Answer:
In order to have a consistent linear system represented by the augmented matrix:
the value of h must be:
Step-by-step explanation:
A system is consistent if it has a solution, this solution can be unique or a set of infinite solutions.
First, you take the augmented matrix and find the equivalent row echelon form using Gaussian-Jordan elimination:
To do this, you have to multiply the 1st row by 3 and add it to the 2nd row, the resulting matrix is:
Now, write the system of equations:
The only way this system has a solution is if 5+3h=0, then, to satisfy this, the value of h must be:
There are 4 quarts in a gallon.
So 2 quarts of milk = 1/2 a gallon for $3
1 gallon of milk (4 quarts) for $3
Answer:
Therefore, 1 gallon of milk for $3 is the better deal.
We know that the area of a rectangle can be written as: length x width
so:
l x (1/5) = 9/20
9/20 x 5/1 = 45/20, which can be reduced to 9/4
So the length is 9/4 miles
Answer:
The volume is 45 cubic units.
So enter "45" into the box.
Step-by-step explanation:
Multiply the dimensions to get the volume. (<u>Length times width times height</u>)
The box is 5 units by 3 units by 3 units.
Solve 5x3x3 (LxWxH) using a calculator...
And you get 45 cubic units.
Total amount of gas required to go to Florida is:
40*4=160 liters
1 hectoliter= 100 liters
Thus the number of liters that Susan can afford is 200 liters.
since 200<160, we conclude that she has enough fuel to Florida