1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BlackZzzverrR [31]
3 years ago
13

In a shelter, the number of kennels is proportional to the number of dogs. The constant of proportionality in terms of dogs per

kennel is 3, and there are 27 dogs in the shelter. How many kennels are there?
9
15
30
81
Mathematics
2 answers:
Masja [62]3 years ago
8 0

Answer:  The correct option is (A) 9.

Step-by-step explanation:  Given that in a shelter, the number of kennels is proportional to the number of dogs. The constant of proportionality in terms of dogs per kennel is 3, and there are 27 dogs in the shelter.

We are to find the number of kennels.

Let k and d represents the number of kennels and dogs respectively in the shelter.

Then, according to the given information, we have

k\propto d\\\\\Rightarrow d\propto k\\\\\Rightarrow d=tk~~~~~~~\textup{[where t is the proportionality constant]}\\\\\Rightarrow \dfrac{d}{k}=t.

Since constant of proportionality in terms of dogs per kennel is 3, so we have

t = 3. That is,

\dfrac{d}{k}=3\\\\\\\Rightarrow k=\dfrac{d}{3}

When d = 27, then

k=\dfrac{27}{3}=9.

Thus, the number f kennels is 9.

Option (A) is CORRECT.

yaroslaw [1]3 years ago
5 0
The answer is 9 as you divide 27 by 3
You might be interested in
Despite control measures, the pigeon population in Winchester is increasing by 10% each year. If there are currently 9,520 pigeo
TEA [102]

Using an exponential function, it is found that there will be 32,866 pigeons in 13 years.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

The initial value and the growth rate are given by:

A(0) = 9520, r = 0.1.

Hence the function is given by:

A(t) = 9520(1.1)^t

Hence in 13 years, the amount of pigeons will be of:

A(13) = 9520(1.1)^{13} = 32866

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0
2 years ago
Can someone please solve 7???
cestrela7 [59]

Answer:

A

Step-by-step explanation:

Sum the parts of the ratio, 5 + 3 = 8 parts

Divide the total area by 8 to find the value of one part of the ratio.

1624 ÷ 8 = 203 cm² ← value of 1 part of ratio, thus

Area of B = 3 × 203 = 609 cm² → A

3 0
3 years ago
Read 2 more answers
May someone please help me with this :)
adoni [48]

Answer:

24

Step-by-step explanation:

6+8=14 14+10=24

4 0
3 years ago
The formula for the volume of a cube is V(s) = s3 where s is the side length of the cube. In which quadrant(s) is the graph of t
iVinArrow [24]
The answer is D because the function is a cubic function. if you graph for example, x³, it would be in Q. 1 and 3
5 0
3 years ago
Read 2 more answers
How many pt are there in 10 qt
nataly862011 [7]
The answer is 20 pt. Hope this helped
8 0
3 years ago
Other questions:
  • 10k to the third power + 8k to the second power + 10 divided by (k+1)
    15·1 answer
  • Find the 90% confidence interval for the population standard deviation given the following.
    14·1 answer
  • Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76
    15·1 answer
  • Which statements are true about the fully simplified product of (b-2c)(-3b+c? Select two options.
    8·2 answers
  • Whats an irrational number between 7.7 and 7.9 ?
    14·2 answers
  • What is the quantity of 26/13
    10·2 answers
  • 2m-6=4m+8 how do i answer this in algebraic proof
    15·1 answer
  • The first Africans to be brought to British North America landed in which colony in the early 1600s?
    15·2 answers
  • 5x-4y when x=-2 and y=3
    6·1 answer
  • Suppose 2' is a normally distributed random variable with ft = 10.3 and 0 = 3.8. For the following probability,draw an appropria
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!