Answer:
4.6
Step-by-step explanation:
Hello!
To find the average we add all the numbers together and divide by how many numbers we added
6.8 + 5.6 + 3.4 + 2.5 + 4.7 = 23
We added 5 numbers so divide the total by 5
23/5 = 4.6
The answer is 4.6
Hope this helps!
Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
Answer:
Carla earned $32 in commission.
Step-by-step explanation:
Multiply 400 by .08 (or 8/100) to get your answer.
Answer:
a) at x=0.5 y=2 and at x=1 y=2 this similarity in values shows that the solution for x is between 0.5 and 1
c) The x solution will be between x=0.0 and x=0.7 .
There is a similarity in values of y at x=0.6, y=2.4 and at x=0.7 , y=2.4
d) For x= (0.6+0.7)/2 = 1.3/2 =0.65
For y= (2.4+2.3)/2 =4.7/2=2.35
Approximate solution is (0.65, 2.35)
