Answer:Smaller value is 4 yards.
The larger value is 6 yards.
Step-by-step explanation:
Let L represent the length or larger value of the rectangular plot.
Let W represent the width or smaller value of the rectangular plot.
The area of the rectangular field is expressed as
LW = 24 - - - - - - - - - - 1
The formula for determining the perimeter of the rectangular fence is expressed as
2(L + W) = 20
L + W = 20/2 = 10
Substituting L = 10 - W into equation 1, it becomes
W(10 - W) = 24
10W - W² = 24
W² - 10W + 24 = 0
W² - 6W - 4W + 24 = 0
W(W - 6) - 4(W - 6) = 0
W - 4 = 0 or W - 6 = 0
W = 4 or W = 6
Substituting W = 4 and W = 6 into
L = 10 - W, it becomes
L = 10 - 4 or L = 10 - 6
L = 6 or L = 4
Answer:
C. 75mL
Step-by-step explanation:
Let's find the solution.
Let's consider that the stock solution is XmL.
Also let's consider than the amount of diluent required is Y.
Because we need to add YmL to the stock solution to obtain a 100mL solution, then:
X+Y=100 which can be written as:
X=100-Y (eq. 1)
Now, the stock solution is 80% which means:
0.8=n/X where n is the solute, which can be written as:
n=0.8X (eq. 2)
Because we are trying to make a 100mL of a 20% solution then:
0.2=n/100, using eq. 2 we have:
0.2=(0.8X)/100, using eq. 1 we have:
0.2=0.8*(100-Y)/100
0.2*100/0.8=100-Y
25=100-Y
Y=100-25=75
In conclusion, we need to add 75mL, so the answer is C.
Answer:
you could fit 48 cubes with side lengths of 1/3 inside a rectangular prism with dimensions of 1cm x2 2/3cm x 2/3cm.
-2+2+x=-x+2+2
x=-x+x+4
2x=4
x=2