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Lady_Fox [76]
3 years ago
7

Which equation below has a proportional relationship

Mathematics
1 answer:
andreev551 [17]3 years ago
7 0

Answer:

Ummm where is the options ?????

Step-by-step explanation:

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The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.
mafiozo [28]

Answer:

<em>Here is the complete question:</em>

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

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

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ c+d=270   ...equation (i)

Arranging the ratio:

⇒ \frac{4}{5} = \frac{d}{c}

⇒ 4c=5d

⇒ c=(\frac{5}{4})d    ...equation (ii)

Plugging (ii) in equation (i).

⇒ c+d=270

⇒ \frac{5}{4} d+d=270

⇒ \frac{5d+4d}{4} =270

⇒ 9d=270\times 4

⇒ d=\frac{270\times 4}{9}

⇒ d=120

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

a.

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

⇒ \frac{4}{5} \times 150

⇒ \frac{4\times 150}{5}

⇒ 120

Statement is true.

b.

4/5 of the pets at the farm are dogs.

⇒ \frac{4}{5} \times 270

⇒ 216

Number of dogs = 120

So the above statement is false.

c.

There are exactly 30 more cats than dogs.

⇒ c-d =30

⇒ 150-120=30

Statement is true.

d.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

e.

5/9 of the pets at the farm are cats.

⇒ \frac{5}{9} \times 270

⇒ 150

Statement is true.

So,

Statement  a,c and e are true as we could observe in the explanation.

8 0
3 years ago
M−2 over 4 =5 over 20
Ne4ueva [31]
m=3
Plug it in and it should work
3-2 =1 over 4 which is the same as 5 over 20 because both as a percentage equal 25% or 1/4 or 0.25 if you put it in a calculator as calculators provide decimal answers
5 0
3 years ago
Antonio gave 27 tomatoes to his neighbor and 15 to his brother. he had72 tomatoes before giving some away. how many tomatoes doe
SVETLANKA909090 [29]
At first he had 72 then he gave 27 to his neighbor  ( 27 subtract 72 = 45) and then he gave 15 to his brother  ( 45 subtract 15 = 30) 

he had 30 tomatoes left.
                                                                               
6 0
3 years ago
What is the area of this isosceles trapezoid 96 60 48 72
Lelechka [254]

Step-by-step explanation:

s3d4drks3ks2srddex5v5

4 0
3 years ago
Kevin’s bill at a restaurant was $26.51. He left a 15% tip. About how much tip did Kevin leave?
Rzqust [24]

about $4

multiply the bill by 15% to calculate tip

tip = $26.51 × \frac{15}{100} = 3.9765 ≈ $4


7 0
3 years ago
Read 2 more answers
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