Let's write an equation and solve for x
12 1/2 = 5x + 3 1/3
rewrite the mixed fractions as improper fractions and with denominator 6
75/6 = 5x + 20/6
subtract 20/6 from both sides
55/6 = 5x
divide both sides by 5 to isolate x
11/6 = x
That is 1 and 5/6 pounds per each of the friends
To check:
<span>12 1/2 =?= 5(1 5/6) + 3 1/3
12 1/2 =?= 55/6 + 3 1/3
12 1/2 =?= 25/2
12 1/2 = 12 1/2
Hope this helps</span>
Since the transformation occurring is rotation at 180
degrees about the origin, then the resulting image would be a reflection of the
original image. Additionally, since the rotation is 180 degrees, then there is
a movement of 2 quadrants for the corners A, B and C.
<span>Therefore this would also mean that if point A is in
coordinate (x, y) then point A’ would be in coordinate (-x, -y). Similar is
true with point B and point C and their corresponding reflection corners point
B’ and point C’. So for example if point A is located at (-5, 3) then point A’
must be at (5, -3).</span>
(x+4)²= (x+4)×(x+4)
Use the FOIL method to simplify
F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)
x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16
Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x
Final expression= x² + 8x + 16
It is important to do the
calculations very carefully. Otherwise there is nothing complicated about this
problem.
Let us assume the unknown number = x
Then
40x/100 = 55
40x = 55 * 100
40x = 5500
x = 5500/40
= 550/4
= 137.5
So
55 is 40% of 137.50. I hope the procedure is clear to you and in future
you can solve such problems on your own without requiring any help from
outside.This is the simplest way of solving such
problems.
