The water in a pool evaporates at a rate of 16 gallons per week. What integer represents the change in the number of gallons of
1 answer:
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Answer:
Option d :18 bags of chips and 6 jars of salsa
Step-by-step explanation:
Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.
Inequality :
Solution :
x represents chips
y represents salsa
Option a: 10 bags of chips and 2 jars of salsa
so, x = 10 and y =2
Putting values in inequality
Hence it is correct.
Option b : 20 bags of chips and 2 jars of salsa
so, x = 20 and y =2
Putting values in inequality
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
Hence it is correct.
Option d :18 bags of chips and 6 jars of salsa
so, x = 18 and y =6
Putting values in inequality
Hence it is not correct since it violates the inequality
See the answer on the attached
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