<h3><u>Question:</u></h3>
The perimeter of a rectangle is 34 units. Its width W is 6.5 units.
Write an equation to represent the perimeter in terms of the length L, and find the value of L
<h3><u>Answer:</u></h3>
The length of rectangle is 10.5 units
<h3><u>
Solution:</u></h3>
Given that,
Perimeter of rectangle = 34 units
Width of rectangle = 6.5 units
Let "L" be the length of rectangle
<em><u>The perimeter of rectangle is given by formula:</u></em>
Perimeter = 2(length + width)
<em><u>Substituting the values we get,</u></em>

Thus the equation is found
<em><u>Solve for "L"</u></em>

Thus length of rectangle is 10.5 units
Answer:
840
Step-by-step explanation:
Given


Required
Determine the number of rankings
The term "ranking" as used in this question implies permutation and the required is calculated using:

Where


So:






<em>Hence, number of ranking is 840</em>
If you say 3.5 times 30 ur answer would be 105
Answer:
1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: 
5. 
6. 
7. 
Step-by-step explanation:
Question 1:
We need to rewrite the expression using exponents
5.a.b.b.5.c.a.b.5.b
We will first combine the like terms
5.5.5.a.a.b.b.b.b.c
Now, if we have 5.5.5 we can write it in exponent as: 
a.a as
b.b.b.b as: 
So, our result will be:

Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: 
Question:
Rewrite using positive exponent:
The rule used here will be:
which states that if we need to make exponent positive, we will take it to the denominator.
Applying thee above rule for getting the answers:
5)
6) 
7) 
We know that
so, we get
