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Pepsi [2]
3 years ago
10

An animal shelter has a ratio of cats to dogs that is 9 to 7. If the shelter has 18 cats, how many dogs would it have?

Mathematics
1 answer:
madreJ [45]3 years ago
5 0

Answer: 14 dogs

Step-by-step explanation:

Given

The ratio of cats to dogs is 9:7

The shelter has 18 cats

Suppose shelter has x dogs

\Rightarrow \dfrac{9}{7}=\dfrac{18}{x}\\\\\Rightarrow x=\dfrac{18\times 7}{9}=14\ \text{dogs}

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Joe collect stamps he decided to sell half of his stamp collection to Frank and use the money to buy 10 new Sam's Joe now has 26
ANTONII [103]

Answer:

32

Step-by-step explanation:

If he has 26 now, he had 16 before he bought the 10 more. If he had 16, he would have had 32 before he sold half of them

6 0
3 years ago
Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on th
lubasha [3.4K]

Answer:

The last bit is correct, a2 + b2 = c2 for all right triangles? You do not divide the measurements you can only add up the squares to find the square of the hypotenuse as the sum, and then square root the totaled squares back to a new number. It does not cover the area like the statement said so only the question is true as Pythagoras theorem can be used to find a missing side or to find the missing hypotenuse.

Step-by-step explanation:

Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?

Answer yes but only for c2 if we area adding.

This is because if we were looking and missing for a smaller side to the triangle measure and was already given the hypotenuse as one measure, then we can subtract either given alternative side would be; c2 - b2 = a2 to find an alternative side we subtract.

and c2- b2 = a2 works the same as c2 -a2 = b2.

None of the above formula finds the area, for the area we would need to multiply to find the height.

A = 1/2 x a x b

We have a different understanding to area

The area of a triangle is 1/2 given by the equation:

AΔ=(1/2)∗(base)∗(height) which is the smae as A= 1/2 x a x b

Eg)

Given: Measurements of A + B In attachment picture.

A = 3 cm

B = 4 cm

What is the area of the right triangle ABC?

Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives:

AΔ=(1/2)∗3∗4=6cm2

So to find area we multiply A by 1/2 and multiply that product by the length of B (base).

5 0
3 years ago
Evaluate the expression x+2y when x=2 and y=−2.5.
kow [346]

Answer: -3

Step-by-step explanation:

If you plug in the numbers, the equation would look like: 2+2(-2.5)

Multiply 2 by -2.5 and you'll get -5 as your product. Add 2 and -5 together to get the sum of -3.

4 0
3 years ago
Read 2 more answers
There are
Archy [21]
17 books in total, and 8 new. To find the number of used books, we subtract 8 from 17.

17-8= 9 used books

Now we have 8 new books and 9 used books.

All books: 17
Used books: 9
New books: 8

(a) all books: used books
     17: 9

(b) new books: used books
     8: 9
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3 years ago
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What is the answer to (2x^2y)^3
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Answer:

8x^6y^3
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