The answer is all of the students are members of the frequent visitor program.
Let x be the number of students that are members of the frequent visitor program.
Let y be the number of students that are not members of the frequent visitor program.
There are in total 19 students: x + y = 19
x students will pay $11, y students will pay $13 for the ticket. Totally, it will be $209: 11x + 13y = 209
Now, we have the system of two equations:
x + y = 19
11x + 13y = 209
____________
Use the method of substitution:
x + y = 19
⇒ x = 19 - y
____________
11(19-y) + 13y = 209
11·19 - 11·y + 13y = 209
209 - 11y + 13y = 209
____________
Rearange:
13y - 11y = 209 - 209
2y = 0
⇒ y = 0
Since y = 0, x = 19:
x + y = 19
x + 0 = 19
x = 19
This means that all of the students in the group are members of the frequent visitor program.
Answer:
steps
Step-by-step explanation:
(1 + sinx)(1 - sinx) = 1 - sin²x = cos²x or = cos² -x
cos -x = cos x
∴ (1 + sinx)(1 - sinx) will not equal cos -x, unless x = ±360° or 0°
where cos ±360° or cos 0° = 1
9514 1404 393
Answer:
(b) 3h^-8·k^10
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
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![\dfrac{15h^{-4}k^{15}}{5h^4k^5}=\dfrac{15}{5}h^{-4-4}k^{15-5}=\boxed{3h^{-8}k^{10}}](https://tex.z-dn.net/?f=%5Cdfrac%7B15h%5E%7B-4%7Dk%5E%7B15%7D%7D%7B5h%5E4k%5E5%7D%3D%5Cdfrac%7B15%7D%7B5%7Dh%5E%7B-4-4%7Dk%5E%7B15-5%7D%3D%5Cboxed%7B3h%5E%7B-8%7Dk%5E%7B10%7D%7D)
Answer:
Step-by-step explanation:
It's soo hard