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Iteru [2.4K]
3 years ago
12

Tammy knits blanket and scarves. On the first day of a craft fair, she sells 2 blankets and 5 scarves for $104

Mathematics
1 answer:
omeli [17]3 years ago
3 0

Answer:

Cost of Blanket = 32

Step-by-step explanation:

Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.

So, Day 1 : 2b + 5s = 104 (i)  , Day 2 : 3b + 4s = 128 (ii)

Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get

6b  +  15s    =   312 ,

(-)6b + (-)8s =  (-)256

By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .

Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32

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nignag [31]

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we need to prove : for every integer n>1, the number n^{5}-n is a multiple of 5.

1) check divisibility for n=1, f(1)=(1)^{5}-1=0  (divisible)

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3) Induction,

f(k+1)=(k+1)^{5}-(k+1)

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Take out the common factor,

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add both the sides by f(k)

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We have proved that difference between f(k+1) and f(k) is divisible by 5.

so, our assumption in step 2 is correct.

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Therefore, for every integer n>1, the number n^{5}-n is a multiple of 5.

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Hope this helps

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Read 2 more answers
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