z varies directly with q. when z=2,q=1 .

find a formula connecting z and q

z=???

Answers

Answer 1

Answer:

[tex]z = \frac{q}{2} [/tex]

Step-by-step explanation:

[tex]z \infty q[/tex]

[tex]z = kq[/tex]

[tex]z = 2 \: and \: q = 1[/tex]

[tex]2 = k1[/tex]

[tex]k = \frac{2}{1} [/tex]

[tex]z = \frac{1}{2} q[/tex]

[tex]z = \frac{q}{2} [/tex]

Answer 2

9514 1404 393

Answer:

  z = 2q

Step-by-step explanation:

The formula for direct variation is ...

  z = kq . . . . . k is the constant of proportionality

We can find k using the given values of z and q:

  k = z/q = 2/1 = 2

Then the equation connecting z and q is ...

  z = 2q


Related Questions

A flagpole casts a 32-foot shadow at the same time that Evan casts a 9-foot shadow. If Evan is 6 feet tall, how tall is the flagpole?

Answers

Answer:

48

Step-by-step explanation:

by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48

Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups of blueberries

Answers

Answer:

6 x 2 = ?

6 x 2 = 1 2

Step-by-step explanation:

6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .

12 is the answer for this question

€400 is divided between Ann, Brian and Carol so that Ann has twice as much as Brian and Brian has three times as much as Carol. How much does Brian receives ?

Answers

Answer:

€120

Step-by-step explanation:

Let us represent

Ann = x

Brian = y

Carol = z

€400 is divided between Ann, Brian and Carol

Hence: x + y + z = €400...... Equation 1

Ann has twice as much as Brian

Hence:

x = 2y

Brian has three times as much as Carol.

y = 3z

z = y/3

We substitute

x + y + z = €400...... Equation 1

2y + y + y/3= €400

Multiply both sides by 3

2y × 3 + y × 3 + y/3 × 3 = €400 × 3

6y + 3y + y = €1200

10y = €1200

y = €1200/10

y = €120

How much does Brian receives ?

Since, Brian = y

Brian receives €120

The radius of the base of the right circular cone shown below is 5 inches and the height of the cone is 7 inches solving which of the gollowing equations gives the measure 0 of the angle formed by a height of the cone and a radius

Answers

Answer:

The required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].

Step-by-step explanation:

Consider the provided information.

The required figure is shown below:

It is given that the radius of the base is 5 inches and the height of the cone is 7 inches.

We need to given the equation which gives the measure of [tex]\theta[/tex].

Now consider the right angle triangle making an angle [tex]\theta[/tex].

[tex]\tan\theta=\frac{\text{Opp}}{\text{Adj}}[/tex]

[tex]\tan\theta=\dfrac{7}{5}[/tex]

Hence, the required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].

7 – 6(x – 3) + 2x
A 3x + 3
B -4x – 11
C-4x + 25
D 3x - 3

Answers

7-6(x-3)+2
Multiply -6 and (x-3)
7-6x+18+2
Combine like-terms
Ans: 12x + 9

1. The solution to a system of equations is (6,-3). Choose two equations that might
make up the system.
A. y = -2r+6
B. y = 2x - 9
C. y = -5x + 27
D. y = 2x - 15
E. y = -4x + 27

Answers

Is answer C brother

Help now or your mom give u wedgie
Investors buy a studio apartment for $140,000. Of this​ amount, they have a down payment of $14,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$56,000 down payment​ be?

Answers

14,000 would be 10% and 56,000 would be 40%

what is 3/4 divided by 1/8 equals

Answers

The answer would be 6

Answer:

6

Step-by-step explanation:

[tex]\frac{3}{4}[/tex]÷[tex]\frac{1}{8}[/tex]

[tex]=\frac{3}{4} \times \frac{8}{1}[/tex]

[tex]=\frac{3\times8}{4\times1}[/tex]

[tex]=\frac{24}{4}[/tex]

[tex]=\frac{24/4}{4/4}[/tex]

[tex]=6[/tex]

Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?

