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kondaur [170]
3 years ago
14

How many pounds of nuts selling for ​$ 12 per lb and raisins selling for ​$ 6 per lb should a person combine to obtain 120 lb of

a trail mix selling for ​$ 8 per​ lb?
Mathematics
1 answer:
puteri [66]3 years ago
6 0
(5) lb of nuts selling for $12 and 
<span>(10)lb of raisins selling for $6.</span>
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Suppose that the cost of producing n pairs of shoes is given by the expression c(n)=30+5n. the average cost of producing a pair
makkiz [27]
<h3>Given</h3>

c(n)=30+5n\\a(n)=\dfrac{c(n)}{n}

<h3>Find</h3>

\dfrac{d}{dn}(a(n))\quad\text{at n=10}

<h3>Solution</h3>

\dfrac{d}{dn}(a(n))=\dfrac{d}{dn}\left(\dfrac{30+5n}{n}\right)=\dfrac{d}{dn}\left(30n^{-1}+5\right)\\\\=-30n^{-2}\\\\=-30\cdot 10^{-2}\qquad\text{at n=10}\\\\=-0.30

The derivative of the average cost function at n=10 is -0.30.

7 0
3 years ago
There are nine empty seats in a theater, and six customers need to find places to sit. How many different ways can these six sea
dybincka [34]

Answer: 60480

Step-by-step explanation:

Given : The number of empty seats in a theater = 9

The number of customers need to find places to sit =6

Since order matters here, so we use permutations

The permutations of n things taking r at a time is given by :-

^nP_r=\dfrac{n!}{(n-r)!}

Then, the number of ways to arrange 6 seat in 9 seats :-

^9P_6=\dfrac{9!}{(9-6)!}=\dfrac{9\times8\times7\times6\times5\times4\times3!}{3!}\\\\=60480

Hence, the number of ways to arrange 6 seat in 9 seats = 60480

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3 years ago
100 point giveaway!!
jeyben [28]
Thank you!
Have a good day!
3 0
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Draw a line from F to (0,0). If you rotate that line 90 degree counterclockwise about the origin, the coordinate of F’ will be (4,1)

5 0
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