1/3 is the probability that the spinner will stop at the green section since each section is 1/3 of the circle.
The question is:15b+m-4b
we have same variables that are 15b and -4b so we can calculate it.Okay first let's calculate the like terms 15b-4b i.e 11b and the +m remains the same so the answer is:11b+m
Arc length: s = radius (central angle)
Here, 18 cm = (radius)(7pi/8)
Solving for the radius:
18 cm (18 cm)(8)
radius = --------------- = ------------------ = ? Please calculate this.
(7pi/8) 7pi
X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.
Answer:
≈ 12.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the third side, then
x² + 6² = 14²
x² + 36 = 196 ( subtract 36 from both sides )
x² = 160 ( take the square root of both sides )
x = 
≈ 12.6 ( to the nearest tenth )
