Yes- though we may say "When will we ever use this?" ever so often in class, the reality is that we use mathematics in everyday life. From simple addition, to factoring, to finding the angles of various components to a building, math is always being used in real life.
Answer:
The answer to your question is the big dog weighs 120 pounds
Step-by-step explanation:
Data
big dog = b
medium dog = m
small dog = s
Equations
b = 5s
m = 12 + s
s = 2/3 m
Process
1.- Substitute m in the last equation
s = 2/3(12 + s)
s = 24/3 + 2/3s
s - 2/3s = 8
1/3 s = 8
s = 8(3)
s = 24 pounds
2.- Substitute s in the first equation
b = 5(24)
b = 120 pounds
14
You are taking away 6 each time
Set up a proportion like this

=
So your proportion would be:

We put x for offices because they are asking for the number o offices a crew can paint in 12 hours, and also we don't know the number of offices they can paint in 12 hours
so we cross multiply and we get
6x=60, we got 60 by multiplying 12 and 5
Now we divide both sides by 6 and we get
x=10
S the crew can paint 10 offices in 12 hours.
Answer:
1064 m²
Step-by-step explanation:
The surface area of the prism can be gotten by saying
14 * 14 + 14 * 14 + 14 * 24 =
196 + 196 + 336 =
728 m²
Again, after dealing with the rectangle, we then face the triangle.
Area of triangle is
1/2 * 14 * 24
There are 2 triangles so this makes it
2 * 1/2 * 14 * 24 =
336
The surface area is finally
336 + 728 = 1064 m²
Surface area of the triangular prism has been calculated to be 1064 m²