Answer:
Distribute:
=(
3
4
)(2x)+(
3
4
)(−6)+(−2)(
1
2
x)+(−2)(1)+−1+5x
=
3
2
x+
−9
2
+−x+−2+−1+5x
Combine Like Terms:
=
3
2
x+
−9
2
+−x+−2+−1+5x
=(
3
2
x+−x+5x)+(
−9
2
+−2+−1)
11
2
x+
−15
2
Step-by-step explanation:
Answer:
t = 2.58333
Step-by-step explanation:
use the distributive property:
200 = 16(6t - 3)
multiply the 16 to each value in the parenthesis:
200 = 96t - 48
now add 48 to both sides:
200 = 96t - 48
+48 + 48
248 = 96t
now divide each side by 96:
248/96 = 96t/96
t = 2.583333
decimal form: 2.5833333
mixed number: 
The first thing we must do for this case is to find the scale factor based on the dimensions of the figures.
The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter than the next larger figure.
We have then that the smallest figure has a height of 1 inch.
The scale factor is:
k = (smallest figure) / (largest figure) = 1/7
k = 1/7
The surface area of the smaller figure is:
A = k ^ 2 * (A ')
Where
A ': surface area of the largest figure.
Substituting:
A = (1/7) ^ 2 * (588)
A = 12 in ^ 2
Answer:
The surface area of the smallest figure is:
A = 12 in ^ 2
We know that to find the area of the entire circle, we are going to use the equation:

And we know that the diameter is 12. To find the radius, we divide the diameter by 2, so 12/2 = 6. So the radius is 6.
Now we can use this radius in the equation:


Since all of the angles of each section are equal, we can assume that each of the sections has an equal area. There are 5 sections, so we need to divide
by 5 to find the area of each section:

Each section has an area of
or, using 3.14 for pi,
.
Since we are told to find the area of the blue sections, we know that there are 2 sections that are blue. So we need to multiply the area of each section by 2, to find the area of two of the sections:

Therefore, the answer is C) 45.2
.
If u^ -3 = 1/125 then U ^ 3 = 125 ⇒ U = 5 :D i hope this help