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1 year ago

The ratio of cats to dogs in the shelter is 2:3. If there are 8 cats, how many dogs are there?

Mathematics

2 answers:

erastova [34]1 year ago

8 0

Answer:

See below

Step-by-step explanation:

cats = 2 dogs = 3

8 is to 2 as x is to 3

8/2 = x /3 where x = # of dogs

x = 8/2 * 3 = 12 dogs

maxonik [38]1 year ago

4 0

12, for every 2 cats there are three dogs. 8/2 is four. you multiply 3 times 4 to get 12

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landon wants to show that the product of rational numbers is always a rational number. complete his work and explanation by fill

lubasha [3.4K]

Multiply √2 by √72. The product is a rational number because √144 can be simplified to an integer.

Step-by-step explanation:

As Landon has to prove that two product of two rational numbers, he has to choose two rational numbers from the list and then multiply and show that the product is also a rational number.

Let us define the rational numbers first

A number that can be written in the form of p/q where p,q are integers and q is not equal to zero, is called a rational number.

From the give =n list of rational numbers

Taking

√2 and √72

$\sqrt{2} * \sqrt{72}\\=\sqrt{2*72}\\=\sqrt{144}\\=12\\=\frac{12}{1}$

As we can see that the product of √2 and √72 is 12 which is also a rational number.

So,

Multiply √2 by √72. The product is a rational number because √144 can be simplified to an integer.

Keywords: Rational numbers, Product

Learn more about rational numbers at:

#LearnwithBrainly

7 0

3 years ago

Help 100 points and brainiest angles of elevation and depression Round to nearest tenth

LenKa [72]

Answer:

w h a t

Step-by-step explanation:

Sorry no one answered :(

5 0

2 years ago

Which are the solutions of x2 = –5x + 8?

Nostrana [21]

Answer:

As exact answers:

$x=\frac{-5-\sqrt{57} }{2}$ and $x=\frac{-5+\sqrt{57} }{2}$

As decimal answers:

x = -6.2749172 ≈-6.3

x = 1.27491722 ≈ 1.3

Step-by-step explanation:

For quadratic equations, you can use the quadratic formula. Rearrange the equation to standard from, which is ax² + bx + c = 0.

x² = –5x + 8

x² + 5x - 8 = 0

State the values for "a", "b" and "c",

a = 1; b = 5; c = -8

$x=\frac{-b±\sqrt{b^{2}-4ac} }{2a}$ (Ignore the Â, it's a formatting error)

$x=\frac{-5±\sqrt{5^{2}-4(1)(-8)} }{2(1)}$ Simplify

$x=\frac{-5±\sqrt{25-(-32)} }{2}$ Two negatives make a positive

$x=\frac{-5±\sqrt{57} }{2}$

Split the equation at the ± for plus and minus:

$x=\frac{-5+\sqrt{57} }{2}$ = 1.27491722 ≈ 1.3

$x=\frac{-5-\sqrt{57} }{2}$ = -6.2749172 ≈ -6.3

Therefore the solutions are 1.3 and -6.3.

6 0

3 years ago

Find a cartesian equation for the curve. r = 9 sin(θ)

Paul [167]

For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81

6 0

2 years ago

^^^^^^^^^^^^^^^^^^^^

telo118 [61]

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

$- \frac{10}{19} \div ( - \frac{5}{7} )$