1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katen [24]
3 years ago
10

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. The number of dogs is 4/

5 the number of cats. True or false?
Mathematics
2 answers:
velikii [3]3 years ago
6 0

Answer:

The statement is true

Step-by-step explanation:

Total number of animals on the rescue farm = 270 animals

The given ratio of dogs in the farm is 4

The given ratio of cats in the farm is 5

To find the number of dogs on the farm,

= 4 / (4+5) × 270

= 4 /9 × 270

= 120

Therefore the number of dogs on the farm = 120.

To find the number of cats on the farm,

= 5/ (4+5) × 270

= 5/9 × 270

= 150

Therefore the number of cats on the farm = 150

The number of dogs is 4/5 the number of cats.

Let's confirm the statement above.

Number of cats as calculated above = 150

Therefore,

The number of dogs = 4/5 × number of cats

The number of dogs = 4/5 × 150

The number of dogs = 120

Therefore, the statement :

"The number of dogs is 4/5 the number of cats" is a true statement.

ale4655 [162]3 years ago
4 0

Answer:

True

Step-by-step explanation:

In this question, we are expected to evaluate the validity of a particular proposition.

To evaluate this validity, what we do is that we check if the calculations as projected on the question are correct.

Let’s proceed!

Number of dogs to cat ratio = 4:5

Number of animals is 270;

Number of dogs will be 4/9 * 270 = 120

Number of cats will be 5/9 * 270 = 150

Now let’s check if the number of dogs is 4/5 that of cats.

Obviously 4/5 * 150 = 120

This makes true, the statement

You might be interested in
Use the linear combination method to solve the system of equations. â€"2. 1x 4y = 5. 3 2. 1x â€" 5. 5y = â€"0. 2 What is the sol
RoseWind [281]

The solution to the systems of equations is (7, 3)

Given the systems of equations expressed as:

-x + 4y = 5 ....................1

x - 5y = -2 ...................... 2

Add both equations to have:

-x+x + 4y - 5y = 5 - 2

4y-5y = -3

-y = -3

y = 3

Substitute y = 3 into equation 1:

-x + 4(3) = 5

-x + 12 = 5

-x = 5 - 12

-x = -7

x = 7

Hence the solution to the systems of equations is (7, 3)

Learn more on simultaneous equations here: brainly.com/question/148035

4 0
2 years ago
Help with following questions please.
s344n2d4d5 [400]
You need 2-7 all answered ?
5 0
3 years ago
What is the absolute value of │38│
ale4655 [162]

Answer:

38

Step-by-step explanation:

if there are bars around it its automatically positive even if it was -38 the absolute would still be 38.

7 0
2 years ago
Read 2 more answers
A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the
sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100           ........A

<u>Again</u>

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600             .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴  b = \dfrac{600}{10}

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0
2 years ago
OKAY HELP ME!! I have my answer but I need to know if it's correct!!!
Pavlova-9 [17]

Answer:

D=8p

David (d) is equal to 8 times the number of photographs Gary (p) has.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • How many solutions does the system have? y=−2x+1y=−2x2+1?
    10·2 answers
  • $4 notebooks are on sale. He wants to buy for his students but he only have $12 to spend. How many notebooks can he buy?
    14·2 answers
  • OK before from the playing golf. The total cost of the round of golf is $108. Each person in the group has the same coupon. The
    13·1 answer
  • What is the point of intersection when y=4-x 2y=8-2x
    13·1 answer
  • 305/453 what is the percent to the neriest tenth
    8·2 answers
  • How do I complete the square for 4x^2+ 8x-5= 0?
    15·2 answers
  • you are selling pandesal to raise money for a school field trip. Pandesal with cheese cost 8.00 pesos and ube pandesal cost 9.00
    12·1 answer
  • A shoe store buys a pair of boots from a supplier for $45. The store's manager decides on a markup of 35%. What is the new price
    7·1 answer
  • In the figure shown, r || s. If the measure of ∠ 2 = 146°, what is the measure of ∠ 7
    10·1 answer
  • D) x + y = 42 X-6 = 5 (-6)​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!