Answer:
8x + 20 ≥ 25
Step-by-step explanation:
Well 8 times the sum of a number "x" plus 20,
So we can write the following,
8x + 20
and that should be greater than or equal to 25
8x + 20 ≥ 25
<em>Thus,</em>
<em>as an inequality it is 8x + 20 ≥ 25.</em>
<em />
<em>Hope this helps :)</em>
Answer:
33cm
Step-by-step explanation:
385 / 35 = 11
11 times 3 = 33
I think what the teacher wants to express is that SI units are much more convenient to use than English units because the prefixes of the metric system will give you an idea on the conversion factor. Unlike English units, like ft to yard, there is no prefix to help you. You have to know the fact that 1 yard is equal to 3 feet.
Answer:
Proofs are in the explantion.
Step-by-step explanation:
We are given the following:
1)
for integer
.
1)
for integer
.
a)
Proof:
We want to show
.
So we have the two equations:
a-b=kn and c-d=mn and we want to show for some integer r that we have
(a+c)-(b+d)=rn. If we do that we would have shown that
.
kn+mn = (a-b)+(c-d)
(k+m)n = a-b+ c-d
(k+m)n = (a+c)+(-b-d)
(k+m)n = (a+c)-(b+d)
k+m is is just an integer
So we found integer r such that (a+c)-(b+d)=rn.
Therefore,
.
//
b) Proof:
We want to show
.
So we have the two equations:
a-b=kn and c-d=mn and we want to show for some integer r that we have
(ac)-(bd)=tn. If we do that we would have shown that
.
If a-b=kn, then a=b+kn.
If c-d=mn, then c=d+mn.
ac-bd = (b+kn)(d+mn)-bd
= bd+bmn+dkn+kmn^2-bd
= bmn+dkn+kmn^2
= n(bm+dk+kmn)
So the integer t such that (ac)-(bd)=tn is bm+dk+kmn.
Therefore,
.
//
Answer:
yes
Step-by-step explanation:
yes and uh yeah totally yeaaahhhh <3