Answer:1 2 and 4
Step-by-step explanation:
I just did it
Answer:
x = 1 and y = 2
Step-by-step explanation:
Let apples are represented by x
and let oranges are represented by y
You purchase 5 pounds of apples and 2 pounds of oranges for $9. This line in equation format can be written as:
5x + 2y = 9
Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17.
This line in equation format can be written as:
5x + 6y = 17
Now we have two equations:
5x + 2y = 9 -> eq (i)
5x + 6y = 17 -> eq(ii)
We can solve these equations to find the value of x and y.
Subtracting eq(i) from eq(ii)
5x + 6y = 17
5x + 2y = 9
- - -
_________
0+4y= 8
=> 4y = 8
y= 8/4
y = 2
Now, putting value of y in eq (i)
5x + 2y = 9
5x +2(2) = 9
5x +4 = 9
5x = 9-4
5x = 5
x = 1
so, x = 1 and y = 2
Since x and y are directly related, the equation for their comparison will look like
kx = y
where k is your constant. They give you an instance in the problem where x = 27 and y = 81. Plug this into the above equation and solve for k.
kx = y
k (27) = 81
k = 3
Thus, the constant of variation is 3.
7.07 so I think you'd leave it at 7 for your answer
The first thing we must do for this case is to calculate the volume of the can using the largest diameter:
V = pi * ((d / 2) ^ 2) * (h)
Where,
h: height
d: diameter.
Calculating we have:
V = pi * ((2.60 / 2) ^ 2) * (4.83) = 25.64 in ^ 3
Then, to determine the amount of liquid in millimeters, we can use a simple rule of three:
1 in ^ 3 ---> 16.3891 milliliters
25.64 in ^ 3 ---> x
Clearing x we have:
x = ((25.64) / (1)) * (16.3891) = 420.22 mm
answer
The amount of liquid that has been bottled in milliliters is 420.22 mm
