Given the Data Points : (9, 72) (4, 32) (7, 56) What is the constant of variation?

Answers

Answer 1

The constant of variation of the data point is 8.

An equation is an expression that shows the relationship between two or more variables and numbers.

If two variables are proportional, they can be represented by:

y ∝ x

y = kx

k  is the constant of variation.

For the point (9, 72):

72 = 9k

k = 8

For the point (4, 32):

32 = 4k

k = 8

For the point (7, 56):

56 = 7k

k = 8

The constant of variation of the data point is 8.

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Related Questions

HURRRRRYYYYYYYY. I HAVE 5 MINUTES ​

Answers

Answer:

x = - 9/10

workings

2/3 x = - 3/5

multiply by 3/2 on both sides

x = - 9/10

Answer:

2/3x=-3/5

x=-3/5*3/2

x=-8/10

Evaluate c√+b(a−3)^3, when a = 5, b = 2, and c = 49.
a.84
b.72
c.54
d.23

(will mark brainliest if correct)

Answers

i believe the answer is 196? i’m sorry if i’m incorrect

Answer:

D). 23

Step-by-step explanation:

I just did this question and it is 100% correct

What do you know to be true about the values of p and q?
09
AM
60°
50°
30°
80°

Answers

Answer:

p=q

Step-by-step explanation:

all angles together is 180. p=70 degrees and q = 70 degrees

how do I dilate triangles using scale factors? step by step

Answers

Answer:

so first you

Step-by-step explanation:

find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.

3y=6
Find the slope of the line described by each equation

Answers

Not sure of this answer
But I think the slope is 0
Please correct me if I’m wrong.

If the actual sale for the week is $525 and hector guessed $625, what i the percent error?

Answers

Answer:

19.0% (1dp)

Step-by-step explanation:

$625-$525=$100

$100/$525=4/21×100=19.0% (1dp)

PLEASEE HELP ME ITS EAZY

Answers

If its easy, why don’t you do it yourself??



y=-3/2x-6

Hope this helps

Please help ASAP. Trigonometry
Write TWO different equations that you could use to solve for x. You don't need to solve.

Answers

Answer:

  cos(52°) = 18/x

  x = 18·sec(52°)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Cos = Adjacent/Hypotenuse

In this geometry, that means ...

  cos(52°) = 18/x

You can use the relation sec(x) = 1/cos(x) to rewrite this as ...

  x = 18·sec(52°)

_____

You can also use the complementary angle and the complementary trig function.

  sin(90° -52°) = 18/x

Help me plz I would really appreciate it!

Answers

Given,[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Determine the unit rate. Use mental math when you can. 6 golf balls for $15

Answers

Answer:

1 golf ball : $2.50

Step-by-step explanation:

You can first divide 6 and 15 by 3, and get 2 and 5.Then, you divide 5 by 2, which is 2.5Therefore, the unit rate is 1 golf ball : $2.50

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

$1.20 per chicken

Step-by-step explanation:

[tex]\frac{money} {chickens}[/tex]

[tex]\frac{18}{15}[/tex]

1.2

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

A sporting event held at a high school had 135
attendees. The event earned a total of $930.
Admission to the event was $10 for adults and
$4 for students. How many adults (a) and how
many students (s) attended?
a + s = 135
10a + 4s = $930
[?] adults [ ] students

Answers

Answer:

65 adults and 70 students

The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .

What is elimination method?

In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.

According to the question

A sporting event held at a high school had 135 attendees.

In which adults and students are there .

Let adults be a

and students be s

Therefore,

The equation is

a + s = 135 ---------------------------(1)

Now,

The event earned a total of $930.

Admission to the event was $10 for adults and $4 for students.

i,e

10a + 4s = 930 ---------------------------(2)

Now , Using elimination method to solve both equations

a + s = 135 ---------------------------(1)

10a + 4s = $930 -------------------(2)

Step1: Multiplying equation 1 by 10

i,e

10a + 10s = 1350 -------------------(3)

Step2: Subtract equation (2) from (3)

10a + 10s = 1350 -------------------(3)

-10a - 4s = -930 -------------------(2)

6s = 420

s = 70

Now , Substituting the value of s in equation (1)

a + s = 135 ---------------------------(1)

a + 70 = 135

a = 65

Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .

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A half circle is joined to an equilateral triangle with side lengths of 12 units.

What is the perimeter of the resulting shape? Type your answer in the box below.

Answers

Answer:

P = 12 pi units + 24 units.

Step-by-step explanation:

All sides of an equilateral triangle are of the same length.  Here that length is 12 units.  We take a circle of diameter 12 units and cut it in half through its center.  Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.

The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units.  This is half the formula C = 2(pi)(r).  The two non-attached sides of the triangle have a total length of 24 units.

Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.

In right â†LMN, sin M = 0. 759. What is cos N? A. 0. 121 B. 0. 241 C. 0. 349 D. 0. 651 E. 0. 759.

Answers

The correct option is E. 0.579

Given, sin M = 0.759.

We have to find the value of cos N.

Since [tex]\Delta LMN[/tex] is right triangle.

We know that,

[tex]sin(90-\Theta)= Cos \Theta[/tex]

Assuming L is the right angle, So the other two angles are complementary.

Thus, [tex]cos(N) = sin(90-N) = sin(M)[/tex]

Hence,[tex]Cos(N)=Sin(M)[/tex]

Therefore the value of Cos N will be 0.759.

For more details on trigonometric ratio follow the link:

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What is the range of possible sizes for side x?

Answers

Answer:

x = 3.96

Step-by-step explanation:

apply the pitagoras theorem

x =

[tex] \sqrt{ {2.8}^{2} + {2.8 }^{2} } [/tex]

A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$637.54

Step-by-step explanation:

The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.

