Ask question

Ask question

All categories

2 years ago

15

The ratio of cats to dogs at the animal shelter is 2:5.If there are 35 animals total,how many cats are there?

1 answer:

marissa [1.9K]2 years ago

7 0

Set up a proportion to describe this relationship. So, for every 2 cats, there is five dogs. Therefore, “c” can represent your unknown quantity for every 35 animals.

2/5 = c/35

Cross multiply, multiplying the numerator/top number of the first fraction/ratio, by the denominator/bottom number in the second fraction/ratio.

2 • 35 = 70

Then, Cross multiply, multiplying the numerator/top number of the second fraction/ratio, by the denominator/bottom number in the first fraction/ratio.

C • 5 = 5c

So, now the problem shows both products as equal to each other.

70 = 5c

To solve for the variable, “c”, you must isolate the variable, by performing the opposite/inverse operation of multiplication, since that will undo the multiplication, for the variable to stand alone. Therefore, divide both sides of the equation by 5.

70/5 = 5c/5

14 = c

So, there is 14 cats out of 35 animals.

You might be interested in

I need help on answering this question

liubo4ka [24]

Answer:

<h2>The answer is 72°</h2>

Step-by-step explanation:

Since < RQS = < QLK and < RQS = x

< QLK is also x

< QLK and < KLM lie on a straight line

Angles on a straight line add up to 180°

To find x add < QLK and < KLM and equate them to 180°

That's

< QLK + < KLM = 180°

x + x - 36 = 180

2x = 180 - 36

2x = 144

Divide both sides by 2

We have the final answer as

<h3>x = 72°</h3>

Hope this helps you

7 0

3 years ago

Find the equation of the line using the point-slope formula.

irina [24]

Answer:

9x-7y+28=0

Step-by-step explanation:

using formula

y-y1=m(x-x1)

y-4=9/7(x-0)

7y-28=9x

9x-7y+28=0

7 0

2 years ago

A tree house costs $400. You plan to save $10 each week. Your parents will help pay $60 of the cost. Your savings plan can be mo

lisabon 2012 [21]

If it is in the form of y=mx+b then the answer would be y=34x+60

5 0

3 years ago

Read 2 more answers

when Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t

Scrat [10]

Answer:

The amount of floor Mrs.Stewart needs for $5$ cups of shortening $=\frac{75}{4} =18\tfrac{3}{4}$ cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs $\frac{2}{3}$ cups of shortening for $2\tfrac{1}{2}=\frac{5}{2}$ cups of flour.

Now we assume that the shortening needed for $x$ cups of flour is $y$ cups.

Accordingly we can arrange the ratios.

$\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}$

Plugging the value of $y=5$ as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with $5$ ,we have

Number of cups of flour (x) $=\frac{x}{y} =\frac{5/2}{2/3}$

So (x) $=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}$

The amount of floor Mrs.Stewart needed for $5$ cups of shortening = $18\tfrac{3}{4}\ cups$ .

3 0

3 years ago

william was taking a math test he spent 3/4 of the class time on the test. when he turned it in he noticed there was 13 minutes

Gemiola [76]

Answer:

47 minutes

Step-by-step explanation:

3/4 of an hour is 45 minutes which makes 15 minutes remain and if it is 13 minutes left the 45 + 2 is 47

7 0

2 years ago