Help on Number 8? I know Y=5 and the slope is undefined and x=2 but I don’t know what to do now.
1 answer:
To find the slope, use the equation of a line:
Plug in the values for x and y:
We know that 2 can fit into 5 twice, which means 2*2 is 4.
We now have .
If 5 is b more than 4, then this means that 4 is b less than 5. Subtract 4 from both sides, and you will have b = 1.
This means your equation is y = 2x + 1.
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Answer:
9 yards
Step-by-step explanation:
Let the length of each quilt be 'l'.
Given:
Length of green felt (g) = 15 yards
Length of blue felt (b) = 12 yards
Total number of quilts = 3
Now, the length of 3 quilts is given as:
----- (1)
As per question:
Total length = Length of green felt + Length of blue felt
Total length =
--------- (2)
Now, comparing equations (1) and (2), we get:
Hence, each quilt measures 9 yards in length.
Answer:
200 resource books
800 fiction books
400 nonfiction books
Step-by-step explanation:
Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.
We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.
We just need to find out the value of x.
We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.
Written in math language, that is
x + 4x + 2x = 1,400
7x = 1,400
We divide by 7 on both sides and we get
7/7x = 1,400/7
x = 200
Now we replace the x with 200 to know how many books he has of each type:
Resource books = x = 200
Fiction books = 4*x = 4*200 = 800
Nonfiction books = 2*x = 2*200 = 400
Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.
The tape diagram is attached as an image.
