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noname [10]
3 years ago
7

There are a total of 20 dogs and cats at a kennel. if the ratio of the number of dogs to the number of cats at the kennel is 3 t

o 2, how many cats are at the kennel?
Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

Number of cats in the kennel = 8

Step-by-step explanation:

Let

c denote the number of cats and

d be the number of dogs

Given that the ratio of dogs to cats is 3 to 2

So,

d:c=3:2

Sum of ratio is 5.

And the total number of cats and dogs is 20.

So in order to find the number of cats, following formula will be used:

Numbr\ of\ cats=\frac{ratio\ of\ cats}{sum\ of\ ratio}*Total\ number\ of\ animals\\ =\frac{2}{5}*20\\ =2*4\\=8

So, there are 8 cats in the kennel ..

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3 years ago
1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
gavmur [86]

Answer:

A(x) = 12000(1.04)^x

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

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This means that P = 12000

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This means that r = 0.04, n = 1

What equation will calculate the value in x years?

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2 years ago
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Read 2 more answers
If d is the midpoint of the segment AC
3241004551 [841]

Based on the statement below,  if d is the midpoint of the segment AC, the  length of the segment AB  is  4.5cm.

<h3>What is the line segment about?</h3>

in the question given,

AC = 3cm,

Therefore,  AD and DC will be = 1.5cm segments each.  

We are given C as the midpoint of segment DB.

So CB = 1.5cm.

The representation of the line segment is:

A-----------D------------C-------------B

     1.5           1.5            1.5

Since AD, DC and CB are each 1.5cm segments. Then the equation will be:

= 1.5 + 1.5 + 1.5

= 4.5

Therefore, The length of the segment AB is 4.5cm.

See full question below

If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.

Learn more about midpoint  from

brainly.com/question/10100714

#SPJ1

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