"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as
x
100
.
Therefore we can write an equation as and solve for
x
:
x
100
=
5
6
100
×
x
100
=
100
×
5
6
100
×
x
100
=
500
6
x
=
83
.
¯
3
5
6
=
83
.
¯
3
%
or
83
1
3
%
Answer:
5x and 6x both have the letter x. Let's combine them! 5x+6x = 11x
y, y, and 3y all have the letter y. You can imagine y to be 1y, they're the same.
1y + 1y + 3y = 5y
4, 6, and 2 don't have any letters. 4 + 6 + 2 = 12
Now you have to put all the final terms together to get: 11x + 5y +12
Step-by-step explanation:
Step-by-step explanation:
Cubes have square faces, so the area of the base is b².
The volume of the cube is b³.
The height of each pyramid is half the height of the cube, so h = b/2. Which means b = 2h.
The cube is made of 6 square pyramids with the same base and height. Therefore, each pyramid has 1/6 the volume of the cube. So the volume of each pyramid is b³/6.
Answer:
x=5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
9 15
------ = ----------
2x-1 3x
Using cross products
9*3x = 15(2x-1)
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x -15
-3x = -15
Divide by -3
-3x/-3 = -15x/-3
x = 5
