Recall that

. So we can add twice the first equation to the second one to get

Since

, we have

so

If

, then

If

, then

So the solution set is
Answer:Length: 27m
Step-by-step explanation:
- the formula of area of rectangle is : width*length
- so we just replace the values in the formula
- 162=6*Length
- Length=162/6
- Length=27m
Answer:46
Step-by-step explanation:
Answer:
310 inches²
Step-by-step explanation:
Given: A rectangular prism cage has a height of 28 inches.
Volume of prism is 8680 cubic inches.
We know the area of base of rectangular prism is equal to the area of rectangle.
∴ Lets find out the lenght and width of rectangular prism.
Volume of rectangular prism= 
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒ 
cross multiplying
⇒ 
∴ wl= 310 inches²
As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.
Area of rectangle= 
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.
answer: D = 1
Isolate the variable by dividing each side by factors that don't contain the variable. 7 (2d - 1) + 5 (2 - 3d) = 2d