Step-by-step explanation:
-4x – 2y= -18
Add 2y to both sides
-4x- 2y+ 2y = -18 + 2y
Simplify
-4x = -18 + 2y
Divide both sides by -4
-4x/-4= -18/-4+ 2y/-4
simplify
x= - -9+y/2
Use the Euclidean algorithm to express 1 as a linear combination of 
and 
.
a. 
because
77 = 1*52 + 25
52 = 2*25 + 2
25 = 12*2 + 1
so we can write
1 = 25 - 12*2 = 25*25 - 12*52 = (77 - 52)(77 - 52) - 12*52 = 77^2 - 2*52*77 + 52^2 - 12*52
Taken modulo 77 leaves us with
b. First, 
, so really we're looking for the inverse of 25 mod 52. We've basically done the work in part (a) already:
1 = 25*25 - 12*52
Taken modulo 52, we're left with
c. The EA gives
71 = 1*53 + 18
53 = 2*18 + 17
18 = 1*17 + 1
so we get
1 = 18 - 17 = 3*18 - 53 = 3*71 - 4*53
so that taken module 71, we find
d. Same process as with (b). First we have 
, and we've already shown that
1 = 3*18 - 53
which means, taken modulo 53, that
Answer:
For each hour Cara works, she earns $10.
Step-by-step explanation:
You could see that on the graph that for 5 hours Cara has worked, she earns 50 dollars. The slope would be 50/5. 50/5 is equal to 10/1 through dividing so Cara earns $10 for each hour she works.
48 because,
<span>For example
To find x percent of y you can just do </span>
<span>y times x/100 </span>
<span>So in this case </span>
<span>100 times 20/100 </span>
<span>which comes to 20 </span>
<span>so 20% of 100 is 20. </span>
The price for one magazine is $6. Hope this helps. Happy Thanksgiving
