Answer:
![6x^{3} + 11^{2} - 4x -9](https://tex.z-dn.net/?f=6x%5E%7B3%7D%20%2B%2011%5E%7B2%7D%20-%204x%20-9)
Step-by-step explanation:
i)
Answer: x=
−2
3
y+20
Step-by-step explanation
240=12x+8y
Step 1: Flip the equation.
12x+8y=240
Step 2: Add -8y to both sides.
12x+8y+−8y=240+−8y
12x=−8y+240
Step 3: Divide both sides by 12.
12x
12
=
−8y+240
12
x=
−2
3
y+20
Answer:
x=
−2
3
y
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= ![w\times l\times h](https://tex.z-dn.net/?f=w%5Ctimes%20l%5Ctimes%20h)
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒ ![8,680= w\times l\times 28](https://tex.z-dn.net/?f=8%2C680%3D%20w%5Ctimes%20l%5Ctimes%2028)
cross multiplying
⇒ ![wl= \frac{8680}{28}](https://tex.z-dn.net/?f=wl%3D%20%5Cfrac%7B8680%7D%7B28%7D)
∴ 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= ![wl](https://tex.z-dn.net/?f=wl)
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.
Answer:
She is going 1mph
Step-by-step explanation:
each lap is 1/4 of a mile and 1/4 of an hour so 4 laps = 1 mile and in 1 hour