Answer:
The students mistake was that he took 31% of the new price and added it to the new price. He should have taken 69% of his new price and added it to his new price. The original price was $375.36
Step-by-step explanation:
Lets work it out and compare our work. Since its 31% off, the formula we need to use is original times percent off equals the new price. Let x equal the original.
x*.69=259
Divide both sides by .69
(x*.69)/.69=259/.69
Divide
x=375.36
The original price was $375.36
The students mistake was that he took 31% of the new price and added it to the new price. He should have taken 69% of his new price and added it to his new price.
Answer:
- Circumference
- Area
- Circumference
Step-by-step explanation:
Circumference would be if the situation is asking for the amount of something around the edge. For example, the number of tiles to be placed around the swimming pool would be asking for circumference.
Area would be if the situation is asking for the amount of something spread through the entire item. For example, the amount of water total in a swimming pool would be asking for area.
Hope it helps!
Answer:

Step-by-step explanation:
To solve for the quotient, perform long division with the polynomials and write a remainder if necessary.
_x___-2_______
x - 1 | x2 + 0x - 4
x2 - 2x
_______________
-2x - 4
-2x + 2
_______________
-2
So the solution is 
Answer:
A
Step-by-step explanation:
Take any two points on the line
(-4,0) and (0,-1) find the slope
slope= y2-y1/x2-x1

y-y1 = m(x-x1)
![y-0=\frac{-1}{4}[x-(-4)]\\\\y=\frac{-1}{4}(x+4)\\\\y=\frac{-1}{4}*x+4*\frac{-1}{4}\\\\y=\frac{-1}{4}x-1](https://tex.z-dn.net/?f=y-0%3D%5Cfrac%7B-1%7D%7B4%7D%5Bx-%28-4%29%5D%5C%5C%5C%5Cy%3D%5Cfrac%7B-1%7D%7B4%7D%28x%2B4%29%5C%5C%5C%5Cy%3D%5Cfrac%7B-1%7D%7B4%7D%2Ax%2B4%2A%5Cfrac%7B-1%7D%7B4%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-1%7D%7B4%7Dx-1)
Answer:
1. The surface area is
and the volume is
.
2. The diameter of the sphere is
.
Step-by-step explanation:
The surface area of a sphere is given by the formula

The volume enclosed by a sphere is given by the formula

where
is the radius of the sphere.
1. From the information given we know that the sphere has a radius of 18 inches.
The surface area is

and the volume is

2. The diameter of a sphere is given by
, where
is the radius of the sphere.
We know that the surface area is 2463 square centimeters. To find the diameter of the sphere first we need to find the the radius.

and the diameter is
