Let's name the seats 1 through 120.
Occupy seat 2.
Leave 2 empty seats. You can't leave 3 empty seats because then the middle seat of the three empty seats is not adjacent to an occupied seat. You can leave only 2 seats empty. Seats 3 and 4 are empty.
Occupy seat 5.
Leave 2 empty seats. Seats 6 and 7 are empty.
Keep on going like this to the end, occupying 1 seat and leaving 2 seats empty.
Now we need to find the number of occupied seats.
Think of the entire row being divided into groups of 3 seats.
The middle seat of each group is occupied.
Since there are 120 seats in the row, there are 40 groups of 3 seats whose middle seat is occupied. There are 40 middle seats, so there are 40 occupied seats.
Answer: 40 seats
It is a) 6.5 because the formula is lwh/3 and the length and width are both 2 and the height is rt24 because 25-1 is 24 (Pythagorean Theorem) and so when you solve, you get about 6.53 and that rounds to 6.5
Answer:
y = 1/5x + 2 1/5
Step-by-step explanation:
first find the negative reciprocal slope of 5x + y = 30 because perpendicular lines have negative reciprocal slope:
=> y = -5x + 30, negative reciprocal of the slope -5 is 1/5
substitute the new slope 1/5 and the coordinate (9, 4) into the equation: y = mx + b to solve for b
=> 4 = 1/5(9) + b
=> 4 = 9/5 + b
=> b = 2 1/5
plug in the slope 1/5 and b = 2 1/5 into the equation: y = mx + b
=> y = 1/5x + 2 1/5
Answer:
288
Step-by-step explanation:
when multiplying 2 negative integers, the answer is a positive integer.
-16 × -18 = 288
Answer:
(f+g)(x) = 5^x+5x-6
Step-by-step explanation:
f(x)=5^x+2x
g(x)=3x-6
(f+g)(x) = 5^x+2x+3x-6
Combine like terms
(f+g)(x) = 5^x+5x-6