When is it best to solve a system of equations using substitution?

Answers

Answer:

The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method

According to building codes, a wheelchair ramp should have a slope of 1/10 or less.

a) Does the wheelchair ramp shown meet the requirements? (The ramp had a height of 75 cm and a length of 800 cm.)
Include calculations to justify your answer.

Answers

Using the slope formula, it is found that the slope is of 0.09375 < 0.1, hence, it meets the requirements.

The slope of a ramp is given by it's height divided by it's length, that is:

[tex]m = \frac{h}{l}[/tex]

In this problem:

The height is of 75 cm, hence [tex]h = 75[/tex].The length is of 800 cm, hence [tex]l = 800[/tex].

Then, the slope is given by:

[tex]m = \frac{h}{l} = \frac{75}{800} = 0.09375[/tex]

The slope is of 0.09375 < 0.1, hence, it meets the requirements.

A similar problem about the use of slopes in ramps is given at https://brainly.com/question/18090623

i know the pythagorean theorem

Answers

Answer:

I know the pythagorean theorem

Step-by-step explanation:

ok

a derpartment store sell 152 pair of jeans for 29 each. which is the best estimate of the total sales for the jeans

Answers

Answer:

44 dollars

Step-by-step explanation:

Since we need to find the total sales, we do 152 * .29, but we are estimating, therefore, instead we can do 150 * .29, which is 43.5. Rounding up we get 44, thus 44 is our answer

I just need the answer to the first question (16) plz thx

A)Evaluate g(0)
B)Find x if g(x)=0
C) domain and range

Answers

Answer:

  a) g(0) = -4

  b) x = -2 or +2 for g(x) = 0

  c) domain: all real numbers; range: y ≥ -4

Step-by-step explanation:

a)

g(0) is the value of the function when x=0. That is where the function crosses the y-axis. g(0) = -4.

__

b)

g(x) = 0 where the graph crosses the x-axis. The x-values there are ...

  x = -2 and x = 2

__

c)

The domain is the horizontal extent of the graph. Here, we assume the graph extends to infinity both in the upward direction and to the left and right. Thus the horizontal extent (domain) is from -∞ to +∞, or "all real numbers."

The point where the graph crosses the y-axis is a minimum. There are no y-values below that point. So, the vertical extent (range) of the graph is from y=-4 to +∞.

  y ≥ -4 . . . . range

Does anyone know how to answer this?

Answers

Given that
The length of the rectangle 4cm and the breadth is 3cm
Area of rectangle= length * breadth
Area= 4*3
= 12cm^2
Hope it helped

Step-by-step explanation:

We first calculate the lenght of the diameter, that is also the lenght of the hypotenuse of the right triangle shown in the figure:

d = [tex]\sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex] cm

The radius of the circle will be half of the diameter: r = d/2 = 2.5 cm

The area of the circle will be: Acircle = pi * r^2 = pi * 6.25 cm^2 = 19.6 cm^2 (circa).

Now from the area of the circle we subtract the area of the square:

Asquare = 4cm * 3cm = 12cm^2

A shaded = Acircle - Asquare = 19.6 cm^2 - 12cm^2 = 7.6 cm^2

The sum of two numbers is 25. One number is twice the seond number plus seven.
What are the two numbers?

Answers

19 and 6

because 6x2=12
12+7=19
19+6=25

4. It takes Zack 30 minutes to walk 7.5 blocks to the swimming pool. At this rate, how many blocks can he walk in
one minute?
A. 1 block
30
B. block
7.5
765-30.5775
C. 4 blocks
D.) 5 blocks

Answers

Answer:

He can walk 0.25 blocks in 1 minute

Step-by-step explanation:

If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.

7.5/30 = 0.25

Solve for C: 20 (greater than or equal too sign) C-11

Answers

Answer:

C (is greater than it equal to) 31

Step-by-step explanation:

Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33

Find sin 90° + cos 360° + tan 0°

Answers

Answer:

2

Step-by-step explanation:

sin 90 is 1;

cos 360 is cos 0, or 1; and

tan 0 is 0.

Thus, sin 90° + cos 360° + tan 0° = 1 + 1 + 0 = 2

The shortest route from London to Swansea is 180 miles. A lorry is expected to take 4.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 4.5 hours. By how many more mph than the expected speed does the lorry travel?​

Answers

Answer:

6mph

Step-by-step explanation:

180/4.5=40

180 × (1+15%)=207

207/4.5=46

46-40=6

what is the equation of the line with slope -7 which goes through the point (2,5)

Answers

Answer:

y=-7x+19

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-7(x-2)

y=-7x+14+5

y=-7x+19

The equation of the line with slope - 7 which goes through the point (2, 5) is

y = - 7x - 19.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through points (2, 5) with a slope of - 7.

∴ 5 = -7(2) + b in slope-intercept form.

5 = - 14 + b.

b = - 19.

y = - 7x - 19.

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Luis made an error when he used the distributive property to write an equivalent expression.

Which sentence describes the error?

35x−15====(5⋅7)−(5⋅3)5(7−3)5(4)20

Answers

Answer:

35x does not equal 5 times 7Step-by-step explanation:

The second step ''(5 × 7) - (5 × 3)'' has an error.

Given that;

Luis made an error when he used the distributive property to write an equivalent expression.

Here the expression is,

35x - 15

It can be written as;

(5 × 7)x - (5 × 3)

Take 5 as common,

5 (7x - 3)

Therefore, the second step ''(5 × 7) - (5 × 3)'' has an error.

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The sum of three consecutive odd numbers is 99.
What is the smallest of the three numbers ?

Answers

31

hope this is helpful!

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