All categories

3 years ago

The ratio between the square of a number and it's cube is 1:3 what is the number

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

Step-by-step explanation:

Call that number “x”

The square of that number is x^2

Also as the cube is x^3

The ratio between these 2 values is 1:3, this means x^2 / x^3 = 1 / 3

<==> 1 / x = 1 / 3 (eliminate “x^2” for numerator and denominator of the fraction x^2 / x^3 )

<==> x = 1 * 3 / 1 = 3

So, that number is 3 ! This math problem seems simple ;)

You might be interested in

How do I find the number of solutions for this equation? 6y = 12x + 36

Soloha48 [4]

Answer:

6y = 12x + 36 is x= 1 /2 y−3

15y = 45x + 60 is x= 1 /3 y+ −4 /3

Step-by-step explanation:

4 0

3 years ago

Write a word problem that is solved by 43 ÷ 5= 8 R3, in which the remainder is the only part needed to answer the question.

Sonbull [250]

The answer should have been 8.6 that was wrong but it is okay you were close

6 0

3 years ago

Read 2 more answers

Mr. James accepted a new job with a starting annual salary of $32,500. He will receive an annual raise of $1,500 beginning his s

Amanda [17]

Answer:

He will earn $139,000 after 4 years

Step-by-step explanation:

32,500+34,000+35,500+37000= $139,000

7 0

3 years ago

What additional information is necessary to prove that SILY is a parallelogram

kirza4 [7]

Answer:

Are the sides parallel?

Step-by-step explanation:

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =

sveta [45]

Answer:

$\displaystyle n^3-\frac{1}{n^{2}}$

Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

$2^m=n$

We need to express the following expression in terms of n.

$8^m-4^{-m}$

It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

$(2^3)^m-(2^2)^{-m}$

Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

5 0

3 years ago

The ratio between the square of a number and it's cube is 1:3 what is the number ​

The ratio between the square of a number and it's cube is 1:3 what is the number