There should be 4.5 oz of vinegar and 22.5 oz of oil
-5x+y=0
x+y=27
-6x=-27
Answer:
240 copies
Step-by-step explanation:
40/5 to find how many copies a minute.
You get 8 copies a minute.
Multiply 8 copies by 30 minutes to get 240 copies
Answer:
x < y > 2
Step-by-step explanation:
Girls is more than boys, so:
y > x
Girls is more than 2, so:
y > 2
So:
x < y > 2
I hope this helps you :)
Annamarie equation:
slope: m= (y2-y1)/x2-x1)
m = (38.5 -11)/(10-0)
= 27.5 /10
2.75
y intercept = 10
y = 2.75x + 10
annamarie pays flat fee of 10 and then 2.75 per basket picked
bri equation 3.25x + 5.5
bri pays an flat fee of 5.5 and 3.25 per basket picked
True statements:
Annamarie pays 2.75 per basket picked
The farm where Bri picked charges less of a flat fee
Hello from MrBillDoesMath!
Answer: 500
Discussion:
The idea is to represent p(x) with a squared component...
3 + 4x - 4x^2 =
3 - ( 4x^2 - 4x) =
Add and subtract 1:
(3+1) - (4x^2-4x +1) =
4 - (2x-1)^2
To maximize profit we need to minimize the term (2x-1)^2 as it is always positive (or zero) and subtracts from the number 4. The minimum of (2x -1)^2 occurs when 2x -1 = 0 or x = 1/2. Since x is the number of speakers in thousands, (1/2)x = 500 speakers.
Note: this problem can be more easily addressed in a Calculus course by taking the first derivative of p(x), setting it to zero, and solving for x (which yields x = 1/2 too)
Thank you,
MrB
