At a bus stop station, buses deport at a rate of 3 every 10 minutes. At this rate how many buses would depart in one hour.
2 answers:
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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:
⇒ ...equation (i)
Arranging the ratio:
⇒
⇒
⇒ ...equation (ii)
Plugging (ii) in equation (i).
⇒
⇒
⇒
⇒
⇒
⇒
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.
⇒
⇒
⇒
Statement is true.
b.
4/5 of the pets at the farm are dogs.
⇒
⇒
Number of dogs = 120
So the above statement is false.
c.
There are exactly 30 more cats than dogs.
⇒
⇒
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.
⇒
⇒
Statement is true.
So,
Statement a,c and e are true as we could observe in the explanation.
Answer:
<h2>D</h2>Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about</h3>- inequality
- algebra
- PEMDAS
first note: it will be more easy if we solve the inequality first
so let's solve it together
so what we get
we get that x is greater than 12
<h2>so the answer would be d</h2>