I think the answer is 16 because 16 x 3 is 48 and you're supposed to multiply the height by the width
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

С = 2πr [π≈3.14]
220 = 2 * 3.14 * r
220 = 6.28r
r = 220/6.28 ≈ 35 cm ← <span>to the nearest whole number.</span>
The 2 equations are
18.20x+19.50y=230.10
and
x+y=12
where x is the months of original cost and y is months for new cost. Since you know that you paid for one year (12 months) you can make the second equation. Then you want to substitute the first equations x by making the second equation
x=(12-y)
18.20(12-y)+19.50y=230.10
218.40-18.20y+19.50y=230.10
1.30y=11.70
y=9
so that means you had the original rate for 3 months and the new one for 9 months
Answer:
(D) 1+0.06m
Step-by-step explanation:
Let's say that m=$120
(A)= $127.2
(B)= $127.2
(C)= $127.2
(D)= $8.2
As you can see after I substituted in 120 for (m) and solved, D is the only equation that did not represent her current balance.
I hope this helps!