Answers

Answer:

14 and 1/4

Step-by-step explanation:

So the equation would be-

6 x 2 and 3/8

I would break this up, so

6 x 2 = 12

6 x 3/8 = 18/8

Simplify

18/8 = 9/4 = 2 and 1/4

12 + 2 and 1/4 = 14 and 1/4

Answer:

14 and 1/4

Step-by-step explanation:

3D In the cryptarithm shown, different letters stand for different digits, and no leading digit can equal 0. Find the greatest possible value of "OFF".

Answers

Answer:

1961

Step-by-step explanation:

The greatest value of OFF can be achieved by making the hundreds places the greatest, followed by the tens, and then the ones.

S=9

A=8

U=7

T=6

N=5

986+975=1961

Answer:

955

Step-by-step explanation:

OFF = 955

hope this helps:)

The circumference of a tire is 96 inches. Determine the radius of the tire. Use 3 for π. *

Answers

Answer:

Circumference = 2*pi*radius. Pi = 3. 2 * 3 = 6. Find r: 96/6 = 16.

Step-by-step explanation:

i think it is this 16

Apply the distributive property to factor out the greatest common factor. 44+48=44+48=44, plus, 48, equals

Answers

2040

&Go do no cheat or dis

Answer: 4(11+12)

Step-by-step : don't ask why I'm even answering this

Fill in the next number in the list. .
3, 4, 6, 9, 13, 18,

Answers

Answer:

Next is 18+6=24

...

..

..

...

.

Answer:

uh... Are you counting by 2's? If so, it should be 2,4,6,8,10,12,14 and so on.

Step-by-step explanation:

What is the slope of the line x = 4?

Answers

Answer:

its undefined

Step-by-step explanation:

Really need your help ​

Answers

Answer:B and D yes, A and C no

Step-by-step explanation:

pls brainliest

16 is what present of 64

Answers

Answer:16% x 64

Step-by-step explanation:

Answer:10.24

Step-by-step explanation:

What is the solution to the system of equations below?
X+ 3y = 15
and 4x+ 2y = 30
O (6,3)
O (3,6)
O (7,-6)
O (-6, 7)

Answers

Answer:

(6,3)

Step-by-step explanation:

Here is the system of equations:

x+3y=15

4x+2y=30

Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.

In the first equation, subtract 3y from  both sides

x=-3y+15

now substitute -3y+15 as x in the second equation, and solve for y

4(-3y+15)+2y=30

do distributive property

-12y+60+2y=30

combine like terms

-10y+60=30

subtract 60 from both sides

-10y=-30

divide by -10

y=3

Now, substitute y as 3 into either one of the equations to solve for x.

For example, let's use x=-3y+15

x=-3(3)+15

multiply

x=-9+15

x=6

The answer is x=6 and y=3. As a point it's (6,3)

Hope this helps!

Larry was paid a total of $30 for raking leaves for 8 hours. This rate is constant. What will be the total amount that Larry will be paid for raking leaves for 20 hours of work

Answers

Answer:

Step-by-step explanation:

one hour makes 3.75

20*3.75 = 75

i think it’s 75 not sure

What is the area of the figure?

Answers

the area of the figure would be 234 in.

Answer:

252

Step-by-step explanation:

15 times 12 is 180. 3 times 6 is 18. 6 times 9 is 54. 252 is the area

find f(-3) f(x) = 4x+7​

Answers

Answer:

-5

Step-by-step explanation:

4(-3) + 7

-12+7

Answer:

f(-3) = -5

Step-by-step explanation:

f(x) = 4x + 7

f(-3) = 4(-3) + 7

f(-3) = -12 + 7

f(-3) = -5

If a translation maps angle D onto angle B, which of the following statements is true?

Answers

Answer:

Triangle CED is congruent to Triangle CAB

Step-by-step explanation:

Took the test

If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A' at (9,18). What is the the center of dilation?

Answers

Answer:

Center of dilation → (0, 0)

Step-by-step explanation:

Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).

