For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
We can rewrite the system like:
Ax = b
Where,
A = [5 3; -8 -3]
b = [17; 9]
x = [x; y]
The determinant of matrix A is given by:
lAl = ((5) * (- 3)) - ((3) * (- 8))
lAl = (-15) - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9
To find the unit price of each bag, divide each cost by the weight to find the cost of shrimp per pound.
For the 2.12 pound bag: 14.75 / 2.12 = $6.96 (rounded to the nearest cent)
For the 3.77 pound bag: 24.99 / 3.77 = $6.63 (rounded to the nearest cent)
You can tell that buying the 3.77 pound bag is better based on the unit price because of 6.63 < 6.96.
X equals to 3 because if you multiply 3 times 8 which equals to 24.
Answer:
The cube has a side 4 cm long. This would mean the top of the cylinder ( circle) would have a diameter of 4 cm. and the height would also be 4 cm.
Volume of a cylinder is: Volume = πr^2h
r = radius = 4/2 = 2
h = height = 4
In terms of PI:
Volume = 2^2 x 4 x π
Volume = 16π cubic cm.
Using 3.14 for PI:
Volume = 3.14 x 2^2 x 4
Volume = 50.24 cubic cm.
Answer:
The correct answer is zero.
Step-by-step explanation:
There are 12 different breeds of puppies in a pet store which includes 6 poodles, 5 terriers and 1 retriever.
Rebecka and Aaron picks two puppies where Rebecka makes the first pick followed by Aaron.
This draw draw done by Rebecka is carried out without replacement.
Probability that Rebecka selects a retriever is 
.
Now Aaron is to pick a puppy. We need to find the probability that he picks a retriever. This is an impossible event as there is just one retriever in the puppy store and that has already been picked up by Rebecka without replacement. Thus the probability is zero.
Therefore the probability that Aaron selects a retriever, given Rebecka selects a retriever is zero.
