Answer:
1.92 miles
Step-by-step explanation:
she had walked 10 miles so that is where you start
Monday she had walked 2.38 so you subtract that from her total
Tuesday she had walked 2.4 so you subtract that from your new total
Wednesday she had walked 3.3 and you subtract that from the new total also
Thursday she had not walked anything so your remaining total is the amount she had walked on Friday
So first we factor
9-t^2=difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
3^2-t^2=(3-t)(3+t)
t^2+t-12
factor by finding what 2 number add to get 1 and multiply to get -12
the numbers are -3 and 4
(t-3)(t+4)
[(3-t)(3+t)]/[(t-3)(t+4)] we can't factor out any further
if it was t^2-9 then we could go further but since it isn't this is the factored form
(<u><em>if</em></u> it was t^-9 then the answer would be (t+3)/(t+4))
3127^173 ≡ 7^173 mod 10
Now - let's look at the powers of 7 mod 10:
7^1 = 7 mod 10
7^2 = 49 ≡ 9 mod 10
7^3 ≡ 3 mod 10
7^4 ≡ 1 mod 10
And this cycle repeats. So
7^173 ≡ 7^1 ≡ 7 mod 10
The last digit is 7.
350 every 2 days.
6 days is THREE 2-days.
So he drinks 350*3 = 1050 liters of tea