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

1 x 1
2 x 2
4 x 4
16 x 16
200 x 19.56

Answers

Answer:

we should solve it or what should we do...

Write the product as a power:

(xy) (xy) (xy) (xy)

Answers

Answer:

(xy)⁴

Step-by-step explanation:

We have 4 xy terms multiply together. That means we can rewrite it as a power of 4.

Answer:
x^4y^4

Explanation:
We can rewrite this equation grouping all the x variables together and all the y variables together because they are all being multiplied.

(xy) (xy) (xy) (xy)
=x*x*x*x*y*y*y*y
=x^4y^4

I hope this helps! Please comment if you have any questions.

Please please help meee

Answers

Answer:

<X= 111 , <Y= 69, <Z 111

Step-by-step explanation:

X and Z are corresponding

solve for Y

180-111= 69

Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it? *

Answers

Answer:

Step-by-step explanation:

Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;

1, 2, 4...

The nth term of an arithmetic sequence is expresses as;

[tex]T_n = ar^{n-1}[/tex] where;

a is the first term

r is the common ratio

n is the number of terms

To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).

from the sequence above;

a = 1

r = 2/1 = 4/2 = 2

T4 = 1(2)^{4-1}

T4 = 2^3

T4 = 8

Hence the hydra will have 8 heads on the third day.

To know the number of heads at the end of 10 days, we will find the 11th term of the progression

T11 = 1(2)^{11-1}

T4 = 2^10

T4 = 1024

He will have 1024 heads after 10 days of trying to kill the monster.

The number of heads that would the Hydra have on the third day is 8

And, at the end of 10 days of trying to kill it is 1024.

The calculation is as follows:

a = 1

r = 2 by 1 = 2  

T4

= 8

So the hydra will have 8 heads on the third day.

Now  

To know the number of heads at the end of 10 days, we will determine the 11th term of the progression

= 1024

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sentence
A banquet hall charges $15 per person plus a $100 setup fee. The cost for x people is given by the
function
f(x) = 100 + 15x
Find F(1000)
What does F(1000) mean within the context of the problem?
(Hint start with your Independent x-value)
Independent Dependent
(X-Value) (Y-Value)
Numeric
Represents
P....
Sentence:
I

Answers

Answer:

Step-by-step explanation:

Solve proportion 2/4.5=t/0.5

Answers

0.2 or 2/9 in fraction form I believe.

Which of the following must always be true about vertical angles

Answers

Answer:

It is always a strait line going up.

Step-by-step explanation:

Answer:

vertical angels

angles opposite each other where two lines cross.

plz mark brainliest

Step-by-step explanation:

The shoes cost 35.00 and the tax is 6.5%. How many tax will you pay on the shoes?

Answers

Answer:

The tax is 2.28

Step-by-step explanation:

Take the cost of the shoes and multiply by the tax rate

35 * 6.5%

Change to decimal form

35 * .065

2.275

Round to the nearest cent

2.28

The tax is 2.28

PLEASE HELP ME BY ANSWERING AT LEAST 2 QUESTIONS ITS DUE IN 20 MINUTES

Answers

Answer:

Barry gets 300 first

Cheri gets 30 first

Barry gets 100 first

Representations:

Barry's profit = 5c + 20

Cheri's profit = 2c + 40

Step-by-step explanation:

well Barry's pprofit is

B = 5c + 20

and Cheri's profit is

C = 2c + 40

let's see who will get 300 first:

300 = 5c + 20

280 = 5c

56 = c

300 = 2c + 40

260 = 2c

130 = c

SO for 300 it is Barry who gets it first... same steps for others

What is the approximate area of the circle shown below

Answers

It’s letter B 1662cm^2

help if u can please

Answers

Money with Tom = ×

Money with Aaron = x + 8

Their sum = $20

This can be written as :

= x + x + 8 = 20

= 2x + 8 = 20

= 2x = 20 - 8 ( transposing +8 from LHS to RHS changes +8 to -8 ) .

= 2x = 12

= x = 12 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 ) .

= x = 6

Which means ,

Tom has = x = $6

Aaron has = x + 8 = $6 + $8 =

= $14

Therefore , Tom has = $6 and Aaron has = $14 .

THANK YALL FOR YALLS HELP CAN yall answer this 5x3x4x5= and how do you give someone a brainiest

Answers

I think the answer is

300

Answer: 5X^12

Step-by-step explanation: 5*x3*x4*x5

=5*x12

=5x12

reciprocal of the fraction 3/7 is​

Answers

Answer:

A simple example - the reciprocal fraction of 3/7 is 7/3. As you can see, a reciprocal of a fraction is just flipping the numerator and denominator.

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

reciprocal, refliprical is a great way to remember how to solve. You just flip the fraction.

Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1

Answers

Answer:

D

Step-by-step explanation:

y=kx+m

In this case I think the slope would be k.

k=y2+y1 / x2+x1

(4,-1) and (-1,4)

k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1

by looking at the pattern , find the missing term​

Answers

Answer:

where the pattern??????

Answer:

where is the pattern

Step-by-step explanation:

Hi if you can answer this i'll mark u brainllest and give you MORE points
How can you work backward from 1/3 to check the answer when converting 0.3 as a fraction?

Answers

Well, one thing you can do is divide. So you start from 0.3 to 1/3

If going backward, here are the steps:

1. Divide. That’s all you gotta do
1/3= 0.333333....

So I hope this helps!

