Answer:
a. true b. true
Step-by-step explanation:
<em>(a) If r and s are rational numbers, then (r+s)/2 is rational. </em>
true
rational numbers can be expresed as fractions
let be r=a/b and s=c/d being a,b,c,d integer numbers

d.a=e is an integer number because it's the product of two integers
b.c=f is an integer number because it's the product of two integers
e+f=g is an integer number because it's the sum of two integers
b.d=h is an integer number because it's the product of two integers
2.h=i is an integer number because it's the product of two integers
g/i=j is an integer number because it's the quotient of two integers
then
<em>(b) For all real numbers a and b, if a < b then a < (a+b)/2 < b</em>
true


lets analyze 2a < (a+b)

then 2a < (a+b) is true
lets analyze (a+b) < 2b

then (a+b) < 2b is true
What fraction is equivalent to the whole number 6?
Well, any fraction which result gives you 6 is a fraction that would fulfill the requirement, I'll give you a few examples so you can grasp the idea:
6 = 6/1 = 12/2 = 18/3 = 24/4 = 30/5 = 36/6 = 42/7 = 48/8 = 54/9 = 60/10
Answer:
The minimum amount of breaking strain the crane can handle is 6350 kg. (Since it is measured to 2 sig. figs, 6349 kg would round down to 6300 kg, hence the min. is 6350 kg.)
The maximum weight of each crate would be 94 kg. (Since it is measured to the nearest 10 kg, 95 kg would round up to 100 kg, hence the max. is 94 kg.)
Therefore, the greatest number of crates that can be safely lifted would be (6350/94) crates which is 67.5 crates, which rounded down is 67 crates.
All numbers are taken as integers in this answer.
Step-by-step explanation:
Hope this helped!
Answer:
A. -1 and 1/3
Step-by-step explanation:
The number -1 and 1/3 is directly to the right of -1 and 2/3 because there is a -1/3 difference between them
3x+9=6x
-9 -9
—————
3x=6x-9
-6x -6x
—————
3x-6x=-9
-3x=-9
x=3
hope it helped