Answer:
40 girls, 88 people total
Step-by-step explanation:
boys : girls
6 : 5
48 : ?
6 x 8 = 48, 5 x 8 = 40
40 girls
48 + 40 = 88
88 people total
Answer:
= z/12 - 1/3
Step-by-step explanation:
z-4/(4+8)
= z-4/12
= z/12 - 4/12
= z/12 - 1/3
Answer: B
Step-by-step explanation:
the cost is $8, and it goes for 40% off, so the discount is 8*40%=3.2;
then the sale price = 8-3.2 = 4.8.
V=x(8-2x)(10-2x) or expanded
V=x(4x^2-36x+80)
V=4x^3-36x^2+80x
...
If you were to graph the above equation for V(x) you will see a maximum point where the "y" value is maximized, but be careful as V will increase without bound at values of x that are not part of the domain, ie, in this case x<8/2, x<4 to have any meaning...The proper domain of this function is:
x=(0,4), Mathematically finding this point quickly is by differentiating it with respect to x...
dV/dx=12x^2-72x+80, The maximum volume will occur when dV/dx=0 and the x value is within the correct domain...
12x^2-72x+80=0 (using the quadratic formula for ease)
x=(72±√1344)/24, and since x<4
x≈1.472in (to the nearest one thousandth of an inch)
