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
lys-0071 [83]
2 years ago
14

Solve the equation below and find the variation constant, k .Find y when x = 7 and z=5, if y varies jointly as x and 2, and y= 1

4 and x = 4 when z= 3​
Mathematics
1 answer:
Vlada [557]2 years ago
4 0
<h3>Answers:</h3>

Variation Constant: k = 7/6

y = 245/6 when x = 7 and z = 5

====================================

Explanation:

"y varies jointly as x and z" means that y = kxz

We have (x,y,z) = (4,14,3) as one triple, so,

y = kxz

14 = k*4*3

14 = 12k

12k = 14

k = 14/12

k = 7/6 is the variation constant

The equation goes from y = kxz to y = (7/6)xz

----------------

Plug in x = 7 and z = 5 to find y

y = (7/6)xz

y = (7/6)*7*5

y = (7/6)*(7/1)*(5/1)

y = (7*7*5)/(6*1*1)

y = 245/6

You might be interested in
Write a linear equation to describe the number pattern that starts with –8 and continues with negative multiples of 8. PLEEEEEEE
Svetach [21]
D because it the answer for your question because it
4 0
3 years ago
The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $5
zzz [600]

Answer:

a) Matrix B = \left[\begin{array}{c}5\\7\\9\end{array}\right]

b) Matrix AB = \left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]

c) $12,695

Step-by-step explanation:

Matrix A = \left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right]

a) Matrix B = \left[\begin{array}{c}5\\7\\9\end{array}\right]

Gross Receipt = AB

\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right] . \left[\begin{array}{c}5\\7\\9\end{array}\right] = \left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]

c) Total revenue is the sum of receipts from 4 cinemas given in part b

Hence,

Total revenue = $2525 + $3620 + $2845 + $3705 = $12,695

3 0
3 years ago
The probability that a randomly selected point on the grid below is in the blue area is 9/16
DochEvi [55]

Answer:

The correct option is 1.

Step-by-step explanation:

it is given that the probability of a randomly selected point on the grid below is in the blue area is 9/16.

In the given grid we have only two colors that are blue and white.

Let A be the event of a randomly selected point on the given grid is in the blue area.

P(A)=\frac{9}{16}

If the randomly selected point on the given grid does not lie in the blue area, it means it lies on white area.

We will calculate P(A'), to find the probability that a randomly selected point is in the white on the grid.

We know that the sum of the probability is 1.

P(A)+P(A')=1

P(A')=1-P(A)

It is given that P(A)=\frac{9}{16}

P(A')=1-\frac{9}{16}

Therefore option 1 is correct.

8 0
2 years ago
Read 2 more answers
If the surface area of a cube is 54 cm2, how long is each side?
Leno4ka [110]
Cube surface area = side^2 * 6
54 / 6 = side^2
side = sq root (9)
side = 3 centimeters


7 0
3 years ago
How to simplify this maths problem
Free_Kalibri [48]
-20-(-5)(-2^2)
-20-(-5)(-4)
-20-(20)
-20-20
-40
5 0
2 years ago
Other questions:
  • A spinner used for a game is divided into 3 sections;yellow,brown and orange. Janie spins the spinner 18 times. The spinner land
    9·2 answers
  • -5(-2) =<br><br> Need help ASAP (too lazy to actually do the work )
    5·2 answers
  • What is the domain and range of y=-2/3x+6? Please help :c Thank you kind hooman
    7·1 answer
  • James makes fruit punch by mixing fruit jucie and lemonade in the ratio 1:4 she needs to make 40 liters of punch for a party How
    7·2 answers
  • Two cars traveling toward each other are 250 miles apart. Car a is traveling 15 miles per hour faster than car
    13·1 answer
  • If you purchase 100 items that cost $.25 each, how much would the items cost all together?
    10·2 answers
  • What is -12(x-12)=-9(1+7x)​
    8·1 answer
  • What is 2-3? I don't know math I really need help.
    15·2 answers
  • Help me please!!!!!!!!!!!!!!!!!!!
    9·2 answers
  • 14. Sean collected the data on the weight of each of 20 puppies brought into an animal hospital during the month of March. The b
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!