If this triangle is dilated by a scale factor of 'k' about the origin,

Rule for the dilation is,

(x, y) → (kx, ky)

If vertex A is dilated by a scale factor of 3 about the origin,

A(3, 6) → A'(3×3, 3×6)

           → A'(9, 18)

Therefore, center of dilation is origin (0, 0).

write an equation of a line that passes through (-4,2) and is parallel to the line y=1/4x+1

Answers

Step-by-step explanation:

answer is explained above

The length of a rectangle is represented by 4x+6. The width is half the length. What expression represents the perimeter of the rectangle?

Answers

Answer: P = 12x + 18

Step-by-step explanation: When you find the perimeter, you do length + length + width +width. Saying 2L + 2W = P is the same thing.

2L = 2(4x +6)2W = 4x +6 (if the width is equal to half the length, twice the width is equal to the length).P = 2L + 2WP = 2(4x + 6) + 4x + 6 (substitute for L and W)P = 8x + 12 + 4x + 6 (distribute)P = 12x + 18 (combine like terms)

A field has 25 trees in it . 14 trees are new and the rest are old . How many trees are old ? Write two different equations that represent the problem . Then solve .

Answers

Answer:

An equation would be 24 - 14 = n. Another one you could write would be 14 + n = 24. The answer is 10 for the amount of old trees.

URGENT! LAST QUESTION OF MY HW! I've reposted this multiple times but no one has answered, please leave an explanation if you know the answer. I will give Brainliest! ​

Answers

Answer:

y=5

Step-by-step explanation:

Any equation that's y=c (or any other constant) is a horizontal line. Imagine a parabola and a horizontal line plotted on a graph.

There are three possibilities of where the horizontal line can be:

It may not touch the parabola at all,

It may touch the parabola at one specific point (it's a tangent line)

Or it may touch the parabola at two points (it's a secant line)

The question prompt tells us that the horizontal line y=c touches the parabola at exactly one point; so for it not to touch two points it has to touch the parabola at the vertex point, right?

If we graph the parabola (or we could just look at the equation and it should be intuitive), we find out that the y-intercept is 5. In other words the point where the function reaches its maximum value (maxima) is at y=5.

For this reason, the value of c is 5 since if it was any value below that it would touch more than one point and if it was above it it wouldn't touch any point.

Here's an image so that it'll be a bit clearer hopefully:

Good luck!

A store bought 30 cases of notebooks for a back-to-school sale. Each case has 36 notebooks. How many total notebooks did the store have for the sale?



Answers

Answer:

1080 notebooks

Step-by-step explanation:

30×36 You can simplify this...

3*36=108

108×10=1080

Hope this helps!

[tex]Mickey Mouse[/tex]

I think the answer is 1080 notebooks

My guys got me right? I’m giving brainliest

Answers

Answer:

1. 12

2. [tex]\pi[/tex] or about 3.14

3. 4.5[tex]\pi[/tex] or about 14.13

4. 12 + 5.5[tex]\pi[/tex] or about 29.27

Step-by-step explanation:

1. The rectangle is 6 by 2

6 * 2 = 12

2. They would combine to form a circle with radius 1, so [tex]\pi * 1^2[/tex] = [tex]\pi[/tex], or if you use 3.14 for pi you get 3.14

3. The radius is 3 and it's half of a full circle, so

[tex]\pi * 3^2 / 2= 4.5\pi[/tex], or if you use 3.14 for pi you get 14.13

4. Adding all of these together, you get 12 + 5.5[tex]\pi[/tex] or if you use 3.14 for pi you get 29.27

is the answer have a great day mwah :)

WILL GIVE BRAINLIEST
In the two-step equation below, what is the second step you would take to solve this equation?

3/4f+5=-5

a. Multiply both sides by 4/3
b. Add five to both sides.
c. Multiply by sides by 3/4
d. Subtract 5 from both sides.

Answers

Answer:

a. Multiply both sides by 4/3

Step-by-step explanation:

Since you're dealing with a fraction, multiplying both sides by the reciprocal, which is the fraction flipped, it could cancel out the fraction so now x is alone on one side.

Hope this helped! :)))

What is the image point of (-6,-9)(−6,−9) after a translation left 1 unit and down 5 units?

Answers

Answer:

(-7,-4)

Step-by-step explanation:

-6-1=-7

-9-(-5)=-4

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