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Eddi Din [679]
2 years ago
8

A kennel has 80 dogs in total dogs in total, some are puppies and some are adult dogs. The ratio of puppies to adult dogs in a k

ennel is 3:2. How many puppies are there?
Mathematics
1 answer:
aleksklad [387]2 years ago
8 0
The ratio given says this - 3 puppies : 2 adults = 5 total dogs
You are given (?) puppies : (?) adults = 80 total dogs
In this case, you are trying to find the number of puppies, so you do not need to care about the number of adults. You need to compare the ratio with the actual amount.
Total/puppies = total/puppies
5/3 = 80/(?)
Now, cross multiply. 
5(?) = 240
Divide both sides by 5 and you get your answer.
(?) = 48
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According to Euclid’s second postulate, how far can the line segment shown be extended in either direction?
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Answer:

b. not at all

Step-by-step explanation:

• a line goes on forevee in every direction

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What are the factors of the polynomial function? Use the rational root theorem to determine the factors. f(x) = 2x³ + x² - 8x -
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Answer:

( x + 2 ) ( x - 2 ) ( 2x + 1)

Step-by-step explanation:

coefficient of x³ is 2 and denote it with q and denote -4 as p

the set of possible rational roots through rational theorem will be within ± (p/q)

now factors of -4 are ±(1,2,4) and factors of 2 are ± (1,2) the possible rational roots are ± ( 1/1, 1/2, 2/1, 2/2, 4/1, 4/2) which reduces to ± (1, 1/2, 2, 4)

substitute each of the value into the equation

f(x) = 2x³ + x² - 8x - 4 to the root ( that gives f(x) = 0)

the equation can be made easy writing it in reduced form

2x³ + x² - 8x - 4

(2x³ + x²) - (8x + 4)

x² (2x + 1) - 4 (2x + 1)

(x² - 4) (2x + 1)

( x + 2 ) ( x - 2) ( 2x + 1) are the factors which correspond to 2, -2, -1/2 roots

4 0
2 years ago
Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x?
sergeinik [125]

Solving  RootIndex 3 StartRoot 8 EndRoot Superscript x we get =2^x

Step-by-step explanation:

We need to find equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x

Writing in mathematical form:

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Solving:

We know 8= 2x2x2= 2^3

and \sqrt[3]{x}=x^{\frac{1}{3}}

Applying these rules:

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=(2^{\frac{3}{3}})^x\\

=2^x

So, solving  RootIndex 3 StartRoot 8 EndRoot Superscript x we get =2^x

Keywords: Radical Expression

Learn more about Radical Expression at:

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  • brainly.com/question/10534381

#learnwithBrainly

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2 years ago
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Which expression can be used to find 20 percent of 92? One-fifth times 92 StartFraction 1 Over 20 EndFraction times 92 One-half
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Answer:

The answer to your question is (\frac{1}{5}) 9

Step-by-step explanation:

To solve this problem we must use proportions

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Use cross multiplication to solve this proportion

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Substitute this value

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