There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?

Answers

Answer 1

Answer: proportionality constant = 7.99

It means for every 1 month, the amount need to pay = $7.99 .

Step-by-step explanation:

When y is directly proportional to y , then the equation for this relationship is given by :-

[tex]y=mx[/tex],   (i)

where m is the proportionality constant.

here, it is given that number of months a person has had a streaming movie subscription  is proportional to the total amount of money they have paid for the subscription.

If cost for 6 months is $47.94.

Put x=  6 and y= 47.94  in (i), we get

47.94 =6m

Divide both sides by 6 , we get

7.99 =m

So proportionality constant = 7.99

It means for every 1 month, the amount need to pay = $7.99 .

Answer 2

The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.

Recall:

A proportional relationship is modelled with the equation, y = kx.

k is the constant of proportionality between y and x.

k = y/x

Given:

x = number of months (6)

y = total amount paid for subscription (47.94)

If 6 months subscription costs $47.94, therefore,

k = 47.94/6

k = 7.99

Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.

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Related Questions

Gregory applies honey to one side of his toast. He wants to estimate the likelihood that the toast will land with the honey side facing up when dropped. He drops the toast 40 times and finds that it lands with the honey side facing up 8 times. From this data, it is that the toast will land with the honey side facing down.

Answers

Answer:

A) likely

Step-by-step explanation:

It is likely that the toast will land with the honey side facing down. This is because if we find the percentage of chance/probability of the honey side facing down using the data provided it would be the following...

8 / 40 = 0.20 .... times 100 to find percentage value

0.20 * 100 = 20%

We see that there is a 20% that the honey side will land facing down every time that you drop the piece of toast. This means that there is an 80% chance that the honey side will land facing down which is ultimately a high probability and a very likely chance of it happening.

Answer:

It is likely, I got it right on the test.

Step-by-step explanation:

It takes 140 minutes to finish a 40-question math test. How many minutes does it take, on average, to solve each math problem? * O 2 1/2 minutes 4 1/4 minutes O 3/4 minutes O 32 minutes​

Answers

The answer will be 3.5 minutes.

Answer:

Step-by-step explanation:

Average = Questions / Time

Average = 140 / 40 = 14/4 = 7/2 = 3 1/2 = 3.5

None of the answers are the same as mine. I'm pretty sure min is correct. Ask your instructor what you should answer.

An apple juice company produced 8.3 billion individual-size bottles of apple juice last year. If each bottle contains 355 milliliters of juice, how many milliliters of apple juice did the company produce?

Answers

Answer:

two trillion nine hundred forty-six billion five hundred million

The company produced 2946.5 billion milliliters.

What is multiplication?

Multiplication is a mathematical arithmetic operation.

The process of adding the same number many times is repeated addition.

Multiplication is a repeated addition.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Last year,

a company that makes apple juice produced 8.3 billion bottles of apple juice.

And 355 milliliters of juice occupied by each bottle.

then the company produced,

= 355 x 8.3 billion milliliters,

= 2946.5 billion milliliters.

Therefore, 2946.5 billion milliliters.

To learn more about multiplication;

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Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date of the decedent’s death. The executor distributes the land to Kelly on November 12, 2018, at which time the fair market value is $49,000. The fair market value on February 4, 2019, is $45,000. In filing the estate tax return, the executor elects the alternate valuation date. Kelly sells the land on June 10, 2019, for $48,000. What is herrecognized gain or loss? ($1,000) ($2,000) ($47,000) $1,000 None of the above

Answers

Answer:

The correct option is;

Her recognized loss is ($1,000)

Step-by-step explanation:

The given information are;

The basis of the land to the decedent = $95,000

The land's market value on 4th of August 2018 when the decedent died  = $50,000

The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019

The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019

The market value of the land on 4th of February 2019 = $45,000

∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000

The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000

The value at which Kelly sells the land on June 10, 2019 = $48,000

Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;

Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)

Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)

Therefore, Kelly's recognized loss = ($1,000).

Plz help !!!! Failing class plz help!!

Answers

Answer:

that is alot  I  would help you but I don't know how to do it

Step-by-step explanation:

Question 14
1 pts
Which of the following equations represents a line perpendicular to y=1/4x-1?
y = -3/2x+6
y = 3/2x-2
y = -2/3x+7
y = 2/3x-3

Answers

Answer:

its the first option, y = -3/2x+6

Step-by-step explanation:


Sally is 6 years older than Ali. Together the sum of their ages is 34. How old is each of them?

