Answer:
33.6
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Step-by-step explanation:
Answer:
See description below.
Step-by-step explanation:
A distance -time graph of Maria's journey would look like a very steep line with slope 100 meters/1 minute until minute 4. At minute 4, Maria stopped to talk so it would like a horizontal flat line at that same distance for 3 minutes. This means at minute 7, Maria began walking again. From minute 7 on would be a positive line heading up with a slope of 75 meters/ 1 minute.
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)
