
Since we have given two systems of equation :
We need to check whether the system of equations is consistent or inconsistent.
As we know the formula for checking the consistency :
In first equation we have
similarly,
In the second equation we have
So, According to question, we have
Hence, it is consistent as the lines are intersecting lines and it has a unique solution.
It’s 14n-44 (n2 and 7n have the same letter so you multiply 2 by 7 then keep the n.)
<h3>
Answer: Choice A</h3>
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Explanation:
The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.
We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.
This is enough to see that choice A is the final answer
Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.
If 5 cleaners took 4 hours and 30 min. to clean the whole rooms in a hotel and there's only 3 cleaners, it would take them 6 hours and 30 min. why? because 5 cleaners = 4 hours and 30 min. 4 cleaners = 5 hours ad 30 min. 3 cleaners = 6 hours and 30 min. Anyway so, if they were paid 8.20 for each hour you would multuply that so 8.20x6.5 = ?? and then you divide the answer to 3 and thats your answer
Question 13-18 & 22-27 will all be answered the same way, so i will walk you through question 13: (6,4) y=3x-2
(x,y)=(6,4)
now that we know the first number in the parenthesis is the x value and the second number in the parenthesis is the y value we can plug it into the equation. (x=6,y=4)
4=3x-2 (add two to each side)
4+2=3x
6=3x (divide 3 from each side)
x=2
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y=3(6)-2
y=18-2
y=16
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answer: (2,16)
now apply the same principles to the other problems!!! hope this helped!!!
