Answer:
Step-by-step explanation:
51 / 13 = 3.9231 = 3
51 - (13 x 3) = 12
Hello.
The Manager has concluded that 2 out of 25 light bulbs are faulty.The table he created represents the ratio of bulbs checked and which ones were found faulty.
A way that he could verify that the table is correct is by simplifying each ratio. If each of them turn out to 2:25, then the conclusion is correct.
The best answer that matches this is answer choice "C.)" as it also defines our method of verifying the table's validity (just the order of the ratio is reversed, and that's fine as long as the variables are matching as well). We can further prove that this answer is correct by making ratios of our table and simplifying them;
100:8; divide both sides by 4.
25:2
500:40; divide both sides by 20.
25:2
2,000:160; divide both sides by 80.
25:2
This ratio is always the simplified answer.
Your answer is: "C.)"
I hope this helps!
2/1
Step-by-step explanation:
_1/3y=_1
y=_1+3/1
y=2/1
Answer:
The other solution is 12.
Step-by-step explanation:
Break the solution into groups: (x^2+2x)+(-12x-24)
Factor out the x^2 from the first group to get x(x+2)
Factor out the -12 out of the second group to get -12(x-12)
Here we get (x-12)(x+2)
You can see solutions are -2 and 12.
Answer: 
You can write this as (-infinity, 7) if you aren't able to use the infinity symbol.
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Explanation:
Think of x < 7 as writing 
So x is between negative infinity and 7, excluding both endpoints.
To write in interval notation, we write
The curved parenthesis tell us to exclude the endpoint.
