Answer:
If we have a set of N elements:
{x₁, x₂, ..., xₙ}
The mean value (also called the average value) Is calculated as:
Average = (x₁ + x₂ + ... + xₙ)/n
So if x is the average of 13, -16 and 6 ( a total of 3 values)
x will be equal to:
x = (13 + (-16) + 6)/3 = (19 - 16)/3 = 3/3 = 1
x = 1
And we know that:
y = ∛8
Remember that:
2*2 = 4
and
4*2 = 8
then
2*2*2 = 2^3 = 8
then ∛8 = 2.
So we have:
y = ∛8 = 2
Now we can replace these values in the equation:
x^2 + y^3
replacing:
x = 1
y = 2
we get:
1^2 + 2^3 = 1 + 8 = 9
X/4-9=5
x/4=14
x=14/4
x=7/2
x=3.5
Answer:
Felipe = 23 messages
Keisha = 31 messages
Manuel = 46 messages
Step-by-step explanation:
Keisha = K
Felipe = F
Manuel = M
=> There are a total of 100 messages.
=> K sent 8 +F => K = 8 + F
=> M sent 2 * F => M = 2F
=> F = F
=> 8 + F + 2F + F = 100
=> 8 + 4F = 100
=> 8 - 8 +4F = 100 -8
=> 4F = 92
=> 4F/4 = 92/4
=> F = 23
So, Felipe = 23 messages.
Keisha = 8 + F = 8 + 23 = 31 messages.
Manuel = 2F = 2* 23 = 46 messages.
46 + 31 + 23 = 77 + 23 = 100 messages.
So, the answer is correct.
The correct answer for this question is this one: "<span>147"</span>
Here's how to solve this problem.
Let <span>x = number of mystery books on the shelf </span>
<span>Let 3x = total number of books on the shelf </span>
<span>we are told that </span>
<span>x/5<10<x/4 </span>
<span>multiply by 20, </span>
<span>4x<200<5x </span>
<span>which means that </span>
<span>40<x<50 </span>
<span>So the number of mystery books can be any number between 41 and 49.
In other words, the possible total number of books could be three times the above numbers, 123, 126, 129,.... </span>
Choose the one that suits your answer choices.
Here are the following choices:
Which could be the number of books on the shelf?
A. 120 B 140 c 147 D 150
Answer:
The answer is D(20)
Step-by-step explanation:
I don't know the exact algebraic explanation, however, this is how I did it.

If you divide the second equation into seperate twos, you will get 2*2*2*2*2*2 = 
Therefore,
meaning that x is equal to 6. Now The next bit is trial and error, 20-6=14. 
Last thing to do is to add x+y=6+14. That is why the answer is 20.
If you wait a bit longer, someone will probably have a more algebraic explanation, however, you stated you only needed the answer so I hope this helped.