Let number=x
(X/2)+6=8
First subtract 6 on each side to isolate X on one side.
(X/2)=2
Now to fully isolate X by itself, just multiply 2 on each side.
X=4
6 hikers = 4.5 lbs of trail mix
4.5 divided by 6= .75 lbs each hiker.
Answer: Correct
Step-by-step explanation:
The conclusion is valid. Since 
and 
, we know that ABCD is a parallelogram because it has two pairs of parallel sides. Also, since 
, we know that ABCD is a parallelogram with a pair of consecutive congruent sides, making it a rhombus.
The rate of 8 gallons every 25 hours means that the faucet fills 
gallons every hour.
Multiply the unit rate for the number of hours you're interested in to find
Answer:
length = 7 meters
Step-by-step explanation:
l = length
w = width
w = 3×l - 6
l×w = 105 m²
l×(3×l - 6) = 105
3×l² - 6×l = 105
l² - 2×l = 35
l² - 2×l - 35 = 0
solution of a squared equation is
(-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = -2
c = -35
(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =
(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6
l1 = 1+6 = 7 meters
l2 = 1-6 = -5 meters, which did not make any sense for an actual object.
so, l = 7 meters remains.
