Noah built a fenced dog run that is 8 yards long and 5 yards wide. He placed posts at every corner and every yard along the leng
1 answer:
Answer:
The question is not complete, below is the completed question
Noah built a fenced dog run that is 8 yards long and 6 yards wide. He placed posts at every corner and every yard along the length and width of the run. How many posts did he use?
Answer
There are 28 posts in total
Step-by-step explanation:
Attached to this answer is a picture showing the fenced dog run and the position of the posts.
The number of posts is determined as follows:
Number of posts for the four corners = 4 posts
Number of posts for the 8-yard side = 7 posts
<em>N:B </em><em>There are 7 posts instead of 8 posts because one post has been counted as a corner post already, hence we will not count it twice.</em>
∴ Total number of posts for both 8-yard sides = 7 × 2 = 14 posts
Number of posts for the 6-yard sides = 5 posts (same reason as above)
Ttal number of posts for both 6 yard sides = 5 × 2 = 10 posts.
Total number of posts = 4 + 14 + 10 = 28 posts
∴ There are 28 posts in total
You might be interested in
Answer:
see the procedure
Step-by-step explanation:
Let
x ----> the number of dogs
y ---> the number of cats
we know that
The ratio of the number of dogs to the number of cats is 4:5
so
----> equation A
That means ---> The number of dogs is 4/5 the number of cats
There are 270 animals on the rescue farm
so
----> equation B
Substitute equation A in equation B
solve for y
Find the value of x
<u><em>Verify each statement</em></u>
a) The number of dogs is 4/5 the number of cats
The statement is true (see the explanation)
b) 4/5 of the pets at the farm are dogs
The statement is false
Because
(4/5)(270)=216 dogs
The number of dogs is 120 not 216 (see the explanation)
c) There are exactly 30 more cats than dogs
The statement is true
Because, there are 150 cats and 120 dogs (see the explanation)
d) There are exactly 30 dogs at the farm
The statement is false
Because, there are 120 dogs in the farm (see the explanation)
e) 5/9 of the pets at the farm are cats
The statement is true
Because
(5/9)270=150 cats
The number of cats is 150 (see the explanation)
Answer:
Step-by-step explanation:
Let
x -----> the number of hours that the painter works
we know that
The inequality that represented this situation is equal to
solve for x
Subtract 60 both sides
Divide by 15 both sides
The maximum number of hours is 2