The occupancy rate of a motel is the percentage of rooms that are occupied on a particular night. The histogram below summarizes the occupancy rates for a random sample of 100 nights for a motel.
0.35
0.30
0.25-
0.20-
0.15-
0.10-
0.05
0+
0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95
Motel Occupancy Rate
Based on the histogram, which of the following values could represent Q3?
Relative Frequency
(A) 0.24
(B) 0.63
(C) 0.67
(D) 0.71
(E) 0.75

$9.41

step-by-step explanation:

-2/

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: