<span>The answer is B. C(n) = 0.75n - 0.25.
Let n be the number of pieces. The price for 1 piece is $0.75. The price C for n pieces without a coupon is n * $0.75: C(n) = 0.75n. The coupon value is $0.25. So, this value must be subtracted from the total price of n pieces. Since the coupon values in independent on the number of pieces, the price C for n pieces with the coupon will be: C(n) = 0.75n - 0.25. Therefore, the correct choice is B.</span>
Answer:
14) 21.136505024965 m
15) 43.076759215619 km
Step-by-step explanation:
14)
let h be the height of the lighthouse:
tan(41.3) = 18.7/h
Then
h = 18.7÷tan(41.5)
= 21.136505024965 m
………………………………………
15)
90-71.4 =18.6
Let s be the distance that the plane flew
towards the south:
tan(90 - 71.4) = s/128
Then
tan(18.6) = s/128
Then
s = tan(18.6)×128
= 43.076759215619 km
Answer:
3x +4y = 118
5x+6y =180
y= $25
Step-by-step explanation:
Let x = the cost of a flashlight
Let y = the cost of a sleeping bag
3x +4y = 118
5x+6y =180
Multiply the first equation by -5
-5(3x +4y) = -5*118
-15x -20y = -590
Multiply the second equation by 3
3(5x+6y) =3*180
15x + 18y = 540
Add the modified equations together.
We are using elimination to eliminate the variable x
-15x -20y = -590
15x + 18y = 540
----------------------------
-2y = -50
Divide by -2
-2y/-2 = -50/-2
y =25
Each sleeping bag costs $25
Cos(x) = 1 at 0 and 2pi 360 and -360 is the same angle as 2pi so all of the above if you start at 0 and make a complete circle (360) you will be back at point 0.
