Hello
All square numbers ends with 0,1,4,5,6 or 9 at units place.
P=2(l+w)
190=2[(2l+5)+l)
190=4l+10+2l
190=6l+10
180=6l
l=30
190=2(30+w)
190=60+2w
130=2w
w=65
The width of the rectangle is 65.
Based on the given summation notation, the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n
<h3>How to determine the summation expression?</h3>
The expression is given as:
43Σn=1(3+9n)
As a general rule, if a summation notation is represented using the following expression
Σ(a + bn)
The equivalent expression of the above summation notation is
Σa + bn
Where the variable a is a constant in the expression
This means that:
Σ(a + bn) = Σa + bn
Using the above equation as a guide, we have the following equivalent equation
43 Σ n=1 (3+9n) = 43 Σ n=1 3 + 43 Σ n=1 9n
Hence, based on the given summation notation; the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n
Read more about summation notation at:
brainly.com/question/16599038
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Answer:
total of the data points = 1200
Step-by-step explanation:
The 'average' of a data set is the total of the data points divided by the number of data points.
Here:
total of the data points
---------------------------------- = 48
25
Multiplying both sides of this equation by 25 yields:
total of the data points = 1200
First the equation would look like this:
7n = 5n - 3
7n - 5n = 5n - 5n - 3 -Subtract 5n from both sides. Which gives you...
2n = -3
2n/2 = -3/2 -Divide both sides by 2
n = -1.5
Hope this helps!
