Answer:
Nate made a mistake. He should have got 24 as Least common factor.
Step-by-step explanation:
Given number are 8 and 12.
To find the GCF or LCF we have to list multiples.
For LCF
- List the multiples of each number until at least one of the multiples appears on all lists.
- Find the smallest number that is on all of the lists.
- This number is the LCM.
For GCF
- List the multiples of each number until at least one of the multiples appears on all lists.
- Find the Biggest number that is on all of the lists.
- This number is the GCF
The least common multiple of 8 and 12 is 24.
The Greatest common multiply of 8 and 12 is 4.
Hence, Nate is wrong. Nate should have found 24.
[RevyBreeze]
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!
The point-slope form of the equation of the line is:
(y - y1) = m (x - x1)
So, (y + 2) = - 1/3 (x - 4) in the point-slope form is:
[y - (-2) ] = (-1/3) [ x - 4 ]
You must, then realize that the line passes through the point (4,-2) and its slope is - 1 /3.
That slope, -1 / 3, means that the function is decresing (because the slope is negative), and it decreases one unit when x increases 3 units.
Now you can fill in the blanks in this way:
Plot the point (4, -2), move 1 unit down, and 3 units over to find the next point on the line.
Percent change = (new number - old number)/(old number) * 100
percent change = (127 - 136)/(136) * 100
percent change = -6.62%
Since the percent change is negative it is a percent decrease.
Answer: 6.62% decrease.
L = 2 + .5W
2L + 2W = 40
SOLVING (if needed)
Substitute 2 + .5w in for l in the second equation and solve for w.
2(2 + .5w) + 2w = 40
4 + w + 2w = 40
Combine like terms and subtract 4 from both sides
3w = 36
Divide both sides by 3
w = 12 in.
l = 2 + .5w
l = 2 + .5(12)
l = 8 in.
