We solve for the area of the original triangle and solution is shown below:
Original triangle area = LW = 5*10 = 20 squared units
If we extend this x on one side that resulted to L-shaped, we have the new area such as shown below:
New area = (L+X) (W)
126 = (5+x) * 10
126/10 = 5+x
12.6 - 5 = x
7.6 =x
I. The equation that could be used to solve for x is below:
126 = (5+x)*w
II. We arrived on this because of the statement that "x is added to one side that resulted to L-shaped rectangle, therefore it is added on 5 ft side"
III. The value of x is equal to 7.6 ft.
substitute the values for the letters
2(-17) = -34
3(-4) = -12
-34 - -12 = -34 +12 = -22
-22 is not greater than 12 so it is not a solution
Width of a rectangle is half its length:
2w = l
Perimeter is 36
2w + 2l = 36
Plug first equation into second (substitution)
2w + 2(2w) = 36
2w + 4w = 36
6w = 36
w = 6
Plug back into first equation to solve for l
2(6) = 12 = l
Answer: 7 clients
Step-by-step explanation:
Of the last 10 clients that cut their hair at the salon, 5 had blond hair.
That is a proportion of:
= 5 / 10
= 1/2
Assuming this same proportion applies to the next clients Sue gets, the expected number of blonde people will be:
= Number of clients * 1/2
= 14 * 1/2
= 7 clients