Answers

Answer:

34-6=?

Step-by-step explanation:

34-6=?

Answer:

Ali is 14

Sally is 20

Step-by-step explanation:

let's call Sally S.

let's call Ali A.

using what's given, you can make this equation:

A + 6 = S

(because Ali is 6 years younger than Sally)

you can also make this equation:

A + S = 34

(because the sum of their ages is 34)

now, substitute S for A + 6.

A + A + 6 = 34

2A + 6 = 34

subtract 6 from both sides of the equation

2A + 6 - 6 = 34 - 6

2A = 34 - 6

2A = 28

divide both sides of the equation by 2

2A/2 = 28/2

A = 28/2

A = 14

almost done! now you just need to substitute A for 14 in the first equation.

A + 6 = s

14 + 6 = s

20 = s

Ali is 14

Sally is 20

A box of chocolates contains 18 chocolate squares 10 of the squares are in milk chocolate five or dark chocolate and 3 are white chocolate is Christie randomly chooses a Chocolate out of the box what is the probability of her choosing a white chocolate square

Answers

Answer:

3/18

Step-by-step explanation:

3/18 or 0.17 rounded.

Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan $255.94. What was the amount of the loan?

Answers

Answer:

$243.17

Step-by-step explanation:

X+(X*5.25/100)=255.94

Make x the subject

X=243.17

If y is directly proportional to x. if y = 30 when x = -5, what is the value of y when x = 3?​

Answers

Answer:

the correct answer is -2. I hope this helped

Which number line represents all of the values of X for the equation X^2 equals 64?

Answers

Answer:

The first one

Step-by-step explanation:

PLEASE HELP!! MATH FINAL :)) no explanation needed.

Answers

Answer:

195 or 15^2- 2(15)

Step-by-step explanation:

Help please! this is critical i need help so bad :(
Which sequence of transformations creates a similar, but not congruent, triangle?

a. Rotation and translation
b. Reflection and rotation
c. Dilation and rotation
d. Translation and reflection

Answers

Answer:

I believe that it is A

Step-by-step explanation:

Rounded 2.317 to the nearest thousand

Answers

Answer:

2.32

Step by Step Explanation:

5 and above, Give it a shove

1 rounds to 2 because of the 7

2.317 = 2.32

You are helping to prepare a large kettle of chicken noodle soup. You need to peel 60 carrots. You have peeled 18 carrots already. It has taken you 9 minutes to peel the 18 carrots. How many more minutes will it take you to peel the rest of the carrots?

Answers

Answer:

21 minutes

Step-by-step explanation:

60 - 18 = 42

18 carrots ÷ 9 minutes = 2 carrots per minute

42 ÷ 2 = 21

NEED HELP 15 points please help!!!

Answers

Can you make the question more clear please
Its bs times 3 time 4 equals you dumb

Your first job is to babysit a couple of times a week. You charge a flatfeet of $10 for transportation back and forth to the house plus $5.50per hour. Let t be the time in hours that you babysit. Write algebraic expression to define the amount of money you will make for t hours of work.

Answers

Answer: 10 + 5.5t

Step-by-step explanation:

Amount charged for transport = $10

Amount charged pee hour of babysitting = $5.50

Number of hours to babysit = t

The algebraic expression to define the amount of money you will make for t hours of work will be:

= $10 + $5.50t

= 10 + 5.5t

Factor completely 4p2 - 25q2 =

Answers

Answer: 2(4p - 25q)


Explanation: 4p*2 = 8p - 25q*2 = 8p - 50q = 2(4p - 25q)

Who can do number 3 for me quick plss

Answers

Answer: -14

Step-by-step explanation:

A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.3 m long. The woman hopes to land in the water at a point that is 13.7 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 89°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre.

Answers

Answer:

6.4 m

Step-by-step explanation:

The image attached is a representation of the question. to the river hence the distance between the place where she landed and the rock where she was standing must be horizontal. We are now required to find the shortest vertical distance between the point where the rope was tied and the place where she wants to land.

Note that the woman used the rope to move down in

Applying the cosine rule;

[tex]c^{2} = a^{2} + b^{2} -2ab Cos C[/tex]

[tex]c^{2} = 13.7^{2} + 7.3^{2} - 2(13.7 *7.3) Cos 89o[/tex]

[tex]c^{2} = 6.4 m[/tex]

What is the solution to 8x - 3(2x - 4) = 3x - 18?

