A rectangular garden has a walkway around it. The area of the garden is 4(5.5x + 2.5). The
1 answer:
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Answer: y=1/2x-1
Step-by-step explanation:
To find the equation of the line that passes through the points, we need to find out slope, m.
We plug our points into this formula to find slope.
Our slope is 1/2. To find our y-intercept, b, we would plug any point into the equation for slope-intercept form.
y=mx+b
y=1/2x+b
1=1/2(4)+b
1=2+b
b=-1
Now that we know b, our equation is y=1/2x-1.
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.