Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:
70 would have to be 70% of x.
To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:
70 • 100 = 7,000
Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:
7,000 divided by 70 gives us 100.
x = 100
Now, we can plug our answer in to see if it makes sense.
Does 70/100 represent 70%?
Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.
Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.
The last one. the mean is the average and the median is the middle point in the data set. the average is less than the middle point.
Answer:
y=14
Step-by-step explanation:
We are told that the legs of the isosceles trapezoid are AB and CD
AB = 7y - 4
CD = 8y - 18
In any isosceles trapezoid, the two legs are of equal length.
Therefore, AB = CD
⇒ 7y - 4 = 8y - 18
Add 18 to both sides of the equation
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
The given sequence is x-1, -2x+2, 4x-4, -8x+8 .
Notice that this is a geometric sequence because here we have equal common ratio.
So, common ratio : r = 
= 
= 
Take out -2 as common factor
= -2 Cancel out x - 1.
The formula for general term of a geometric sequence is,
Where, first term: 
We need to find the 10th term of this sequence. So, n = 10.
Next step is to plug in these values in the above formula to get the 10th term. Hence,
So, A is the correct choice.