Answers

Answer:

X=30

Step-by-step explanation:

The answer is X=30

و please tell me what the slope is​

Answers

Answer: slope = 6

Step-by-step explanation:

Slope is rise over run.

Find two perfect points and see how many up/down you go and how many left/right you go.

On this one, you go up 6, right 1.

6/1 is 6.

Hope this helps!

Answer:

6

Step-by-step explanation:

m=y2-y1/x2-x1

take two points from the graph (0, -1) and (1, 5)

5-(-1)=6

1-0=1

6/1=6

hope this helps :3

Me after jumping in joy after I found out Netflix is facing criminal charges

Answers

lol same tbh even tho ion  have netflix anymore

Carl is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points past the finish line. On Carl's map, the last water station is at − 27 1 4 −27 4 1 ​ minus, 27, start fraction, 1, divided by, 4, end fraction meters, and his family is watching him at 9 1 2 9 2 1 ​ 9, start fraction, 1, divided by, 2, end fraction meters. What does 0 00 meters represent?

Answers

Answer:

0 represents the start point

Step-by-step explanation:

Given

[tex]Before\ Finish\ Line = -27\frac{1}{4}[/tex]

[tex]After\ Finish\ Line = 9\frac{1}{2}[/tex]

Required

What does 0 represents

In a race; there's always a starting point, irrespective of the current position of the racer.

This position is always at the 0 point.

Hence:

The 0 meters represents the start point

Answer:

The finish line

60 points and branilest if you answer



It takes 3 ½ spoons of chocolate syrup to make 3 ⅗ gallons of chocolate milk. How many spoons of chocolate syrup would it take to make 6 gallons of chocolate milk ?

Answers

Answer: 4 gallons require 5 5/39 spoons of syrup

Step-by-step explanation:

Given it takes 3 2/6 spoons to make 2 3/5 gallons of chocolate milk

i.e. 20/6 spoons make up 13/5 gallons of milk

⇒1 gallon require 20/6/13/5  spoons of milk

⇒ 20 x 5/6 x 13 spoons of milk

⇒ 100/78 spoons of milk

Therefore 4 gallons require 4 x 100/78 spoons

⇒ 400/78 spoons

⇒ 200/39 spoons

⇒ 5 5/39 spoons

Answer:

5 5/6 spoons

Step-by-step explanation:

We can use ratios to solve

3 1/2 spoons        x spoons

--------------    = ------------------

3  3/5 gallons       6 gallons

Using cross products

3 1/2 *6 = 3 3/5x

Changing to an improper fraction

7/2*6= 18/5*x

21 = 18/5x

Multiply by 5/18

21 * 5/18 = 18/5 x*5/18

21/18 *5 =x

7/6 *5 =x

35/6=x

Changing to a mixed number

5 5/6 spoons

True or False
A function is a relation in which each y value has ONLY 1 x value,
True
False

Answers

Answer:

true

Step-by-step explanation:

because you look c u t 3

AYEEEEE i need help again because i dont know nothing

Answers

Answer:

its D

Step-by-step explanation:

"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)

Im imposter yay

if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.

Answers

I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.

Answer:

n=31°

Step-by-step explanation:

If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.

We can see that angles 2 and 3 form a right angle, or:

[tex]m\angle 2 + m\angle 3=90^\circ[/tex]

We are also given that:

[tex]m\angle 2=2n-4[/tex]

[tex]m\angle 3=n+1[/tex]

Substituting (get rid of the units):

[tex]2n-4+n+1=90[/tex]

Joining like terms:

[tex]3n-3=90[/tex]

Adding 3:

[tex]3n=90+3=93[/tex]

Solving:

[tex]n=93/3[/tex]

n=31°

Given the relation y = −4x2 − 8, if the input is 2, what is the output

Answers

Y equals negative 24 because you multiply the negative 4 and the two to get -8 then you multiply -8 with positive 2 to get -16 - 8. Then you subtract that and you get -24 as your answer.

There are 3 batteries that go in a laser pointer if you had 100 lasers and took away the batteries of 5 lasers how much batteries do you have?

Answers

Answer:

285

Step-by-step explanation:

300-15=285

Answer:

285

Step-by-step explanation:

3 x 100 = 300

3 x 5 = 15

300 - 15 = 285

Hope This Helps!

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