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
Black_prince [1.1K]
4 years ago
14

The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 6, Z has the value 9.5. What

is value of Z when X =8, & Y= 12
*****PLEASE HELP**********
Mathematics
1 answer:
Sveta_85 [38]4 years ago
8 0
This is the concept of proportionality, given that z is directly proportional to x and inversely proportional to y then:
zαx/y
z=(kx)/y
where;
k is the constant of proportionality given by:
k=zy/x
but when x=3 and =6 then z=9.5
therefore:
k=(9.5*6)/3
k=19
hence the formula for z will be:
z=(19x)/y
the value of z when x=8 and y=12 will be:
z=(19*8)/12
z=12 2/3

You might be interested in
A town in america has 2400 families and 4200 cars. What is the family : cars ratio? ​
Dmitry [639]

Answer:

4 : 7

Step-by-step explanation:

No. of families = 2400

No. of cars = 4200

Family : Cars

= 2400 : 4200

= 24 : 42

= 6 x 4 : 6 x 7

= 4 : 7

7 0
3 years ago
Read 2 more answers
Joshua invests​ $500 at the interest rate shown. Felix invests​ $1,000 in an account with the same compounding but at​ 6% intere
nexus9112 [7]
I need help with this too!!!!!!!!!!!!!
5 0
3 years ago
Read 2 more answers
Solve (-16.1)•9.4•(-7.2)=x•(-7.2)•(-16.1)
Fed [463]

Hey there! :)

Answer: x = 9.4

Step-by-step explanation : How do we know this? Well, let's first rewrite our question.

(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)

Let's multiply everything out.

(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)

Simplify.

1089.648 = 115.92x

Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92

Simplify.

9.4 = x

So, our final answer is x = 9.4

~hope I helped!~

8 0
4 years ago
The radius of one sphere is twice as great as the radius of a second sphere. Find the ratio of their volumes. 1/2 1/4 1/8 1/16
Anton [14]

Let's pick some simple points with which to set up an example for ourselves for this. Let's let the smaller radius be 1, and the larger, twice that, be 2. The radius itself is a single unit measure; in other words, it's measured as inches, feet, cm, etc., while the volume is a cubed measure. Volume is measured in inches cubed, feet cubed, cm cubed, etc. Therefore, if we have the radii measuring 1:2, we simply cube those single unit measures to find the ratio of their volumes. 1 cubed is 1, and 2 cubed is 8. So your answer for this is 1/8.

5 0
4 years ago
Read 2 more answers
Keith feeds his dog 3/4 pounds of dog food for each meal. Keith has just bought 36 pounds of dog food. For how many meals will t
san4es73 [151]
The dog food will last for 48 meals. Because. 36 divided by 3/4 (.75)= 48 (dog food meals). Hope this helped!
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of y+2=-3(X-5)
    8·1 answer
  • Please help me to simplify this.
    6·1 answer
  • Find the value of b.
    9·2 answers
  • How do I express 1/2 of the difference of a number cubed and one?
    7·1 answer
  • Correct answer for number 14
    12·1 answer
  • Hello how do I know when ratios are equivalent and when they are not?​
    13·1 answer
  • Each square below represents one whole.
    8·1 answer
  • Can you answer my screenshot
    8·2 answers
  • Will give brainliest!!
    13·2 answers
  • 4. Look at point S in the coordinate grid below.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!