If there were 180 taking the survey and 95 were female, that means that there were 85 males.
Since only 21 of the males said red was their favorite color, we can write the fraction 21/85.
21 / 85 x 100 = 24.7%
24.7% of the males said red was their favorite color.
1. Solve the bracket 4×x and 4 × -7
4x-28=2x-6
2. Get the x on one side and the numbers on the other so: first +28
4x=2x+22 now -2x
so 2x=22 and now you only need to divide into 2
x=11
168cm2
Let r cm be the radius of the balloon, then
<span>2pi(r)=23=>r=23/(2pi) </span>
<span>The surface area= </span>
<span>4pi(r^2)= </span>
<span>4pi[23/2pi)]^2= </span>
<span>(23^2)/pi=168.386 cm^2 </span>
<span>approximately.</span>
We need the perimeter of the window for framing
The window is in the shape of a rectangle with the height of

feet and width of

. The diagram of the shape is shown below
The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.
The perimeter of the window is

=
We have two whole numbers 18 and 12 and two fractions

and

Adding the two fractions that have different denominator

, which is an improper fraction which we can change into a mixed number

So the perimeter of the window is
and the length of wood needed for the frame is

feet
The transformed equation is:

Step-by-step explanation:
We have to convert the equation in the form

Given equation is:

Adding 8 on both sides

In the given equation
a = x
b= ?
So,

So 3^2 will be added on both sides

Hence,
The transformed equation is:

Keywords: Quadratic equation, transformation
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