A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and
rabbits. They want to purchase the same number of cages for dogs as for cats, but only
one-fourth as many cages for rabbits. How many of each cage should they buy?

Answers

Answer 1
For simplicity’s sake:
D = dogs, C = cats, R = rabbits

Since the dogs and the cats are the same number, we can say C = D.

R = 1/4D

2D + 1/4D = 36

Combine like terms and get the same denominator

9/4D = 36

9D = 144

D = 16

Now we know that D is 16, so C must be 16 as well. That leaves us with 32 cages.

36 - 32 = 4 rabbit cages. To double check this, 1/4 of 16 does equal 4.

Final answer: 16 D, 16 C, 4 R
Answer 2

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

For simplicity’s assume;

D = number of dogs cages, C = number of cats cages,

R = number of rabbits cages.

Since, The dogs and the cats cages are the same number,

We can say, C = D.

Only one fourth as many cages for rabbits,

So, we can formulate,

R = 1/4D

Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.

2D + 1/4D = 36

Combine like terms and get the same denominator;

9/4D = 36

9D = 144

D = 16

So,

Number of dogs cages = 16

Number of cats cages = 16

And, Number of rabbits cages = 36 - (16 + 16)

                                                = 36 - 32

                                                = 4

Thus,

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

Learn more about the mathematical expression visit:

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Answer:

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Step-by-step explanation:

PLS I WILL GIVE BRAINLIEST AND IT IS WORTH DOUBLE POINTS!!!
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Step-by-step explanation:

Answer:

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Answers

Answer:

x<-1

Step-by-step explanation:

5-4x>-x+8

adding 4x to both sides we get

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Te ajut eu la dacă vrei la matematica

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Answers

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Answers

Answer:

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Step-by-step explanation:

Hope that helps!

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Answers

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The steps are given in the pic. Hope it will help :)

Hello, happy Friday, I am just here with some geometry questions.
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Answer:

I think that Thomas Clarksons motive for publishing this drawing of a slave ship was to inform people what it was like. He wanted to show how crowded it was. Thomas might have wanted to show how people were treated.

( i dunno what else to put but you could talk about how he felt about the slave trade)

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Answer:

1.25 kg of sugar in each bag

Step-by-step explanation:

10/8 = 1.25

Please give a 5 star rating if this helped!

Regina have 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go into each bag?

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Answer:

(3×25)÷5=15

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please mark me as brainlist

Answer:

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Step-by-step explanation:

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Follow the steps to provide to answer the question

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Answer:

Step-by-step explanation:

1. Greatest Common Factor is the largest number that can be multiplied to get the product common to both product.

Factors of 8                               Factors of 12

1      8                                               1     12

2     4                                               2     6

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2. I need the expression rewritten in order to help you.

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Answers

Answer:

M<E

Step-by-step explanation:

It would be m

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i just took the test.

Processes
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Answers

Answer:

9 bike racks

Step-by-step explanation:

25 girls. 20 Boys

20+25=45

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Answers

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Answers

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Answer:

8x^3 + 36x^3 + 54x + 27

Step-by-step explanation:

If you're asking to expand the equation the answer is 8x^3 + 36x^3 + 54x + 27

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Answers

Answer:

y = 10x

Step-by-step explanation:

Independent variable (x) = time (minutes)

Dependent variable (y) = distance (feet)

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Answers

Answer:

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Step-by-step explanation:

11/12 - 6/12 = 5/12

Answer:

5/12

Step-by-step explanation:

hope this helps have a nice day

13 percent of a certain company's life insurance policy holders are smokers. For each nonsmoker the probability of dying during the year is 0.002. For each smoker the probability of dying during the year is 0.02. Find the probability that a policy holder who died last year was a smoker.

Answers

Answer:

.6

Step-by-step explanation:

Using Bayes' theorem

While s = smoker

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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. It is believed that the machine is underfilling the bags. A 13 bag sample had a mean of 415 grams with a standard deviation of 30. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer:

P value = 0.407

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Fail to reject Null hypothesis

Step-by-step explanation:

Given the data in the question;

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level of significance = 0.1

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Alternative hypothesis Hₐ : μ < 417

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Rejection Region { level of significance = 0.1, df = 12 }

critical value of t is - 1.356 as { left tailed test }

Test Statistics;

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Answer:

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Step-by-step explanation:

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Answers

Answer:

How many real-number solutions does the equation have? - 7x2 + 6x + 3 = 0​

Step-by-step explanation:

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First number:

Second number:

Third number:

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Answer:

41 is my geuss

Step-by-step explanation:

1/4 and 1/2 common denominators​

Answers

Answer:

4

Step-by-step explanation:

Answer:

The common denominator of 1/4 and 1/2 is 4.

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Sam has two coupons for a bicycle. coupon A: $20 rebate on a $95 bicycle. coupon B: 25% off a $95 bicycle. choose the coupon that gives the lower price. then fill in the blank​

Answers

Answer:

B

Step-by-step explanation:

ummm pls help (: pls

Answers

Answer:

Hence, first one will be 1/3 and second one will be 1/6

Step-by-step explanation:

1. Let the blank space be x then,

[tex]3 \frac{2}{3} + x = 4[/tex]

[tex]x = 4 - 3 \frac{2}{3} [/tex]

[tex]x = \frac{12 - 11}{3} [/tex]

[tex]x = \frac{1}{3} [/tex]

2. Let the blank be x then,

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[tex]x = \frac{5}{6} - \frac{2}{3} [/tex]

[tex]x = \frac{5 - 4}{6} [/tex]

[tex]x = \frac{1}{6} [/tex]

help please!!

3+12-9=
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5+4x(2+7) =

Answers

Step-by-step explanation:

6

11х3-2=33-2=31

(16-6):2=10:2=5

5+4х9=5+36=41

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