Answer:
A) x=9/2 B) x=-1/5, 1/2
Step-by-step explanation:
3x-9=27/1-5x
3x-9=27-5x
3x-(-5x)-9=27
3x+5x-9=27
8x-9=27
8x=27+9
8x=36
x=36/8
simplify
x=9/2
Answer: x=9/2
-----------------------------
10x-1/x=3
(10x^2-1)/x=3
10x^2-1=3*x
10x^2-1=3x
10x^2-3x-1=0
factor out the trinomial,
find two numbers that when they multiply,
you get the third term, which is -1 in this case.
When you add those 2 numbers, you get the second term,
which is -3 in this case.
(5x+1)(2x-1)=0
apply the zero property from here,
set 5x+1=0 and 2x-1=0 and solve for x.
5x=0-1=-1, x=-1/5,
2x=0+1=1, 2x=1, x=1/2.
So x=-1/5, 1/2.
Answer:
$3.50
Step-by-step explanation:
Divide the price of 6 books ($21) by the number of books bought (6)
$21 divided by 6 = $3.50
So the price of 1 book is $3.50
Hope this helps :)
let
r--------> Alvin's average paddling rate in km/hour
y -------> speed of the current
in km/hour
we know that
speed= distance/time
------> solve for distance
distance=speed*time
to Campsite against the current
speed=r-y-----> speed=(r-3)
time=8 hours
distance=(r-3)*8------> equation 2
From Campsite with the current
speed=r+y-----> speed=(r+3)
time=3 hours
distance=(r+3)*3------> equation 1
equate equation 1 and equation 2-----> because is the same distance
(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour
therefore
the answer is
Alvin's average paddling rate is 6.6 km/hour
Answer:
24
Step-by-step explanation:
Answer: -11m-8
Step-by-step explanation:
-3m x -8m= -11m-8