Answer:
x= -40
Step-by-step explanation:
Cost
C(x)=1,600+20x
P(x)=100-x
Revenue=x*p(x)
=x*(100-x)
=100x-x^2
Cost=Revenue
1600+20x=100x-x^2
1600+20x-100x+x^2=0
1600-80x+x^2=0
Solve using quadratic formula
Formula where
a = 1, b = 80, and c = 1600
x=−b±√b2−4ac/2a
x=−80±√80^2−4(1)(1600) / 2(1)
x=−80±√6400−6400 / 2
x=−80±√0 / 2
The discriminant b^2−4ac=0
so, there is one real root.
x= −80/2
x= -40
Step-by-step explanation:
Total amount of cookies = 4250
butter cookies, b
Almond cookies, a
Chocolate cookies, c
It made 715 more butter cookies than
almond cookies
b = a + 715
It made 5 times as many chocolate cookies as almond
5a = c
Total amount of cookies
= a + b + c
= a + (a+715) + (5a)
= 7a + 715
7a + 715 = 4250
7a = 4250-715
a = 3535 / 7
a = 505
c = 5a
= 5 (505)
= 2525
The factory make 2525 chocolate cookies.
Answer:
a. 5,040 ways
b. 210 ways
Step-by-step explanation:
a) We want to pick 4 numbers out of 10 given that orders matter
If orders do matter, it will be a permutation problem
Mathematically;
n P r = n!/(n-r)!
In this case, n is 10 and r is 4
Thus, we have it that;
10 P 4 = 10!/(10-4)! = 5,040
b) if orders do not matter
It will be a combination problem
n C r = n!/(n-r)!r!
n = 10 and r = 4
10 C 4 = 10! /(10-4)!4!
= 210
600 * 0.85 (the way to work out 85% of something) = 510 flights on time
6=3 : 16=6 14=6 that should be right
