This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=first term, d=common difference, n=term number.
We know a=1 and d=7 so:
a(n)=1+7(n-1)
a(n)=1+7n-7
a(n)=7n-6
The above is the "rule" for the nth term.
Answer:
Length: 19 feet
Width: 10 feet
Area: 190 feet
Step-by-step explanation:
This is a question about ratio.
Length: let
be the actual length.


Width: let
be the actual width.


Area: A = xy

Answer:
504
Step-by-step explanation:
In the attached file
Hope it helps
Answer:
She paid 9% of sales tax
Step-by-step explanation:
The sale price of diamond = $375
Let x be percent of sales tax
So, amount of tax = 
So, Amount including tax = 375+3.75x
We are given that Bethany paid $408.75 for a pair of diamond stud earrings.
So, 375+3.75x=408.75
3.75x=408.75-375

x=9
Hence She paid 9% of sales tax
<span><span>x = x^2 - 30
or
x^2 - x - 30 = 0
Factors to
(x-6)(x+5) = 0
x = +6 is the positive number</span></span>