Answer
the area is 26 cm
Step-by-step explanation:
for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2
for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12
for box A it is 3 by 4 so that would be 12
you add the results together 12+12+2=26cm
Let x = no. of 10 oz cups sold
Let y = no. of 14 oz cups sold
Let z = no. of 20 oz cups sold
:
Equation 1: total number of cups sold:
x + y + z = 24
:
Equation 2: amt of coffee consumed:
10x + 14y + 20z = 384
:
Equation 3: total revenue from cups sold
.95x + 1.15y + 1.50z = 30.60
:
Mult the 1st equation by 20 and subtract the 2nd equation from it:
20x + 20y + 20z = 480
10x + 14y + 20z = 384
------------------------ subtracting eliminates z
10x + 6y = 96; (eq 4)
Mult the 1st equation by 1.5 and subtract the 3rd equation from it:
1.5x + 1.5y + 1.5z = 36.00
.95x + 1.15y+ 1.5z = 30.60
---------------------------subtracting eliminates z again
.55x + .35y = 5.40; (eq 5)
Multiply eq 4 by .055 and subtract from eq 5:
.55x + .35y = 5.40
.55x + .33y = 5.28
--------------------eliminates x
0x + .02y = .12
y = .12/.02
y = 6 ea 14 oz cups sold
Substitute 6 for y for in eq 4
10x + 6(6) = 96
10x = 96 - 36
x = 60/10
x = 6 ea 10 oz cups
That would leave 12 ea 20 oz cups (24 - 6 - 6 = 12)
Check our solutions in eq 2:
10(6) + 14(6) + 20(12) =
60 + 84 + 240 = 384 oz
A lot steps, hope it made some sense! I hope this helps!! ;D
Answer:
y=0, x=1
Step-by-step explanation:
6x-3y= -6 ...... equation 1
y =2x+2 ..... equation 2
subtract 2x from both sides
y-2x=2x-2x+2
y-2x=2
6x-3y= -6
y-2x=2
Rearrange
6x-3y= -6 ........x1
-2x +y=2............x3
6x-3y= -6
-6x +3y=2
0y=0
y=0
substitute y=0 in equation 1
6x-3xo= -6
6x= -6
x-6/6
x = -1
If the wheel is $650=8% tax, the tax would be $52 we get that by multiplying 650*8% then add 650+52 and we get 702. so together the cheese wheel is $702