1. (3x + 7) + (8x + 2)

Answers

11x+9


Step by step:
Remove the parenthesis
3x+7+8x+2
Collect like terms
11x+7+2
Add 7+2
11x+9

Which one of these is NOT an Irrational Number?

a. 10,000,000
b. 17
C. 37
d. 12

Answers

Answer:

37 is not an irrational number

Step-by-step explanation:

I really need help hurry

Answers

I can’t see the whole problem

Answer:

the answer is A. {-1, 1, 3}

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.
51
Answer: x=
Submit Answer
attempt 1 out of 2

Answers

Answer:

x = 39°

Step-by-step explanation:

The triangle shown is a right angle triangle having angles 90°, 51° and x°.

Sum of interior angles of a triangle = 180°, therefore:

[tex] 90 + 51 + x = 180 [/tex]

Add like terms

[tex] 141 + x = 180 [/tex]

Subtract 141 from each side

[tex] 141 + x - 141 = 180 - 141 [/tex]

[tex] x = 39 [/tex]

x = 39°

Given triangle ABC, determine the location of A' after a translation 2 units left and a reflection over the x-axis.

Answers

Answer:

(0,-3)

Step-by-step explanation:

left 2 puts you at (0,3) and flipping over x axis makes the y value negative, so it's (0,-3)

1. David uses 1 tbsp of sugar for every 1.25 cups of water when he makes lemonade complete the table below by filling in the missing values

Answers

Answer:

Step-by-step explanation:

David uses 1 table spoon of sugar for every 1.25 cups of water to prepare lemonade.

Therefore, Number of table spoons of sugar required (S) ∝ Cups of water required (w)

⇒ S ∝ w

⇒ S = kw

⇒ k = [tex]\frac{S}{w}[/tex]

⇒ k = [tex]\frac{1}{1.25}[/tex] = 0.8

So the formula to calculate the amount of water will be,

S = 0.8w

⇒ w = [tex]\frac{S}{0.8}[/tex]

where k = proportionality constant

Now we can complete the table with the help of the formula.

Sugar (tbsp)                   Water (cups)

      1                                     1.25                                                                      

      7                                    8.75    

      3                                    3.75

      5                                    6.25

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?

Answers

Answer:

1.6hours

Step-by-step explanation:

We know that Speed= distance/ time

But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.

And the distance is given as 800 miles

Then, what we need is to substitute the given Distance into the equation of time.

t= 1/500d. Where d= 800 miles

t= (1/500) × 800 miles

t= 800 miles/500

t= 1.6hours

Hence, it will take the airplane to travel 800 miles , 1.6hours

to remain on the cheerleading squad,Lakita must attend at least 3/5 of the study table sessions offered . she attends 15 sessions . if Lakita met the requirements, what is the maximum number of study table sessions ?

Answers

It would be 9 because 3/5 of 15 is 9

If h(x) = 5 + x and (x) -
, which expression is equivalent to (kºn)(x)?

Answers

Answer:

1/(5+x)

Step-by-step explanation:

The explanation for this is your just substituting 5+x for the x in the 1/x

Hope this helps ! :)

Is 8:3 and 32:12 equivalent fractions

Answers

Answer:

Yes.

Step-by-step explanation: 8/3 is equal to 32/12, but simplified. Hope this helps!

-13 = r/9 + 8

r =


r equals what

Answers

-5=r/9

-45=r

Step-by-step explanation:

you're just trying to get the r alone. so you have to subtract the 8 and multiply the nine. you're just reversing the problem.


-9/6 + (-3/5) help please tytyytytytyyty

Answers

Answer:

-2.1

Step-by-step explanation:

Answer:

-2 1/10

Step-by-step explanation:

[tex] - \frac{9}{6} + ( - \frac{3}{5} ) = - \frac{3}{2} + ( - \frac{3}{5} ) = - \frac{15 + 6}{10} = - \frac{21}{10} = - 2 \frac{1}{10} [/tex]

PLEASE HELP I AM BEING TIMED.

A frame designer is making a triangular frame. she has two sides of length 20 inches and 28 inches. What are the possible lengths for the third side?

Answers

the answer is in the question. it says 2 sides lengths of 20 in. and 1 side of 28 in.
um uh. it might be- well shii- probably- maybe- um well..

Abraham has visited country somebody he has a cold or visiting at least 50 countries he plans to choose a school by visiting five new countries per year (Y) for the next several years which inequality and solution shows the amount of years they will take for Abraham to meet his goal

Answers

Question:

Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.

Answer:

[tex]Countries \geq 50 + 5y[/tex]

[tex]y \leq 29[/tex]

Step-by-step explanation:

Given

[tex]Countries = 50[/tex] ------ at least

[tex]Yearly =5[/tex]

Required

Represent as an inequality

"at least" means [tex]\geq[/tex]

So the countries he has visited can be represented as thus;

[tex]Countries \geq 50[/tex]

If

1 year = 5 countries

y years would be 5y countries

So, in y years; he'd have visited

[tex]Countries \geq 50 + 5y[/tex]

To determine the value of y.

We have that

[tex]Countries = 195[/tex] in the world

Substitute 195 for Countries

[tex]195 \geq 50 + 5y[/tex]

Collect Like Terms

[tex]195 - 50 \geq 5y[/tex]

[tex]145 \geq 5y[/tex]

Divide through by 5

[tex]145/5 \geq y[/tex]

[tex]29 \geq y[/tex]

Reorder

[tex]y \leq 29[/tex]

This means that; he'll visit all countries in at most 29 years' time

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