Answer:
Step-by-step explanation:
Assuming the system is solvable in the first place, create an augmented matrix of coefficients from the equations. Then put the matrix into reduced row echelon form.
Example is attached.
"Demonstrate by solving the following system."
You need to provide the system of equations.
Answer:
Step-by-step explanation:
video store A : 15 + 1.75m
video store B : 7.5 + 2.25m
15 + 1.75m = 7.5 + 2.25m
15 - 7.5 = 2.25m - 1.75m
7.5 = 0.50m
7.5 / 0.50 = m
15 = m <=== there would have to be 15 movie rentals to make them equal
check...
15 + 1.75m 7.50 + 2.25m
15 + 1.75(15) = 7.50 + 2.25(15) =
41.25 41.25
yep...it checks out
Answer:
3/4
Step-by-step explanation:
Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60
Solve for <em>q</em> :
3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)
3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>
0.4<em>q</em> = 1.6
<em>q</em> = 4
Discounted Cost= Cost of Item - (Cost of Item * % Discount)
= $45.60 - ($45.60 * 30%)
convert % to decimal (30% ÷ 100)
= 45.60 - (45.60 * 0.30)
multiply in parentheses
= 45.60 - 13.68
= $31.92 discounted cost
ANSWER: The discounted cost of the item is $31.92 (savings of $13.68).
Hope this helps! :)
