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Naily [24]
3 years ago
6

An animal shelter has 9 puppies. If the puppies are 36% of the total dog and cat population, how many dogs and cats are in the a

nimal shelter?
Mathematics
1 answer:
Luda [366]3 years ago
5 0

Answer:

Let total number of dog and cat population in animal shelter be x.

As per the statement:

An animal shelter has 9 puppies.

⇒ Total number of puppies = 9

It is also given that if the puppies are 36% of the total dog and cat population.

⇒ 9 = 36\% \text{of}{\text{total number of dogs and Cat}

or

9 = \frac{36}{100} \times x

By cross multiply we get;

900 = 36 x

Divide both sides by 36 we get;

25 = x

Therefore, total number of dogs and cat population in animal shelter are 25


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Sets C and D are subsets of the universal set U.
Natali5045456 [20]

The require set (CUD)' and C'nD is {q, r, x, y} and  Ø.

<h3>Set theory</h3>

Sets are elements arranged in a specific pattern or way. Given the expression below;

U= {f, k, q, r, s, x, y }

C={f, s,y}

D = {f,x)

CUD is the union of two sets and given as:

C U D = {f, s, y, k}

(CUD)' = {q, r, x, y}

For the set C'nD

C' = {k, q, r,x}

C' n D =  Ø.

Hence the require set (CUD)' and C'nD is {q, r, x, y} and  Ø.

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2 years ago
Matthew was modeling an activity to the class. In a brown paper bag, he had 3 red marbles, 2 blue, and 5 green marbles. What is
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multiply the two fractions together:
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4 0
3 years ago
What is 4(2 + a) = 24 <br> a=
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A local improvement store sells different sized of storage sheds. The most expensive shed has a footprint that is 15 feet wide b
Mekhanik [1.2K]

Answer:

Question 1: Are the footprints of the two sheds similar?

  • <u>Yes, the two sheds are similar.</u>

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction,

  • <u>It is a reduction</u>

Question 3: Find the scale factor from the most expensive shed to the least expensive shed

  • <u>The scale factor is 3/2</u>

Explanation:

Question 1: Are the footprints of the two sheds similar?

The<em> footprints</em> of the two sheds will be <em>similar</em> if their measures are proportional.

The ratio of the measures of the<em> footprint of the most expensive shed</em> is:

  • width/length = 15 feet / 21 feet = 5 / 7

The ratio of the measures of the <em>footprint of the least expensive shed</em> is:

  • width/length = 10 feet / 14 feet = 5 / 7

Since, the two ratios are equal, you conclude that the corresponding dimensions are proportional and the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction.

A <em>reduction</em> is a similar transformation (the image and the preimage are similar)  that maps the original figure into a smaller one.

Since the dimensions of the foot print of the least expensive shed, 10 feet wide by 14 feet long, are smaller than the dimensions of the most expensive shed, 15 feet wide by 21 feet long the you conclude that the former is a reduction of the latter.

Question 3: Find the scale factor from the most expensive shed to the least expensive shed.

To find the <em>scale factor from the most expensive shed to the least expensive shed</em>, you divide the measures of the corresponding dimensions. You can do it either with the widths or with the lengths.

Using the widths, you get:

  • width of the foot print of the most expensive shed / width of the foot print of the least expensive transformation

  • 15 feet / 10 feet = 3/2.

That means that the scale factor from the most expensive shed to the least expensive shed is 3/2.

Using the lenghts, you should obtain the same scale factor:

  • length of the foot print of the most expensive shed / length of the foot print of the least expensive transformation

  • 21 feet / 14 feet = 3/2. Such as expected.
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3 years ago
The Molokai Nut Company (MNC) makes four different products from macadamia nuts grown in the Hawaiian Islands: chocolate-coated
lisabon 2012 [21]

Answer:

Profit = Selling price - Variable cost  

Formulas:  

F2 =SUMPRODUCT(B2:E2,$B$16:$E$16) copy to F2:F12, F14  

Optimal solution: The company should produce the following quantities (in pounds) of the four varieties of nuts.  

Whole = 1000  

Cluster = 500  

Crunch = 80  

Roasted = 200  

Total profit = $ 2913.20

Step-by-step explanation:

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3 years ago
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