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SVEN [57.7K]
3 years ago
5

the ratio of dogs to cats in the pet store is 3/5. how many cats are there in the store if there are 21 dogs

Mathematics
2 answers:
podryga [215]3 years ago
7 0
Let the number of cats be as x

Ratio = 3:5
3:5 = 21 : x
3/5 = 21/x
x= 21 * 5/3
x= 5* 7
= 35 cats..
borishaifa [10]3 years ago
5 0
X - the number of cats

The ratio of dogs to cats is 3:5, and there are 21 dogs.
\frac{21}{x}=\frac{3}{5} \\
3x=21 \times 5 \\
x=7 \times 5 \\
x=35

There are 35 cats in the pet store.
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Ann [662]

Answer:

h=30

Step-by-step explanation:

Volume of a cone=1540cm^{3}, Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is \frac{1}{3} \pi r^{2} h to find the height of a cone.

1540cm^{3} =\frac{1}{3}\pi r^{2}  h

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

1540cm^{3}=\frac{1}{3}*\frac{22}{7}  7^{2}h

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Move \frac{154}{3} to another side. 1540 divided by  \frac{154}{3} to calculate what is the value of h, h is the height of a cone. Like this.

\frac{1540cm^{3} }{\frac{154}{3} } =h

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Rearrange the h.

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I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

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Subtract. 5x^2-5x+1-(2x^2+9x-6)
Talja [164]
<h2>Hello!</h2>

The answer is:

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<h2>Why?</h2>

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

x^{2} +2x+3x=x^{2} +(2x+3x)=x^{2}+5x

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

5x^2-5x+1-(2x^2+9x-6)=5x^{2}-2x^{2}-5x-9x+1-(-6)\\\\(5x^{2}-2x^{2})+(-5x-9x)+(1-(-6))=3x^{2}-14x+7

Hence, the answer is:

3x^{2} -14x+7

Have a nice day!

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