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.
Answer:
See Explanation
Step-by-step explanation:
Given
Base Dimension


Required
The base area of all containers
First, calculate the base area of 1 container.
This is calculated as:


Express as improper fraction

So, we have:


The number of containers is not given. So, I will use 'n' as the number of containers.
So, we have:


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Assume n is 3 (i.e. 3 containers)
The total area is:



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Answer:
33 and 34
Step-by-step explanation:
Let the integers be x and x+1 respectively.
4x = 3(x+1) + 30
x = 33
therefore, the integers are 33 and 34
This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
We are given the following variables:
p = probability of success / probability to shoot a free throw shot = 0.74
q = probability of failure = 1 – p = 0.26
n = number of samples / number of free throws = 8
We can solve for the average free throws he or she can make in the game using the formula:
average = n * p
average = 8 * 0.74
average = 5.92
round off:
average = 6 free throw shots
We can solve for the variance using the formula:
variance = n * p * q
variance = 8 * 0.74 * 0.26
variance = 1.5392
round off:
variance = 1.54 free throw shots
Step-by-step explanation: