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liraira [26]
3 years ago
7

Farmer John sells a dozen of eggs for $1.56. What is the unit cost per egg?

Mathematics
2 answers:
Klio2033 [76]3 years ago
3 0

Step-by-step explanation:

There are 12 in a dozen, so each egg would cost $1.56.

Now, you must multiply $1.56 by 12. Now you can find the answer from here. Hope this helps!

SVEN [57.7K]3 years ago
3 0

Answer:

$0.13

Step-by-step explanation:

Divide the total cost by the amount of items.

1.56/12=0.13

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Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.
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Answer:

The inequality that you have is 5^{n}>2^{2n+1}+100,\,n>4. You can use mathematical induction as follows:

Step-by-step explanation:

For n=5 we have:

5^{5}=3125

2^{(2(5)+1)}+100=2148

Hence, we have that 5^{5}>2^{(2(5)+1)}+100.

Now suppose that the inequality holds for n=k and let's proof that the same holds for n=k+1. In fact,

5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.

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5^{k+1}>(2^{2k+1}+100)\cdot (4+1)

5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100

5^{k+1}>2^{2k+3}+100\cdot 4

5^{k+1}>2^{2(k+1)+1}+100

Then, the inequality is True whenever n>4.

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the davis family pays $200,000 for a new house they make a down payment that is 1/10 of the price of the house how much is the d
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<em><u>The equivalent expressions are:</u></em>

7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

7(-\frac{3}{4}x - 3)

We have to find the equivalent expressions

By distributive property,

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7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21

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Answer:

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Step-by-step explanation:

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