Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.

Answers

Answer 1

Answer:

10

Step-by-step explanation:

For movie mania:

Sign-up fee = $ 20

Rent for 1 DVD = $ 4.00

For Hurricane video:

Sign-up fee = 0

Rent of 1 DVD = $ 6.

Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.

For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=20+4n

For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=0+6n=6n

Now, for both stores to charge the same, both the charges must be equal, we have

6n=20+4n

[tex]\Rightarrow 6n-4n=20[/tex]

[tex]\Righatarroe 2n=20[/tex]

[tex]\Rightarrow n =20/2=10[/tex]

Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.


Related Questions

Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is ​

Answers

Given:

Four years ago average age of A , B & C was 25 years.

Find:

A's present age

Solution:

Let the ages of A , B , C be A , B , C years.

Age of A before 4 years = (A - 4) years. Age of B before 4 years = (B - 4) years. Age of C before 4 years = (C - 4) years.

We know that,

Average = Sum of observations/Number of observations.

Here,

Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.

Number of observations = 3.

So, (A + B + C - 12)/3 = 25

⟹ A + B + C - 12 = 3 * 25

⟹ A + B + C = 75 + 12

⟹ A + B + C = 87 -- equation (1)

Also given that,

Average age of B & C before 5 years was 20 years.

⟹ (B - 5 + C - 5)/2 = 20

⟹ B + C - 10 = 2 * 20

⟹ B + C = 40 + 10

⟹ B + C = 50 -- equation (2)

Subtract equation (2) from equation (1).

⟹ A + B + C - (B + C) = 87 - 50

⟹ A + B + C - B - C = 37

⟹ A = 37 years

∴ A's present age is 37 years.

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

Make Sense and Persevere A submarine
descends to of its maximum depth. Then it
descends another of its maximum depth. If it
is now at 650 feet below sea level, what is its
maximum depth?

Answers

Answer: 325 feet

Explanation: you cut the amount of feet below sea level in half since it only depended twice. And you get 325

I need the answer!!!! The original price of Doritos is the same at both Wal-Mart and Kroger. Jon found out that Wal-Mart had Doritos on sale at $0.50 off per bag and bought four bags. Later that day, he found out that Kroger had Doritos on sale at $1 off per bag and bought six bags. If he paid the same amount at both stores, what was the original price of Doritos?

write an equation and solve by using the distributive property, combining like terms, and eliminating the variable on one side of the equation. You must SHOW YOUR WORK!!!!

Answers

Answer:

I believe it would be $2 per bag normally.

Step-by-step explination:

If you take $2 and subtract $.50 it is $1.50. Take that multiplied by the number of bags he bought (4), would mean he spent $6 at Wal-mart.

Now $2 subtracted my the sale of $1, is $1 per bag. If he bought 6 bags at Kroger, 1 multiplied by 6, would equal 6. Meaning he spent $6 at both stores if the price was $2.

50 points plus Brainnlest for right answer

What is the equation?
What should you replace for each given variable?
What should you solve for?

Answers

Equations: 60x + 3000 = 3,000, 600 + 150y = 3000

X: 20

Y: 10

You should solve for x & y

Q1: 0, it's already filled up to the max of 3000 pounds.

Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16

I hope this helped, ask if you need more help :)

SOME 1 HELP WITH 11 PLZZZZ

Answers

Answer: Tiffany got 45 questions right! Hope this helped.

Step-by-step explanation:

Please help answering these questions 10 points help please (look at the picture)

Answers

Answer:

46. -22

47. -22

48. 8

Answer:

46) -22

47) -22

48)  8

49) -8

50) -4

51)  4

Step-by-step explanation:

Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.

Which design would give Shanika what she wants?

A. a circular piece of cloth with radius of 90 cm

B. a circular piece of cloth with radius of 110 cm

C. a circular piece of cloth with radius of 100 cm

D. a circular piece of cloth with radius of 130 cm

Answers

The answer is definatly NOT D. I think that the answer is A.

The design that should  give Shanika what she wants is the radius of 90 cm.

Calculation of the design:

Since The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.

So, the radius is

= 40 + 60 - 10

= 90 cm

Learn more about radius here: https://brainly.com/question/3708862

Solve 5(x+9) - 4 = 71 for x

Answers

Solving for x you would get X=6

Answer:

x = 6

Step-by-step explanation:

5 times x is 5x, 5 times 9 is 45; 5x+49-4; 49 minus 4 is 45; 5x+45 = 75; now minus 45 from each side so it would now be 5x = 30; now divide; 30/5 = 6.

