Given :
A trailer will be used to transport several 40-pound crates to a store.
The greatest amount of weight that can be loaded into the trailer is 1,050 pounds.
An 82-pound crate has already been loaded onto the trailer.
To Find :
The greatest number of 40-pound crates that can be loaded onto the trailer.
Solution :
Weight left = 1050 - 80 = 970 pound.
Let, number of 40 pounds crates that can be loaded are x.
Since, crate cannot be in fraction, so maximum crate that can be loaded is 24.
Hence, this is the required solution.
4x - 3 = 9
4x = 9 + 3
4x = 12
x = 3
hope that helps, God bless!
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*(3*x-7)+18-(10)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2 • (3x - 7) + 18) - 10 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
6x - 6 = 6 • (x - 1)
Equation at the end of step 3 :
6 • (x - 1) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
One solution was found :
x = 1
9514 1404 393
Answer:
779.4 square units
Step-by-step explanation:
You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.
One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...
A = (1/2)r²sin(α)
Since there are n such triangles, the area of the n-gon is ...
A = (n/2)r²sin(360°/n)
__
For a hexagon (n=6) with radius 10√3, the area is ...
A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units
1.) Start by figuring out what the 4x3 grid would look like. In this grid, we have 12 boxes (4 x 3 = 12).
2.) Now let's calculate 25% of 12. When changing a percent to a decimal, simply move the decimal point over to the left two places. So then 25% = .25 when written as a decimal. Multiply 25 x 12. 25% of 12 equals 3.
3.) Now your grid would have 3 boxes shaded in. I put two examples of this in the attached image. However, your boxes can be shaded in anywhere in the grid, as long as only 3 of them are shaded in!
