(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.
Answer:
$38.16
Step-by-step explanation:
8% of $48 is $3.84 so we subtract $48-$3.84=$44.16. Because of the coupon we then remove $6. $44.16-$6=$38.16
Answer:
34 nickels, 39 dimes, 78 quarters
Step-by-step explanation:
q = quarters, d = dimes, n = nickels
n = d - 5
q = 2d
.25q + .10d + .05n = 7.55
<em>Plug in the first 2 equations into the third one</em>
.5d + .10d + .05(d - 5) = 7.55
<em>Open up the Parenthesis</em>
.5d + .10d + .5d - .25 = 7.55
<em>Combine Like Terms</em>
.2d - .25 = 7.55-->
.2d = 7.8 -->
d = 39 -->
n = 39 - 5 = 34
q = 2(39) = 78
Answer:
2 notebooks are $2.48, 7 notebooks are $8.68
Step-by-step explanation:
Unit rate is 1.24
1.24x2= $2.48
1.24x7= $8.68
Answer:
Fraction 3 out of 3 /4
Step-by-step explanation: