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Sonbull [250]
3 years ago
15

Pls help Thank you.​

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer: A is about 90

Step-by-step explanation: B is 190

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Plz help I need help I am very confused
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Answer:

-  \frac{5}{7}

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\frac{ - 2 - 3}{7}

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Prove that if a is equivalent to 5 mod (8) and b is equivalent to 3 mod (8), then 8 divides ab+1
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Explanation contains the proof.

Step-by-step explanation:

a \equiv 5 (mod 8) \text{ means there is integer } k \text{ such that } a-5=8k.

b \eqiv 3 (mod 8) \text{ means there is integer } m \text{ such that } b-3=8m.

We want to show that 8 \text{ divides } ab+1.  So we are asked to show that there exist integer n \text{ such that } 8n=ab+1 \text{ or 8n-1=ab

So what is ab?

a-5=8k \text{ gives us } a=8k+5.

b-5=8m \text{ gives us } b=8m+5.

So back to ab....

ab

=(8k+5)(8m+5)

=64km+40k+40m+25  (I use foil to get this)

Factoring out 8 gives us:

=8(8km+5k+5m)+25

Now I could have factored some 8's out of 25.  There are actually three 8's in 25 with a remainder of 1.

=8(8km+5k+5m+3)+1

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The integer I found that is n is 8km+5k+5m+3.

Therefore 8|(ab+1).

//

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Step-by-step explanation:

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Length of each piece = \dfrac25 yards

The number of identical pieces can be cut from the entire ribbon = (Length of the ribbon ) ÷ (Length of each piece )

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Hence, the number of pieces of the ribbon she can cut = 13\frac12 yards

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