Count the number of multiples of 3, 4, and 12 in the range 1-2005:
⌊2005/3⌋ ≈ ⌊668.333⌋ = 668
⌊2005/4⌋ = ⌊501.25⌋ = 501
⌊2005/12⌋ ≈ ⌊167.083⌋ = 167
(⌊<em>x</em>⌋ means the "floor" of <em>x</em>, i.e. the largest integer smaller than <em>x</em>, so ⌊<em>a</em>/<em>b</em>⌋ is what you get when you divide <em>a</em> by <em>b</em> and ignore the remainder)
Then using the inclusion/exclusion principle, there are
668 + 501 - 2•167 = 835
numbers that are multiples of 3 or 4 but not 12. We subtract the number multiples of 12 twice because the sets of multiples of 3 and 4 both contain multiples of 12. Subtracting once removes the multiples of 3 <em>and</em> 4 that occur twice. Subtracting again removes them altogether.
Answer:
d
Step-by-step explanation:
Answer:
3x - 20 = 5
Step-by-step explanation:
Answer:
12.808 meter is the length should Rickey use for the mural.
Step-by-step explanation:
Area of the mural = A = 
Length of the mural = l
Width of the mural = w
l = 5 + 2w
Area of the rectangle = l × w
Solving above equation with the help of Completing squares method:
w = 3.904 m (accept)
w = -6.404 m (reject)
l = (5 + 2w)m = 5 + 2 × (3.904) m= 12.808 m
12.808 meter is the length should Rickey use for the mural.
