Step-by-step explanation:
it's explained in the solution
Answer:
2
Step-by-step explanation:
5x - 10 = 0
+10 +10
5x = 10
/5 /5
x = 2
Answer:
Width = 11 yards
Length = 17 yards
Step-by-step explanation:
First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.
We know the area of a rectangle is A = width x length
For our case 187 = w . (w + 6)
Using the Distributive Property for the multiplication we obtain


Using the quadratic formula
where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:


We have two options: 
Or
But a distance (width) can not be negative so, this answer for w must be discarded.
The answer must be width = 11 yards.
To find the length 
Let the no of large frames bought be X
Then the no of smaller frames bought will be (17 - X )
Cost incurred = 14X + 5( 17 - X) = 130
14X + 85 - 5X = 130
9X = 45
X = 5
Answer 5 large frames and 12 small frames
Check
5X14 = 70
12X5 = 60
ADD = 130$
Answer:
8.4
Step-by-step explanation:
In similar triangles, corresponding measures are proportional.
FG/FJ = ST/SH
FG = FJ×ST/SH = 7×6/5 . . . . solve for FG, put in given values
FG = 8.4