Question

One third of a number is added to one tenth of a number . The result is equal two times the square of the number. Find the number.​

Answer 1

Answer:

If one third of a number is added to itself and gives 10, what is the number?

Let n = the unknown number.

One-third of a number added to itself gives 10 can be translated mathematically into the following equation:

(1/3)n + n = 10

3[(1/3)n + n] = 3(10)

3(1/3)n + 3n = 3(10)

(1)n + 3n = 30

n + 3n = 30

(1 + 3)n = 30

4n = 30

(4n)/4 = 30/4

(4/4)n = 30/4

(1)n = 7½

n = 7½

CHECK:

(1/3)n + n = 10

(1/3)(7½) + 7½ = 10

(1/3)(15/2) + 15/2 = 10

5/2 + 15/2 = 10

(5 + 15)/2 = 10

20/2 = 10

10 = 10

Therefore, 7½ is indeed the desired, correct numbe

Answer 2

Answer:

earth is a planet in the universe

it is the only planet that supports life

it is the 3rd planet in the solar system