How many positive integers under 50 are multiples of neither 4 nor 6

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Candidates range from 1 to 50.
50/4=12 positive integers are multiples of 4
50/6=8 positive integers are multiples of 6
50/12=4 positive integers are multiples of 12 (LCM of 4 and 6)
By the inclusion/exclusion principle, the number of multiples of either 4 or 6 is equal to 12+8-4=16.

Therefore, the complement is the number of positive integers that are multiples of neither 4 nor 6 = 50-16=34.

You might be interested in

Need help it’s easy

defon

My dear friend ✌ ✌

Good morning ❤

Here is your answer given in the attachment above⏫

Pls mark my answer as brainliest ✨

❤❤Follow me❤❤

$have \: a \: nice \: day$
❤✨❤✨❤✨❤✨❤✨❤✨❤✨❤

3 0

2 years ago

Read 2 more answers

What is the distance between (7, 1) and (4, -5)?

marusya05 [52]

The distance between those to points is d=6.708204 or d=6

6 0

3 years ago

Read 2 more answers

Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find F″(1).

eduard

Reading that as

$F(x)=\displaystyle\int_1^{3x}(\ln t)^2\,\mathrm dt$

By the fundamental theorem of calculus, the first derivative is

$F'(x)=3(\ln(3x))^2$

and so the second derivative would be

$F''(x)=\dfrac{6\ln(3x)}x$

which means

$F''(1)=6\ln3$