Ask question

Ask question

All categories

xxTIMURxx [149]

3 years ago

13

An animal shelter wants their ratio of dogs to cats to be 3:2. If the animal shelter has 78 dogs, how many cats should they have

?
26 cats

156 cats

52 cats

117 cats

1 answer:

OleMash [197]3 years ago

4 0

The simplest way to do this is to set up equivalent fractions. So, you'd do:

$\frac{3}{2}$ = $\frac{78}{x}$ and then solve for x.

x=52

You might be interested in

The cost to write an ad in a news paper is $10 plus $0.25 per word. Write an inequality that can be used to find the maximum amo

MA_775_DIABLO [31]

Answer:

f(x)=10+0.25x

she can put maximum 20 words

Step-by-step explanation:

f(x)<=15

10+0.25x<=15

0.25x<=5

x<=20

8 0

3 years ago

Read 2 more answers

Change the subject of the formula L = v 4kt - p to k.

Romashka [77]

Answer:

$\boxed{k = \frac{L^2 + p}{4t}}$

General Formulas and Concepts:

<u>Algebra I</u>

Basic Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em /> $\displaystyle L = \sqrt{4kt - p}$

<u>Step 2: Solve for </u><u><em>k</em></u>
We can use equality properties to help us rewrite the equation to get <em>k</em> as our subject:

Let's first <em>square both sides</em>:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\\end{aligned}$

Next, <em>add p to both sides</em>:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\\end{aligned}$

Next, <em>divide 4t by both sides</em>:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\& \rightarrow \frac{L^2 + p}{4t} = k \\\end{aligned}$

We can rewrite the new equation by swapping sides to obtain our final expression:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow \boxed{k = \frac{L^2 + p}{4t}}\end{aligned}$

∴ we have <em>changed</em> the subject of the formula.

---

Learn more about Algebra I: brainly.com/question/27698547

---

Topic: Algebra I

6 0

1 year ago

What is the shape of the cross section of the figure that is perpendicular to the rectangular base and passes through the top ve

photoshop1234 [79]

Answer:

C. a triangle

Step-by-step explanation:

hope this helps c:

7 0

3 years ago

Read 2 more answers

The following table details the working populations, income tax rates, and average salary in equivalent US dollars) for

Ber [7]

Answer:

d.

Chile collects $10,805,998,234 more than Peru.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

If Y = 7, is the inequality true or false? Y + 3 < 12

Alenkasestr [34]

True because 7+3 is 10 and 10<12

4 0

3 years ago

Read 2 more answers