Are these expressions equivalent?
yes or no

Answers

Answer:

yes they are equivalent

The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time.
A'(t) =???​

Answers

MARK AS BRAINLIST

Step-by-step explanation:

L = 6t+5

H = √t

A = L*H

= (6t+5) *√t = 6t√t + 5√t

A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t

= 6t/2√t + 6√t + 5/2√t

Expression for the rate of change of the area with respect to time will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second

It's given in the question,

Length of a rectangle is given by the expression

      (6t + 5) cm

Width or height of the rectangle is given by the expression,

       [tex]\sqrt{t}[/tex] cm

Area of the rectangle is given by,

Area = Length × Height

A = (6t + 5)(√t)

A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]

Now find the derivative of area (A) with respect to time (t).

[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]

A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

     Therefore, expression for the rate of change of the area will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

Learn more,

https://brainly.com/question/12596049?

you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase

Answers

Answer:

7

Step-by-step explanation:

one bag of candy for every three people

12 ÷ 4 = 3

21 ÷ 7 = 3

Answer:

7  

Step-by-step explanation:

Apply proportions:

People/bag of candy

[tex]\frac{12}{4}[/tex]

For 21 people

[tex]\frac{21}{x}[/tex]

Equal both expressions

[tex]\frac{12}{4} =\frac{21}{x}[/tex]

Solve for x:

[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]

You should purchase 7 bags of candy

Square ABCD has vertices A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD?

Answers

Answer:

that answer is b

Step-by-step explanation:

hope this helps

The area of square ABCD would be; 64 unit sq.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]    units.

Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).

To find the distance from two of the vertices of the square. The distance formula is as follows;

√[(x-p)² + (y-q)²]  

A(-4.5, 4), B(3.5, 4),

D = √[(x-p)² + (y-q)²]  

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(64 + 0)

D = 8

Therefore, the side of the square is 8 units.

The area of the square = side x side

= 8 x 8

= 64 unit sq.

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ2

8. A department store purchases a coat for $95 To sell the coat to customers, the price is increased by 27°. What is the new price of the coat? [A] $25.65 [B] $69.35 (C) $161 35 - [D] $12065​

Answers

Answer:D

Step-by-step explanation:

$120.65 is the new price of the coat.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

A department store purchases a coat for $95

To sell the coat to customers, the price is increased by 27%

So, the new price of the coat = $95+ $95*27%

                                                 =$120.65

Hence, $120.65 is the new price of the coat.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

What is the slope of the graph of 3x - 3y = 6?

Answers

Answer:

pls help

Step-by-step explanation:

-2 (3x - 6) + 4 (5x - 8) = 92

Answers

Answer: x=7

Step-by-step explanation:

help plz ive been stuck on this for a while now

Answers

Answer:1.20/5

Step-by-step explanation:

Answer:

9/10 or in decimal form 0.9

Step-by-step explanation:

help please show steps please I don't know what to do so I want to learn not just get the answer ​

Answers

The answer is -6 I put the work under here

Find the slope of the line passing through the points (3,7) and (3,-5).

Answers

Answer:

I believe the slope of the line passing through the points is x= -3

Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!

Answers

It would be line A, because of the fact the it is rising at a faster rate.

Answer:

line A is steeper.

Line A´s slope is 1, while line d´s slope is 2/5

help asap
show work
i will make u brainlest.

Answers

Answer:

1. A

2. D

3. A

4. A

Step-by-step explanation:

Question 1:

Switch sides:

5(5 + 4v) > 105

Divide both sides by 5:

5(5 + 4v) / 5 > 105/5

Simplify:

5 + 4v > 21

Subtract 5 from both sides:

5 + 4v - 5 > 21 - 5

Simplify:

4v > 16

Divide both sides by 4:

4v/4 > 16/4

Simplify:

v>4

Question 2:

Expand:

5m - 3m - 6 < 24 - 3m

Add similar elements:

2m - 6 < 24 - 3m

Add 6 to both sides:

2m - 6 + 6 < 24 - 3m + 6

Simplify:

2m < -3m +30

Add 3m to both sides and simplify:

5m < 30

Divide both sides by 5:

5m/5 < 30/5

Simplify:

m<6

Question 3:

