Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
solve for y
The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept is the point 
The x-intercept is the point 
----> inequality B
The solution of the inequality B is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept is the point 
The x-intercept is the point 
Using a graphing tool
The solution of the system of inequalities in the attached figure
We can take adult ticket as x and senior ticket as y.
Now we will form two equations
x + y = 140
13x + 10y = 1664
This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)
We will multiply first equation with (-10) and get
-10x-10y=-1400 Than we will add to second equation and get
3x=264 => x=264/3=88 => x=88
Now we will replace x in the first equatin before multiplying and get
88+ =140 => y= 140-88= 52 => y=52
adult tickets x=88 and senior tickets y=52
Good luck!!!
10+12+14 = 36
12/36 x 11/35 x 14/34 = 11/255
There's your answer.
Answer:
1289.31 feet
Step-by-step explanation:
One full ride has 3 minutes of duration, and the speed of the carousel is 3.8 revolutions per minute, therefore one full ride takes 3.8*3 = 11.4 revolutions.
If the diameter of the carousel is 36 feet, its circunference is pi*36 feet long.
In each revolution of the carousel, it travels the length of its circunference, that is, pi*36 feet.
If one full ride has 11.4 revolutions, the total distance travelled by the rider is 11.4 * pi * 36 = 1289.31 feet
In solving for the value of x in the equation 1331x^3 - 216 = 0, the steps are shown below:
1331x^3 - 216 = 0
(1331x^3 = 216) / 1331
x^3 = 216/1331
x = cube root (216/1331)
x = 6/11
Therefore, the value of x in the equation is 6/11.
