<span>
<u><em>The correct answer is: </em></u>green and blue.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>We want to see which fractions </span></span>

is a multiple of. We know that

is a multiple of

, because

*3=

.
We can divide fractions to determine if

is a multiple of

:

;
in order to divide fractions, flip the second one and multiply:

)*

=

=1

.
This did not divide evenly, so

is not a multiple of 1/2.
Checking to see if

is a multiple of

,

;
flip the second one and multiply:

*

=

=6.
This divided evenly, so

is a multiple of

.
Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).
Let <em>x</em> be the inverse. Then <em>x</em> is such that
23<em>x</em> ≡ 1 (mod 1000)
Use the Euclidean algorithm to solve for <em>x</em> :
1000 = 43×23 + 11
23 = 2×11 + 1
→ 1 ≡ 23 - 2×11 (mod 1000)
→ 1 ≡ 23 - 2×(1000 - 43×23) (mod 1000)
→ 1 ≡ 23 - 2×1000 + 86×23 (mod 1000)
→ 1 ≡ 87×23 - 2×1000 ≡ 87×23 (mod 1000)
→ 23⁻¹ ≡ 87 (mod 1000)
Answer:
$3.13
Step-by-step explanation:
3 x 1.044 = 3.132
Your answer should be 31
Tell me if it was correct?
Thanks!