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prohojiy [21]
3 years ago
15

The ratio of cats to dogs at April's Animal Shelter was 3 to 2. How many dogs were in the shleter if there were a total of 75 ca

ts and dogs in the
shelter?
A 30
B 25
c 50
d 150
Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

A:30

Step-by-step explanation:

because 3+2(the ratio) =5

75(the total number or both) divide by 5

so 1 ratio=15

15 x 2(the ratio of dogs)

=30

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Successive terms have a common factor of -\dfrac23, which means the nth partial sum of the series can be written as

S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}
S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}

\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)

\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)
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As n\to\infty, the geometric term vanishes, leaving you with

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Hi please help me answer this!!
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The numbers that are irrational are B. √72 and D.√23.

<h3>What are irrational numbers?</h3>

Irrational numbers are those that have infinite numbers after the decimal. These numbers are also none repeating.

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Find out more on irrational numbers at brainly.com/question/20400557

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7 0
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