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.

Find out more about constant of variation at: https://brainly.com/question/25215474


Related Questions

Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $0.50 per mile. The total fare was $9.60, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.

Answers

Here we must write and solve a linear equation to find the number of miles that Eva traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Eva traveled 11 miles in the taxi.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/19045223

Answer:

11

Step-by-step explanation:

Find the measure of 44.
23/24
147/33°
339/147
4.4 = [?]

Answers

The angle of 4 is 147 degrees!
Based on the alternate interior angle theorem!

Hope this helps!
Brainliest and a like is much appreciated!
It’s is 147 I just did the test right now

Help PLEASE!!! I really need it I really do please anyone

Answers

Answer:

5. alternate interior angles

7. angle addition postulate

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.

Answers

The measure of the fifth interior angle is 102 degrees.

A polygon is an object with five sides. It is made up of five straight edges and 5 interior angles. The sum of interior angles is 540 degrees.

In order to determine the fifth interior angle, the sum of the four interior angles would be subtracted from  sum of interior angles in a polygon.

Fifth interior angle = 540 - (88 + 132 + 100 + 118)

= 540 - 438

= 102 degrees

Please find attached an image of a pentagon. A similar question was answered here: https://brainly.com/question/2906515

Multiplied by 3/4 and then divided by 3/5 is the same as dividing by what?


Please explain step by step

Answers

We have:  x ×  [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{5}[/tex] = x ×  [tex]\frac{3}{4}[/tex]  ×  [tex]\frac{5}{3}[/tex] =  x × [tex]\frac{5}{4}[/tex] = x ÷ [tex]\frac{4}{5}[/tex]

ANSWER:  E. 4/5

Ok done. Thank to me :>

what is the answer?

Answers

Answer:

1x+-8(-4)=b

Step-by-step explanation:

please help me with this problem

Answers

Answer:

v=32

Step-by-step explanation:

23-15=8x4=32

32/4+15=23

Find the distance between the origin and (-12,-9)​

Answers

Answer:

Distance (d) = 15

Step-by-step explanation:

The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

Let (x₁, y₁) = (0, 0)

     (x₂, y₂) = (-12, 9)

Substitute these values into the distance formula.

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]

Perform the required subtraction within each parenthesis:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]

Next, take the squared values of -12 and 9 under the radical:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]

Add 144 and 81:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]

Distance (d) = 15

Answer:

Therefore, the distance between the point of origin and (-12, 9) is 15.

Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)

Answers

Using the mean concept, it is found that the inequality can be used to  represent the number of miles, x, Jaime could bicycle  on the 4th week to meet his goal is:

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

The mean of a data-set is the sum of all observations divided by the number of observations.

In this problem:

There are 4 observations.They are: 240, 310, 320 and x.

Hence, the mean is:

[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]

His goal is to  bicycle an average of at least 280 miles per week for  4 weeks, hence:

[tex]M \geq 280[/tex]

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786

This table show the total distance d, in kilometers, a truck traveled after t hours. Which equation shows the relationship between d and t? d = 100t d = t + 300 d = 300t d = t + 100

Answers

Answer:

d=100t or d=300t depending on how much the truck travels for an hour because no image was provided i dont know

Step-by-step explanation:

Which postulate or theorem can be used to prove the triangles congruent?

a) ASA
b) SAS
c) AAS
d) SSS
e) cannot be proved congruent

Answers

Answer:

D) SSS

Step-by-step explanation:

They have 3 sides that are congruent to each other. We don't know anything about the angles.

Find the value of c that makes x^2+ 9x + c a perfect square trinomial. Write the expression as the square of a binomial. The expression is​

Answers

Answer:

[tex]c=\frac{81}{4}[/tex]

I hope this is the right answer and I hope this helps

The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.

What is a perfect square trinomial?

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The expression is given below.

⇒ x² + 9x + c

The value of the variable 'c' to convert the expression as the square of a binomial will be given as,

c = (9/2)²

c = 81 / 4

The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.

More about the perfect square trinomial link is given below.

https://brainly.com/question/16615974

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Layla is making a fruit salad for 5 friend. Each person gets 2/5 of a cup of strawberries. How many cups of strawberries does Layla need?

The market is selling a box of strawberries containing 2 cups

How many boxes does Layla need? Answer in decimal form

Answers

She needs 1 box of strawberries

She needs 2 cups of strawberries total

Is ∠ABC ≅ ∠ADC? Yes or no and why. PLEASE HELP ME? thanks. BRAINLIEST to CORRECT answers ONLY. PLEASE NO LINKS

Answers

yes the triangles are congruent by the HL Theorem

I need help on this question
No links!

Answers

Answer:

>

Step-by-step explanation:

> means greater than and because 79 is greater than -5, the correct sign you would use will be >

79 > -5

>79 is greater than negative5

For a given series, s1=1, s2=8, s3=21 what is the 3rd term in the sequence?

