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:
s = 6 cm
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length )
given A = 36 , then
s² = 36 ( take square root of both sides )
s = 
= 6
Yes, 3/4 is bigger than 3/5.
One way you can verify this is by drawing a bar model, and cut it into four. Color in three pieces.
Then, draw another bar model the same size as the first one, and cut it into five pieces.
Color in three pieces.
You can see that 3/4 has more shaded in area than 3/5.
Another way you can do this is by dividing the numerator by the denominator for both fractions.
Hope this helped.
Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Answer:
Step-by-step explanation:
9(y = 1/9x + 5)
9y = x + 45
-x + 9y = 45
x - 9y = -45
