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satela [25.4K]
3 years ago
11

The local kennel has 3 spots for cats to every 5 dogs. if the local kennel has a total of 72 spots for both cats and dogs, then

how many spots do they have for cats?
Mathematics
1 answer:
aliina [53]3 years ago
5 0
3:5
5+3= 8
72 / 8 = 9
9 x 3 = 27
27 spots for cats
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Answer:

13.7

Step-by-step explanation:

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3 years ago
walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

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Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

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4 0
3 years ago
Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph. 2x - y
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5 0
3 years ago
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dexar [7]

Answer:

1/2 pound.

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8 0
3 years ago
Read 2 more answers
Please help me!!! :(
PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.

After applying the binomial theorem and simplifying, you should get:

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~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~

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