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:
4 2/3 units cubed
Step-by-step explanation:
Since they didn't give the 3rd side length, but they gave us one side's area we can just do 3 1/3 times 1 2/5 which gives us 14/3 which then is reduced to 4 2/3 units cubed.
Oh and btw I see that's a khan academy question.
7
Step-by-step explanation:
(x - 3)² = 16
x² - 6x + 9 = 16
x² - 6x + 9 - 16 = 0
x² - 6x - 7 = 0
(x - 7)(x + 1)
x = 7 \/ x = -1
so positive value of <u>x = 7</u>
Answer:
X= 17.5
Step-by-step explanation:
the outside of the triangle always = 180
so you need to add up all the sides and equal to 180
5x+35+x+5+2x=180
add like terms
8x+40=180
get the x alone
x=17.5