1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
a_sh-v [17]
3 years ago
6

A proportion question ​

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

because x,y,z are in continuous proportion

=> x/y = y/z

<=> xz = y² =>

\frac{xz}{y} =y\\\\=>\frac{x^{3}z^{3}  }{y^{3} }=y^{3}(1)

with (1), we have:

x^{2}y^{2}z^{2}(\frac{1}{x^{3} }+\frac{1}{y^{3} }+\frac{1}{z^{3} })\\\\=  (xyz)^{2}(\frac{1}{x^{3}  }  +\frac{y^{3} }{x^{3}z^{3} }+\frac{1}{z^{3} })\\\\=(xyz)^{2} (\frac{x^{3}+y^{3}+z^{3}   }{x^{3}z^{3}}  )\\\\=y^{2}.\frac{x^{3}+y^{3}+z^{3}  }{xz}  \\\\= xz.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\=x^{3}+y^{3}+z^{3}

Step-by-step explanation:

You might be interested in
Which of the following equations have the solution v=3v=3?
kari74 [83]

ANSWER:

v = 3 is only a solution to equations 1 and 5.

STEP-BY-STEP EXPLAINATION:

Equation 1:

\frac{v}{3}   + 9 = 10

\frac{v}{3} = 10 - 9

\frac{v}{3} = 1

v = 1(3)

v = 3

Therefore, v = 3 is a solution.

Equation 2:

4 = 7v - 24

4 + 24 = 7v

28 = 7v

\frac{28}{7}  = v

4 = v

Therefore, v = 3 is not a solution.

Equation 3:

16 = 2 + 5v

16 - 2 = 5v

14 = 5v

\frac{14}{5}  = v

Therefore, v = 3 is not a solution.

Equation 4:

5 - 7v = 19

- 7v = 19 - 5

- 7v = 14

v =  \frac{14}{ - 7}

v = -  2

Therefore, v = 3 is not a solution.

Equation 5:

3 + 2v = 9

2v = 9 - 3

2v = 6

v =  \frac{6}{2}

v = 3

Therefore, v = 3 is a solution.

7 0
3 years ago
ANSWER QUICKLY: This is a surface area question​
Phoenix [80]
You’ll need 1197 inches of paper
3 0
3 years ago
A businessman buys 1,440 dozen pens at $2.50 a dozen and then sells them at a price of 25¢ apiece. What is his total profit on th
LekaFEV [45]
He spend: 1440*2.5=3600 
he earn: 0.25*1440*12=4320
[because he sells 0.25/each and buy 1440 dozen so 1440*12]

4320-3600=720
5 0
3 years ago
Find all x so that x^5=-x^3. Imaginary numbers (like "i") are allowed.
natita [175]
It’s 3 keidiskdkkskskskkssiisisisisiis
8 0
3 years ago
Read 2 more answers
Leon receives a birthday gift of $50 from his parents. Each week he saves $5.00. How many weeks will it take for him to save $12
lubasha [3.4K]

Answer:

14 weeks. the equation would be a.

Step-by-step explanation:

120-50=70   70/5=14 it will take him 14 weeks to get 120 if he saves 5 a week on top of the additional 50 he already has.

3 0
3 years ago
Other questions:
  • −2(−1 1/4) Multiply. Write your answer as a fraction in simplest form.
    15·2 answers
  • Cara went to the store and bought 4 pounds of lemon sours and 3/10 of a pound of gummy bears. How much did she spend?
    5·1 answer
  • For the function f(x) = -12x + 7, find the
    14·1 answer
  • Bridges in mathematics grade4 student book answer key
    6·1 answer
  • You are considering buying a piece of industrial equipment to automate a part of your production process. This automation will s
    14·1 answer
  • Holly bought 23 tickets to the baseball game. She got a group rate that gave her $4 off of the regular ticket price for each tic
    7·2 answers
  • What the distance between -6,2 -6,-15
    12·2 answers
  • Can I get some help please? ASAP <br><br>Solve for X. for both equations pleaseee​
    7·1 answer
  • Select the statement that correctly describes the relationship between these two sequences: 1, 2, 3, 4, 5 and 10, 20, 30, 40, 50
    6·2 answers
  • The record time for running the Boston Marathon is 2.12 hours at an average speed of 12.5 miles per hour. What distance does the
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!