Answer:
n=4
Step-by-step explanation:
Given equation: \[\frac{1}{n-4}-\frac{2}{n}=\frac{3}{4-n}\]
Simplifying the Left Hand Side of the equation by taking the LCM of the denominator terms:
\[\frac{n}{n*(n-4)}-\frac{2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{n - 2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{n - 2n + 8}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{8 - n}{n*(n-4)}=\frac{3}{4-n}\]
=> \[(8-n)*(4-n) =n*(n-4)*3\]
=> \[n-8 =3n\]
=> \[2n =8\]
=> n = 4
The first thing you want to do is isolate the (x)s.
Answer: 3.75 gallons
Step-by-step explanation:
8 fl oz x 60 (minutes)=480 fl oz
480 fl oz ÷ 128=3.75 gallons
Answer:
x = 25
Step-by-step explanation:
A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
3x + 21y = 180°.....(1)
2x + 26y = 180°.....(2)
From equations (1) & (2)
3x + 21 y = 2x + 26y
3x - 2y = 26y - 21y
x = 5y
y = 1/5 x
Plug y = 1/5 x in equation (1)
3x + 21*1/5x = 180
15x + 21x = 180*5
(Multiplying both sides by 5)
36x = 900
x = 900/36
x = 25
Midpoint = ( 7 + (- 5 )/2) , ( 0 + (-4)/2)
(7-5/2) , (0-4/2)
(2/2) , (-4/2)
(1 , -2)<-- this point will be in quadrant 4 see it in graph
