For this case, the first thing we must do is define variables.
We have then:
x = pounds of type a coffee
y = pounds of type b coffee
We now write the system of equations:
5.95x + 4.45y = 490.05
y = 2x
Solving the system of equations we have:
x = 33
y = 66
Answer:
were used 33 pounds of type a coffee
Answer:
c = 2.25
Step-by-step explanation:
f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.
The average slope is ...
m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4
The point at which the derivative is 4 is ...
f'(c) = 6/√c = 4
√c = 6/4
c = 2.25
3/4 pound* ($1.20/ 1 pound)= $0.90
Logan spent $0.90 on apples~
Answer:
22 people saw an horror movie
Step-by-step explanation:
Total people who attended the Sunday matinee = 48
People who saw romantic comedy = 3/8 of 48
= 3/8 × 48
= (3*48) / 8
= 144 / 8
= 18 people
People who saw action movie = 1/6 of 48
= 1/6 × 48
= 48/6
= 8 people
People who saw horror movie = x
Total people who attended the Sunday matinee = People who saw romantic comedy + People who saw action movie + People who saw horror movie
48 = 18 + 8 + x
48 = 26 + x
Subtract 26 from both sides
48 - 26 = 26 - 26 + x
22 = x
x = 22 people
22 people saw an horror movie