30% of his customers ordered chili with no cheese
Answer:
see below
Step-by-step explanation:
Let N = how much Nellie spends
Let D = how much Debbie spends
Part A
Nellie spends $122 more than Debbie.
N= D +122
Their total expenses amount to $840.
N+D =840
The two equations are
N= D +122
N+D =840
Part B
We can substitute the first equation which is solved for N into the second equation. Every place we see an N in the second equation, we replace it with D+122
Part C
N= D +122
N+D =840
(D+122) +D = 840
Combine like terms
2D +122 = 840
Subtract 122 from each side
2D+122-122=840-122
2D =718
Divide by 2
2D/2= 718/2
D =359
Debbie spends 359
Answer:
Independent variable: b - books
Dependent variable: w - weeks
graph attached
Step-by-step explanation:
b = 2w + 3
b = total number of books collected
w = is the number of weeks
So, the number of books depend on the number of weeks, so
Independent variable: b - books
Dependent variable: w - weeks
f(x) = tan2(x) + (√3 - 1)[tan(x)] - √3 = 0
tan2(x) + √3[tan(x)] - tan(x) - √3 = 0
Factor into
[-1 + tan(x)]*[√3 + tan(x)] = 0
which means
[-1 + tan(x)] = 0 and/or [√3 + tan(x)] = 0
Then
tan(x) = 1
tan-1(1) = pi/4 radians
For the other equation
[√3 + tan(x)] = 0
tan(x) = -√3
tan-1(-√3) = -pi/3
so that
x = pi/4 or -pi/3 in the interval [0, 2pi]
