
which means there is some integer

for which

.
Because

and

, there are integers

such that

and

, and

We have

, which means there are four possible choices of

:
1, 42
2, 21
3, 14
6, 7
which is to say there are also four corresponding choices for

:
9, 378
18, 189
27, 126
54, 63
whose sums are:
387
207
153
117
So the least possible value of

is 117.
Answer:
6 times the square root 2
Step-by-step explanation:
Hi there!
Since this is a 45-45-90 triangle, we know the sides are a, a, and a times the square root of two.
Since we can see the 6 is on of the sides that has the 90 degree corner, we know that 6 is our a.
Therefore, we know k is the hypotenuse and is 6 times the square root 2.
Hope this helped, have a great day! ^u^
Answer:
Step-by-step explanation:
b + n = 192
n = 5b
b + 5b = 192
6b = 192
b = 192/6
b = 32 <==== 5 beads per bracelet
n = 5b
n = 5(32)
n = 160 <==== 160 beads per necklace