Answer:
2/5 x ? = 4/3?
4/3 / 2/5= ?
Quick method is quick change flip, Change the division sign into multiplication and switch the values in the denominator and numerator of the second fractiom
4/3 x 5/2 = 20/6
simplify to 10/3
x or ? = 10/3
written as a mixed number is is 3 1/3
Step-by-step explanation:
Answer:
Domain: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Range: The area of variation between upper and lower limits on a particular scale.
Step-by-step explanation:
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.