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notsponge [240]
2 years ago
12

The ratio of dogs to cats at the pet stores 1:3. If there are 6 more cats than Dogs, how many dogs are the pet store?

Mathematics
2 answers:
klemol [59]2 years ago
8 0

Answer:

3

Step-by-step explanation:

stealth61 [152]2 years ago
3 0

There are three dogs at the pet store

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Determine which statement uses an invalid argument.
Helga [31]
A. because in A, it flips the two conditions, which can changes the accuracy of the statement.
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3 years ago
Read 2 more answers
The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

5 0
3 years ago
Question 1 of 10 Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What
dangina [55]

Hey there!!

The question states that a sum is invested which is $3000 and hence, this would be counted as the principle amount or the principle sum.

The term given is 3 years, which gives us the idea that this interest is being counted or being active for 3 years.

She ( Diana ) earned the sum $450 at the end of three years. This means, the simple interest is $450.

Never get confused with the principle amount, principle sum and interest.

<u><em>Principle amount = Principle sum + The interest. </em></u>

Formula given :

I = prt

'p' is denoted as the principle sum, r is the rate and the t is the term or the number of years.

Now, plugging in all the values :

... <em>450 = 3000×r×3 </em>

... <em>450 = 9000×r </em>

... <em>r = 450 / 9000</em>

... <em>r = 0.05 </em>

... <em>r = 5% </em>

As we need the answer in the decimal form, the answer would be <em><u>0.05</u></em>

Hope my answer helps!!<em> </em>

4 0
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A living room has a circular rug. According to a small tag, the rug has a circumference of 6.28 yards. What is the rug's radius?
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Answer:

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Step-by-step explanation:

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