I need those points so bad I don’t know the answer sorry
a.

By Fermat's little theorem, we have


5 and 7 are both prime, so
and
. By Euler's theorem, we get


Now we can use the Chinese remainder theorem to solve for
. Start with

- Taken mod 5, the second term vanishes and
. Multiply by the inverse of 4 mod 5 (4), then by 2.

- Taken mod 7, the first term vanishes and
. Multiply by the inverse of 2 mod 7 (4), then by 6.


b.

We have
, so by Euler's theorem,

Now, raising both sides of the original congruence to the power of 6 gives

Then multiplying both sides by
gives

so that
is the inverse of 25 mod 64. To find this inverse, solve for
in
. Using the Euclidean algorithm, we have
64 = 2*25 + 14
25 = 1*14 + 11
14 = 1*11 + 3
11 = 3*3 + 2
3 = 1*2 + 1
=> 1 = 9*64 - 23*25
so that
.
So we know

Squaring both sides of this gives

and multiplying both sides by
tells us

Use the Euclidean algorithm to solve for
.
64 = 3*17 + 13
17 = 1*13 + 4
13 = 3*4 + 1
=> 1 = 4*64 - 15*17
so that
, and so 
Answer:
27 pizzas
Step-by-step explanation:
Each brick of cheese can make 3 pizzas since there are 3 thirds in 1. We multiply 3 by the total number of bricks to get 27.
Answer:
1/3
Step-by-step explanation:
The reciprocal of a number is 1 divided by the number.
The reciprocal of 3 is 1 divided by 3, or simply 1/3.
Answer:
z<8
Step-by-step explanation:
First: write down the equation : 6z<48
Second: divide both sides with 6 (since its the only number that can be divided for both sides)
Third: then you'll get z<8