Answer:
m=-12
Step-by-step explanation:
Not sure where the 8 comes from, but you would subtract 9 from the left side. The result is -12.
The ratio 4 to 7. would be 12 and 21
Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
Answer:
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
Step-by-step explanation:
Given that:
Fee charged by Fun Reads Bookstore = $40
Charges per book = $5
Let x be the number of books.
A(x) = 5x+40
Fee charged by Cool Covers Bookstore = $100
Charges per book = $2
B(x) = 2x+100
For making Cool Cover Bookstores club a better deal,
B(x) > A(x)
2x+100 > 5x+40
2x-5x > 40-100
-3x > -60
Dividing both sides by -3
Hence,
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
