In order to solve an equation for a variable, we need to isolate that variable on one side of the equation (either left side or right side).
Following are some steps to solve equation/inequality in one variable:
1) Get rid constant number from on side by applying reverse operation of addition or subtraction.
2) Get rid variable terms from other side by applying reverse operation of addition or subtraction.
3) Combine like terms on both sides.
4) Get rid any coefficent ( a number in front of a variable) by dividing from both sides.
5) Finally you get a variable on one side and solution on other side.
Answer:
Circumference ≈ 50.27
Area ≈ 201.06
Step-by-step explanation:
The circumference of a circle is
while the area of the circle 
Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 ×
× 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be
× 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)
It’s a black picture. We can’t help with that
Answer:
10.5 %
<u>Skills needed: Financial Math Essentials</u>
Step-by-step explanation:
1) First, before getting started, let's assume the price of the product is
. This variable will be used a lot throughout the problem (
).
2) Marking a price above means increasing the price in order to make money off of the purchased product. When raising something by
percent, the new price would be
.
---> In this case, the price increased by
percent.
This means that it would be: 
New price is: 
3) The shopkeeper is then offering a
percent discount off of this marked price. When offering a
percent discount price, the new price (with discount), expressed algebraically is: 
---> the expression above simplifies to 
In this case,
, 
---> 
This means that
, with discount, has been raised
.
10.5 % is the profit percent
(The profit percent being the final marked up price - purchased price)
Answer:
102 mg
Step-by-step explanation:
Let's convert 28 pounds to kgs.
Since 1 kg = 2.2 pounds, we can find:

So 28 pounds is 12.73 Kg
Since 8mg is given per kg, for 12.73 kg, the amount given should be:
12.73 * 8 = 101.84
Rounded to nearest whole number, that is, 102 mg