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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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The quadratic function below has an axis of symmetry through x = -4; a vertex at (-4, -9) and zeroes at x = -7 and x = 0.
Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 9), thus

y = a(x + 4)² - 9

To find a substitute the coordinates of the zero (- 7, 0) into the equation.

0 = a(- 7 + 4)² - 9, that is

0 = 9a - 9 ( add 9 to both sides )

9a = 9 ( divide both sides by 9 )

a = 1, thus

y = (x + 4)² - 9 ← expand factor using FOIL

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4 0
2 years ago
2x+3y is greater than or equal to 500 simplified
madreJ [45]
Its already simplified
3 0
3 years ago
What is the domain of f(x) = √x – 4 over the set of real numbers?​
nikklg [1K]

Answer:

<u>(2) x </u>\geq \\<u> 4</u>

Step-by-step explanation:

Given the sqrt(x),  x \geq \\ zero

So, given sqrt(x -4),  x -4 \geq \\ 0

Now solve for x

x - 4 \geq \\ 0

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6 0
2 years ago
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timofeeve [1]

Answer:

5 x 5 = 25 and 5 + 5 = 10

Step-by-step explanation:

You multiply 5 Five times.

So you get 5,10,15,20,25!

The answer is 25

You add 5 two times.

So you get 5 plus 5!

5,6,7,8,9,10!

The answer is 10

Hope this helped!

~Oreo!!

5 0
3 years ago
Rate of change from X = 15 to X = 19.
vova2212 [387]

Answer:

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Step-by-step explanation:

Subtract the old amt from the new amt, then divide by the old amt:

19-15/15 = 4/15 = 26.6%. Rounded to the nearest tenth it would be 26%.

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3 years ago
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