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
Sindrei [870]
3 years ago
9

The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant

of variation?


2

18

54
Mathematics
1 answer:
ira [324]3 years ago
4 0
\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \stackrel{\textit{\underline{y} varies directly with the square of \underline{x} and inversely with \underline{z}}}{y=\cfrac{kx^2}{z}}
\\\\\\
\textit{we also know that }
\begin{cases}
x=9\\
z=27\\
y=6
\end{cases}\implies 6=\cfrac{k9^2}{27}
\\\\\\
\cfrac{27\cdot 6}{9^2}=k\implies 2=k
You might be interested in
The price of an item has dropped to$63 today.Yesterday it was $140.find the percentage decrease
Rashid [163]

Answer:

55% drop.

Step-by-step explanation:

To find this first divide 63 by 140 to get .45. Then multiply this value by 100 to get a value of 45%. Then you know that 55% is the amount dropped.

5 0
3 years ago
A baker has 1 3/4 cup of sprinkles to spread on cupcakes. Each cupcake needs 1/8 cup of sprinkles
Nookie1986 [14]

Answer: 14

Step-by-step explanation

Yusuf avuzjd

6 0
3 years ago
It costs $6 for a dozen donuts how much does 1 donut cost
Irina-Kira [14]

Answer:

.50 for one donut

Step-by-step explanation:

do a ratio 6$ for 12 donuts

so for $ for 1 donut

reduce the first equation for a ration of $1 per two donuts

so it be 50 cents

6 0
3 years ago
Read 2 more answers
I don’t know this one
torisob [31]

Answer:

3077.2

Step-by-step explanation:

A circle's mass is found by

Pie times R^2

7^2 is 49, times 3.14 is 153.86

then you Multiply 153.86 by 20 which gives you 3077.2

5 0
3 years ago
Read 2 more answers
two cars leave Memphis from exactly the same spot. one traveling north at 70 mph and the other traveling south at 65 mph. how lo
Gemiola [76]

Answer:

2 hours

Step-by-step explanation:

270 = (70+65) * t

270= 135t

t = 2

8 0
3 years ago
Other questions:
  • 1. The graph shows the distance y, in centimeters, a pendulum moves to the left (negative displacement) and right (positive disp
    10·1 answer
  • The​ slope, m, of the line through the distinct points ​(x 1​,y 1​) and ​(x 2​,y 2​) is given by the formula m ​=
    5·1 answer
  • Which is the result of the following equation<br><br> 3x ^2-9=0
    5·2 answers
  • State the name of the property illustrated. (x + 7) + [-(x + 7)] = 0
    11·1 answer
  • Solve for x 19x-18, 7x+1, 10x-9
    8·1 answer
  • What is the domain of this function
    8·2 answers
  • Marry leaves her house at 12:17 pm. Walks to the library, which takes her 14 minutes, and remains there for 3 hours and 27 minut
    15·1 answer
  • PLEASE SOMEONE WOULD THEY TELL ME PLEAsee?!!!
    6·2 answers
  • Solve the equation for x.<br> √x+5 -1 = 2
    13·1 answer
  • The triangle above is isosceles and b&gt; a. Which<br> of the following must be FALSE?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!