Answer:
x = 8
Step-by-step explanation:
4x - 32 = 0
4x = 0 + 32
4x = 32
x = 32/4
x = 8
Answer:
Hi there!
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.
Apothem: a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
The formula for the volume of a sphere is V=(4/3) (pi) r^3. if r is doubled then you get 2r as the radius and V=(4/3) (pi) * 8r^3 so the volume is eight times bigger than the original r value. if r is tripled the r =3r and (3r)^3 so the volume is 27 times bigger. If r is multiplied by n the radius is nr and (nr)^3 =n^3 r^3, Therefore, the volume is n^3 times bigger than the original.
Answer:
1365 rupees
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is via the method of proportions. One can use a proportion to find the original price of the watch. Then one can find the price of the watch if the watch had a (30%) mark up, by using a proportion.
2. Find the original price
Remember, the general format of a proportion is the following:

The following information is given:
The watch sold for (1260) rupees which is (120%) of the original price. Remember, there was a (20%) gain, meaning that the seller recovered (120%) of the price, in essence, the price of the watch, plus (20%) extra, thus (120%). Substitute these values into the proportion and solve,


Simplify,


Cross product,


Simplify,


Inverse operations,


3. Find the price if the mark up is (30%)
Now, one knows the original price of the watch. Set up a proportion to find the price of the watch if there is a (30%) mark up. Use the same logic to set up this proportion as was used to set up the last one. The (percent) will be (130%) because the new price of the watch is (130%) of the original watch.

Substitute,


Simplify,


Cross products,


Simplify,


Inverse operations,


Thus, the price after the (30%) is (1365) rupees.