Answer:
Step-by-step explanation:
multiply first,
so 2√6 x √8 = 2√48 (because when radicals are multiplied we add them)
so
2√48 can be simplified to 8√3 and 2√12 can be simplified to 4√3
8√3+4√3=12√3
Answer:
Step-by-step explanation:
3c + 5w = 16
6c + 2w = 22
-6c - 10w = -32
6c + 2w = 22
-8w = -10
w = 10/8 = 5/4 = $1.25 per lb
3c + 5(1.25) = 16
3c + 6.25 = 16
3c = 9.75
c = $3.25 per lb
To solve the inequality 

The numerator
is not factorizable.
so factor the denominator
:

Now take 
Then we get factor of the denominator as 
Thus 
Now 
Signs of 

is the required solution of the given inequality.
Answer:
100m^2
Step-by-step explanation:
area of trapezoid formula: 
b=base
so
base #1= 8
base #2= 12
h(height)= 10
(8+12)=20(sum of bases)
20/2=10(sum of bases over 2)
10*10=100(height * whats remaining of bases)
100m^2
hope this helps
Answer:
The probability that the second card drawn is red, given that the first card was a heart is 0.1225
Step-by-step explanation:
Total cards in a deck = 52
Total red cards = 26
Heart cards = 13
Probability of getting red card =
Total remaining card = 51
Remaining red cards = 25
Probability of getting red card in second draw without replacement = 
So, the probability that the second card drawn is red, given that the first card was a heart = 
Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225