Each friend gets 1/18
Because 1/6 divided by 3 is 1/18
Answer:
40 mL of vinegar,
280 mL of dressing
Step-by-step explanation:
Let v = the milliliters ( mL ) of 100% vinegar,
Then it should be that 320 - v = mL of dressing.
v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 
v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.
Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,
v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "
v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "
v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract
0.88v = 35.2 - Divide 0.88 on either side
v = 40 mL of vinegar,
320 - v = 320 - 40 = 280 mL of dressing
Answer:
20000/10
Step-by-step explanation:
Answer:
A. C(x) = 30.000 + 2500x
B. R(x) = 3125x
C. 48 items break even point
Step-by-step explanation:
A. The cost function C(x) is fixed cost plus variable cost.
In this case overhead works as fixed cost, we can write:
C(x) = 30.000 + 2500x
B. Revenue R(x) would be the price multiplied by quantity of items (x).
R(x) = 3125x
C. Break even point
To get the break even point we set R(x) = C(x) and find the value of x.
R(x) = C(x)
3125x = 30.000 + 2500x
3125x-2500x=30.000
625x=30.000
x=30.000/625
x=48
It means when you sell 48 items the costs will even revenue. So if you sell more than 48, then it's going to be profitable. If you sell less than 48, you will be losing money.
