c/7 = 6 1/7 ⇒ c = 43 ⇒ 43/7 = 6 1/7
Convert mixed fraction into a simple fraction
6 1/7 ⇒ (6 * 7 + 1)/7 = 43/7
c/7 = 43/7
proportionality:
a/b = c/d where ad = bc
a = c
b = 7
c = 43
d = 7
ad = bc ⇒ c7 = 7*43 ⇒ c7 = 301 ⇒ 7c/7 = 301/7 ⇒ c = 43
Mike's withdrawals will be treated as negative numbers.
Since Mike withdrew $60 three times, use the following equation to find the change in his balance:

The change in Mike's account balance will be
-$180.
Both expression have the same denominator: 9x²-1. Thus it must not be 0.
9x²-1=(3x-1)(3x+1)=0, resulting x=+-1/3.
Restrictions: x in R\{-1/3, 1/3}
Adding those expressions:
E=(-x-2)/(9x²-1 ) + (-5x+4)/(9x²-1)=
(-x-2-5x+4)/(9x²-1)=(-6x+2)/(9x²-1)=
(-2)(3x-1)/(9x²-1)=-2/(3x+1)
E=-2/(3x+1)
Lets solve the question,
Given dimensions are:
Length = 26 feet
Width = 14 feet
concrete walkway with width = c
After installing the concrete walkway dimensions of the walkway will be,
Length = 26 + 2c
Width = 14 + 2c
She wants to build a wooden deck around the pool with a concrete walkway of width = w
Thus the dimensions of the wooden deck around the pool will be,
Length = 
Width = 
Now the perimeter of the wooden deck will be,
Perimeter = 2(length + width)
![= 2[(26 +2c + 2w) + 2(14 + 2c + 2w)] = 2(40 + 4c + 4w) = (80 + 8c + 8w)](https://tex.z-dn.net/?f=%3D%202%5B%2826%20%2B2c%20%2B%202w%29%20%2B%202%2814%20%2B%202c%20%2B%202w%29%5D%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%3D%202%2840%20%2B%204c%20%2B%204w%29%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%3D%20%2880%20%2B%208c%20%2B%208w%29)
Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w
Perimeter = (80 + 8c + 8w)
Learn more about Perimeter on:
brainly.com/question/397857
#SPJ10
Answer:
Step-by-step explanation:
L = 3*w + 1 Given
P = 2*(L + w) Formula for Perimeter. Substitute for L
P = 2*(3w + 1 + w) Combine
P = 2*(4w + 1)
P = 58 Given
58 = 8w + 2 Remove the brackets
58 - 2 = 8w Subtract 2
56 = 8*w Divide by 8
56/8 = w
7 = w
================
Find L
L = 3*w + 1
L = 3*7 + 1
L = 22
================
Check
2L + 2W = 58
2*22 + 2*7 =? 58
44 + 14 = ? 58
58 = 58
The answer checks.