Answer:
the quotient is keeping batman alive
Answer:
Ok, we have a system of equations:
6*x + 3*y = 6*x*y
2*x + 4*y = 5*x*y
First, we want to isolate one of the variables,
As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:
(6*x + 3*y)/(2*x + 4*y) = 6/5
now we isolate one off the variables:
6*x + 3*y = (6/5)*(2*x + 4*y) = (12/5)*x + (24/5)*y
x*(6 - 12/5) = y*(24/5 - 3)
x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y
Now we can replace it in the first equation:
6*x + 3*y = 6*x*y
6*(0.5*y) + 3*y = 6*(0.5*y)*y
3*y + 3*y = 3*y^2
3*y^2 - 6*y = 0
Now we can find the solutions of that quadratic equation as:

So we have two solutions
y = 0
y = 2.
Suppose that we select the solution y = 0
Then, using one of the equations we can find the value of x:
2*x + 4*0 = 5*x*0
2*x = 0
x = 0
(0, 0) is a solution
if we select the other solution, y = 2.
2*x + 4*2 = 5*x*2
2*x + 8 = 10*x
8 = (10 - 2)*x = 8x
x = 1.
(1, 2) is other solution
Answer:
102,100 decigrams
Step-by-step explanation:
(564 dag + 458 dag) = 1021 dag
1021 dag × 100 dg/dag = 102100 dg
The two cases together weigh 102,100 decigrams.
_____
1 dag = 10 g
1 dg = 0.1 g
In the given question the most important part is convert ounce to pound and then the problem becomes easy. We already know
1 ounce = 0.0625 pounds
Then
24 ounce = 0.0625 * 24 pounds
= 1.5 pounds
Now let us focus on the problem in hand and the information's that are already given in the question.
The cost per pound of the sandwich sold by Deli = 6.40
Then
The cost of 1.5 pound of sandwich sold by Deli = 6.40 * 1.5
= 9.60
So the cost of 24 ounces of spread is 9.60.
56 is a decimal part of 70. 56 = 4/5 = .8