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
kumpel [21]
3 years ago
7

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

Mathematics
2 answers:
hammer [34]3 years ago
5 0

Answer: option d.

Step-by-step explanation:

If <em>y </em>varies directly as <em>x</em> and <em>z</em>, the form of the equation is:

y=kxz

Where<em> k</em> is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for <em>k:</em>

4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}

<em> </em>Substitute the value of <em>k</em>  into the expression. Then, the equation is:

y=\frac{2}{3}xz

To find the value of <em>y </em>when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

y=k=\frac{2}{3}(7)(4)

y(7,4)=\frac{56}{3}

<em> </em>

mixas84 [53]3 years ago
4 0

Answer:

Choice D is correct.

Step-by-step explanation:

We have given that

If y varies directly as x and z,

y ∝ xz

y  = kxz                          eq(1)  

where k is constant of variation.

As given that y = 4 when x = 6 and z = 1

4  = k(6)(1)

4 = k(6)

4 = 6k

k = 4/6

k = 2/3

Putting the value of k in eq(1), we have

y = 2/3xz

Now, we have to find the value of y when x = 7 and z  = 4

y = 2/3(7)(4)

y = 56/3

Hence, Choice D is correct.

You might be interested in
Identify each solid given its net.<br><br><br> please answer asap! will mark brainliest :)
7nadin3 [17]

Answer:

A triangular prism

Step-by-step explanation:

The 3 rectangles represent 3 sides of the prism.  Imagine folding on the line, and connecting the left side of the first rectangle to the right side of the third rectangle.  It will make a triangle that has depth.  

Looking that the top and bottom triangles attached to the third rectangle shows us that the top and bottom of this shape are triangles, which matches the three sides.  

What we have is a 3D triangle, which we call a triangular prism

7 0
3 years ago
A circle has a radius of 5/6 units and is centered at (3.6,7.8)
romanna [79]

Answer:

(x-3.6)^2 + (y-7.8)^2 = (5/6)^2

Step-by-step explanation:

8 0
3 years ago
Seth purchased a printer for $350. The price of the printer that Jose purchased was 4/5 the price that Seth payed. How much did
Natasha2012 [34]
4/5 of 350...." of " means multiply
4/5(350) = 1400/5 = 280 <== Jose payed $ 280
3 0
3 years ago
Solve the equation for the unknown variable.
olga nikolaevna [1]

Answer:

   b x 3 = 8

=> b = 8/3

Hope this helps!

:)

4 0
3 years ago
Find 2 numbers a and b whose sum is 4 and whose difference is -2​
umka21 [38]

Answer:

a = 1, b = 3.

Step-by-step explanation:

a + b = 4

a - b = -2     Adding to eliminate b:

2a = 2

a = 1

So 1 + b = 4

giving b = 3.

7 0
3 years ago
Other questions:
  • Its contains 3 liters of natural oil for every 2 liters of synthetic oil. In order to make 415 liters of petrol oil how manh lit
    6·1 answer
  • 26÷503 If you can please show your work
    10·1 answer
  • The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64
    7·1 answer
  • Given 1.2x^2−2.4=0. Find the roots of the equation.
    12·1 answer
  • How to answer it i also need the answers
    12·1 answer
  • Describe two different strategies you could us to add 16+35+24+14
    8·1 answer
  • Geometric solids are three-dimensional representations of a figure.<br><br> True<br> False
    6·2 answers
  • Write your answer in order of decreasing powers of x.<br><br> (18x 5 + 6x 4 - 12x 3) ÷ 6x 2
    8·2 answers
  • D
    5·1 answer
  • What is the slope of the line that passes through the points (-1,-7) and (1, -13)? Write your answer in simplest form.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!