Answers

Answer:

S=13, read pictures below

Step-by-step explanation:

geometry word problem:
The area of a square is four times the area of a triangle. If the base of the triangle and a side of the square are equal, what is the ratio of the height of the triangle to the side of the square?
(A) 1 : 4
(B) 1 : 2
(C) 2 : 1
(D) 3 : 2
(E) 2 : 3

Answers

The ratio of the height of the triangle to the side of the square (B) 1 : 2

What are the areas of triangle and square?

The area of a triangle is (1/2)×base×height.

The area of a square is (side)².

Given, The area of a square is four times the area of a triangle.

(side)² = 4{(1/2)×base×height}.

The base of the triangle and the side of the square are equal let this be 'a'.

∴ a² = 4(1/2)×a×height.

a = 2×height.

a = 2h.

learn more about squares here :

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Item 2
A baker displays 72 muffins on 8 identical trays.

How many trays does the baker need to display 54 muffins?

Enter your answer in the box.

Answers

Answer:

The baker needs six trays to display 54 muffins

Step-by-step explanation:

72/8 = 9

9 x ? =

56

9 x 6 = 56

Answer:

6

Step-by-step explanation:

Muffins displayed in 8 identical trays = 72

Muffins displayed in 1 identical tray = 72/8 = 9

Tray required to display 54 muffins = 54/9 = 6

In simplest form …..

Answers

Answer:

2[tex]\sqrt[3]{2}[/tex]    

Step-by-step explanation:

[tex]\sqrt[3]{54} - \sqrt[3]{2}[/tex]

[tex]\sqrt[3]{2 * 3 * 3 * 3}[/tex] - [tex]\sqrt[3]{2}[/tex]         Prime factorization.

[tex]3\sqrt[3]{2}[/tex] - [tex]\sqrt[3]{2}[/tex]                      Simplify the radical.

2[tex]\sqrt[3]{2}[/tex]                              Subtract.

In \triangle KLM,△KLM, \overline{KL}\cong \overline{MK} KL ≅ MK and \text{m}\angle M = 43^{\circ}.m∠M=43 ∘ . Find \text{m}\angle L.m∠L.

Answers

Based on the definition of an isosceles triangle, the measure of angle L is: 43°

Recall:

An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.

Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.

If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).

This implies that: m∠L = 43°

In summary, based on the definition of an isosceles triangle, the measure of angle L is: 43°

Learn more about isosceles triangle on:

https://brainly.com/question/11884412

Please help me solve this problem ASAP

Answers

Answer:

∠ = 130°

Step-by-step explanation:

They are vertical angles: a pair of opposite angles formed by intersecting lines. These two angles are considered congruent, which means they have exactly the same measure. So, you simply solve for x when they equal each other. Remember, both angles share the same measurement.

15x -5 = 13x + 13

5 + 15x - 5 = 13x + 13 + 5

13x - 15x = 13x + 18 - 13x

2 ÷ 2x = 18 ÷ 2

x = 9

Now you must put 9 in for x to solve the measurement of the angles.

15 (9) - 5 = 130°

13(9) + 13 = 130°

Both angles equal 130°, so you know you've done the math correctly.

angle A coincides with angle E

Answers

Answer:

Nah fam its the other way round.... bru h whats ur question

Step-by-step explanation:

Answer:

It coincides by both being congruent

Step-by-step explanation:

Help me help help helppppppppppp

Answers

Answer:

61.2$

Step-by-step explanation:

I think that's how it's done.


Which graph represents a function???

Answers

Answer:

C

Step-by-step explanation:

C is the only graph that passes the vertical line test.

Answer:

c

Step-by-step explanation:

The line doesn't cross eachother

Hello da 234234r32 ef3qew3e2wr3qefwasdwasd

Answers

ah, thank you. your question truly made the most of sense.

math question help plsss

Answers

Answer would be C
Point A is at (1,1) then point B is three units down and point C is three over from point B :)

Simplify the expression 4(2x−8y) + 3y

Answers

Answer:

8x-29y Sorry if wrong!

Step-by-step explanation:

You have to distribute first and then combine like terms.

Answer:

8x-29y

Step-by-step explanation:

You have to distribute first and then combine like terms.

And that is where you get your answer.

Hope this helps.

given: 4x=12x+32 prove: =-4

Answers

Answer:

See explanation

Step-by-step explanation:

4x = 12x + 32

Subtract 12x from both sides

-8x = 32

Divide each side by -8.

x = -4

Answer:

True, see attached photo, if this helped you please give Brainliest

Step-by-step explanation:

Ankita height is 135 cm and Nita height is 150 express Ankita height as a percentage of Nita height​

Answers

Answer: 90%

135/150 * 100

45*2

90

Is y=12x proportional?

Answers

Answer:

yes, this line will pass through the point of origin

Step-by-step explanation:

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