anonymous
  • anonymous
The variable Z is inversely proportional to X. When X is 3, Z has the value 2. What is the value of Z when X = 13
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@Nnesha can you help?
Nnesha
  • Nnesha
do you know the definition of inverse proportion ?
Nnesha
  • Nnesha
i mean formula*

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More answers

anonymous
  • anonymous
i know to do it , its just the decimals get me confused. 2/3 is what? then whatver that is i just multiply it by 13
insa
  • insa
As z is inversely proportional to x. Then z=k/x substitute the values of z and k and find the value of k
Nnesha
  • Nnesha
you don't have to divide Z = k/ z substitute z and k values and x is dividing by k so you need to do opposite of division
insa
  • insa
After finding the value of k, let z=k/x. Then substitute the value of k u found and the other value of k, solve it further and you'll get the answer :)
anonymous
  • anonymous
so is the answer 78?
Nnesha
  • Nnesha
k equal to what ?
Nnesha
  • Nnesha
k is constant of variation first you need to solve for k \[\huge\rm \color{reD}{z}=\frac{ k }{ \color{blue}{x} }\] \[\color{ReD}{z =2}~~~~\color{blue}{x=3}\]
anonymous
  • anonymous
so then itll be 2=26?
anonymous
  • anonymous
or is it 6?
Nnesha
  • Nnesha
yes k=6 now use the same formula substitute k and z values solve for z
anonymous
  • anonymous
so then its 2=2
Nnesha
  • Nnesha
how ?
anonymous
  • anonymous
2=6/3 ?
Nnesha
  • Nnesha
no you need to find z when x =13 this is 2nd part so substitute 13 for x
anonymous
  • anonymous
so 2=6/13?
Nnesha
  • Nnesha
no u need to find z so it should be z =6/13
anonymous
  • anonymous
0.461?
Nnesha
  • Nnesha
yeah or leave it as fraction form
Nnesha
  • Nnesha
.4615 ^round it
anonymous
  • anonymous
0.462
Nnesha
  • Nnesha
lO_Oks right
anonymous
  • anonymous
i need one more The variable Z is directly proportional to X, and inversely proportional to Y. When X is 6 and Y is 3, Z has the value 6. What is the value of Z when X = 10, and Y = 8
Nnesha
  • Nnesha
directly proportional = y =kx multiply k with x inverse = y = k/x divide k by x so translate that into the equation
Nnesha
  • Nnesha
is means equal sign so z =
anonymous
  • anonymous
so multiply 6x6 and 6x3
Nnesha
  • Nnesha
6 times 6 ? there is only one 6
Nnesha
  • Nnesha
The variable Z is directly proportional to X z= kx and 2nd part is inversely proportional to Y so z =kx/y
Nnesha
  • Nnesha
substitute x,y and z values solve for k
anonymous
  • anonymous
so what do i do first?
Nnesha
  • Nnesha
substitute x ,y and z values solve for k
anonymous
  • anonymous
im so confused
Nnesha
  • Nnesha
why ? what you didn't understand :=)
anonymous
  • anonymous
i substitued and got 10 and 16
Nnesha
  • Nnesha
so how did you get 10 please show your work so i can figure t out ur mistake :=)
anonymous
  • anonymous
oh wait no , i got 60 and 24
Nnesha
  • Nnesha
work ?
Nnesha
  • Nnesha
k= ?
anonymous
  • anonymous
all i did was multiply 10 by 6 and 8 by 3
Nnesha
  • Nnesha
When X is 6 and Y is 3, Z has the value 6. this is first part you need to find k value first ALWAYS!
Nnesha
  • Nnesha
substitute x for 6 y for 3 z for 6 solve for k

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