Answer:
1806 seats.
Step-by-step explanation:
From the question given above, the following data were obtained:
Row 1 = 24 seats
Row 2 = 27 seats
Row 3 = 30 seats
Total roll = 28
Total number of seat =?
From the above data, we can liken the roll to be in arithmetic progress.
Also, we are asked to determine the total number of seats in the theater.
Thus the sum of the sequence can be written as:
Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e
24 + 27 + 30 +...
Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:
First term (a) = 24
Common difference (d) = 2nd term – 1st term
Common difference (d) = 27 – 24 = 3
Number of term (n) = 28
Sum of the 28th term (S₂₈) =?
Sₙ = n/2 [2a + (n –1)d]
S₂₈ = 28/2 [2×24 + (28 –1)3]
S₂₈ = 14 [48 + 27×3]
S₂₈ = 14 [48 + 81]
S₂₈ = 14 [129]
S₂₈ = 1806
Thus, the number of seats in the theater is 1806.
Answer:
P(company) = P(ride with friends) + P(with parents) = .23 + .4 = .63 0r 63%
Step-by-step explanation:
The 3 different case scenarios are independent of one another:.37 + .23 + .4 = 1
P of two of them occurring is found by adding their individual Probabilities
The lengths of the sides of the triangle:
No sides are equal to each other, so it's a scalene triangle.
Check if the sides satisfy the Pythagorean theorem:
They do, so it's a right triangle.
The triangle is a
right scalene triangle.
Answer:
200+10×12=320
Step-by-step explanation:
The equation is linear because it is in the form y = mx+b, which is slope intercept form
m = 2 is the slope
b = -5 is the y intercept
Graphing y = 2x-5 produces a straight line.
