So the sum is:
89 + 24 + 17 = 130
Hope it helps :)
Answer:
1000 miles
Step-by-step explanation:
69%= 690 miles
1%= 690/69
1%= 10 miles
100%= 10*100
The total was 1000 Miles
Hope this helps!
Answer:
Look at the photo
Step-by-step explanation:
I hope I solved it right. Once you get the main concept of it, it's pretty easy.
If you have any questions about the way I solved it, don't hesitate to ask
First of all, let's make the following observations:
15 is an integer, so in particular it is rational. The sum of two rational is rational. This means that is irrational if and only if is irrational.
Similarly, since 17 is rational and the multiplication of two rationals is rational, we have that is irrational if and only if is irrational.
The proof that is irrational is the following: suppose by contradiction that we could write
where a and b are two integers with no common factors.
Squaring both sides, we have
So, is a multiple of 3. This happens if and only if a itself is a multiple of 3. So, we can write and the expression becomes
So, is a multiple of 3 as well, and this happens if and only if b is itself a multiple of 3.
So, we started with the assumption that we could write as a reduced fraction, but this assumption led to a contradiction.
We deduce that is irrational, and so are and
an = a1r^(n-1)
a5 = a1 r^(5-1)
-6 =a1 r^4
a2 = a1 r^(2-1)
-48 = a1 r
divide
-6 =a1 r^4
---------------- yields 1/8 = r^3 take the cube root or each side
-48 = a1 r 1/2 = r
an = a1r^(n-1)
an = a1 (1/2)^ (n-1)
-48 = a1 (1/2) ^1
divide by 1/2
-96 = a1
an = -96 (1/2)^ (n-1)
the sum
Sn = a1[(r^n - 1/(r - 1)]
S18 = -96 [( (1/2) ^17 -1/ (1/2 -1)]
=-96 [ (1/2) ^ 17 -1 /-1/2]
= 192 * [-131071/131072]
approximately -192