If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true

8 0

3 years ago

How do you simplify 875/1000

OverLord2011 [107]

$Find\ GCF(875;\ 1000)$

$875|5\\175|5\\.\ 35|5\\.\ \ 7|7\\.\ \ 1|\\875=\fbox5\times\fbox5\times\fbox5\times7\\\\1000|5\\.\ 200|5\\.\ \ 40|5\\.\ \ \ 8|2\\.\ \ \ 4|2\\.\ \ \ 2|2\\.\ \ \ 1|\\1000=\fbox5\times\fbox5\times\fbox5\times2\times2\times2$

$GCF(875;\ 1000)=\fbox5\times\fbox5\times\fbox5=125\\\\\frac{875}{1000}=\frac{875:125}{1000:125}=\frac{7}{2\times2\times2}=\boxed{\frac{7}{8}}$

8 0

3 years ago

Write a formula for the given measure. Let P represent the perimeter in inches, and w

mario62 [17]

PERIMETER = 2 (LENGTH + WIDTH)
PERIMETER = 2 LENGTH + 2 WIDTH

Given: Length 5 inches

P = 2(5 in) + 2w
P = 10 in + 2w

Perimeter is dependent in both length and width. Changes in any length of width will automatically change perimeter.

For find width using the perimeter formula:

P = 10 + 2w
P - 10 = 2w
(P-10)/2 = w
P/2 - 5 = w

w = P/2 - 5

If the perimeter and length is given, you can use the derived formula to solve for width.

4 0

3 years ago