Expand:

18x + 12 ≤ -39 + x

Subtract 12 from both sides and simplify:

18x ≤ x - 51

Subtract x from both sides and simplify:

17x ≤ -51

Divide both sides by 17 and simplify:

x ≤ -3

Question 4:

Add similar elements:

-3m + 5m = 2m

Expand and simplify:

2m ≥ -12m

Add 12m to both sides and simplify:

14m ≥ 0

Divide both sides by 14 and simplify:

m ≥ 0

23.79 divided by 3 estimate

Answers

Answer:

Answer: 7.93

Estimate: 8

Answer: 7.93, or to the nearest tenths, 7.9

What is the equation of the line that passes through the point (6,-4) and has a
slope of -1/6

Answers

Answer:

y = -1/6x-3

hope this helps

Answer:

x+6y+18=0

Step-by-step explanation:

we have to use (y-y1)=m(x-x1)

now,(x1,y1)=(6,-4),m=-1/6

so, (y+4)=-1/6(x-6)

or,6y+24=-x+6

or,x+6y+24-6=0

x+6y+18=0 is the required equation.

Multiply 2.89x 23.2 =​

Answers

2.89 x 23.2
289 x 232 = 67048
67.048

67.048

Find the area of the whole triangle . Show all work.

Answers

Answer:

44 i believe

Step-by-step explanation:

Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?

Answers

ill give u the answer hold up i gotta do the work

Answer:

t≈ 8

Step-by-step explanation:

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

 

Compound interest formula

A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12

A=109700P=97000r=0.016n=12

Given values

109700=

109700=

\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}

97000(1+  

12

0.016

​  

)  

12t

 

Plug in values

109700=

109700=

\,\,97000(1.0013333)^{12t}

97000(1.0013333)  

12t

 

Simplify

\frac{109700}{97000}=

97000

109700

​  

=

\,\,\frac{97000(1.0013333)^{12t}}{97000}

97000

97000(1.0013333)  

12t

 

​  

 

Divide by 97000

1.1309278=

1.1309278=

\,\,1.0013333^{12t}

1.0013333  

12t

 

\log\left(1.1309278\right)=

log(1.1309278)=

\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)

log(1.0013333  

12t

)

Take the log of both sides

\log\left(1.1309278\right)=

log(1.1309278)=

\,\,\color{blue}{12t}\log\left(1.0013333\right)

12tlog(1.0013333)

Bring exponent to the front

\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=

log(1.0013333)

log(1.1309278)

​  

=

\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}

log(1.0013333)

12tlog(1.0013333)

​  

 

Divide both sides by log(1.0013333)

92.3402971=

92.3402971=

\,\,12t

12t

Use calculator

\frac{92.3402971}{12}=

12

92.3402971

​  

=

\,\,\frac{12t}{12}

12

12t

​  

 

Divide by 12

7.6950248=

7.6950248=

\,\,t

t

8. The length of an actual road is
1,000 miles. If 1 inch represents
100 miles, what is the length of
the road on the map?

Answers

Answer:

It's A.

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

1,000 / 100 = 10

If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?​

Answers

Answer:

if u get it pls tell me

Step-by-step explanation:

(14+13n+3n^3)+(2+4n+9n^3)

Answers

Answer:

=12n3+17n+16

i hope this helps :)

I need help with this riddle rq

Answers

$0.12 for a dozen, so $0.01 per one egg; 100 eggs for $1.00 (if they’re only sold in dozens, then 96)
12 eggs for 12 cents is 1 cent per egg. Therefore 100 cents, or $1 per 100.

For each set of angle measurements, determine if they would form a triangle (Answer YES or NO for
each)
1. 120, 50, 10
2. 100, 91. 25
3. 90, 60, 30
4. 77, 54, 49
5. 177. 2,1

Answers

Answer:

1. yes

2. no

3. yes

4. yes

5. yes

Step-by-step explanation:

All triangles have 3 angle measurements that add up to 180

I did these all mentally so do double check :)

Other Questions
Help Please! :(108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus? Please include algebraic equation and answer. Darby Company, operating at full capacity, sold 500,000 units at a price of $94 per unit during the current year. Its income statement is as follows:Sales $47,000,000Cost of goods sold 25,000,000Gross profit $22,000,000Expenses: Selling expenses $4,000,000 Administrative expenses 3,000,000 Total expenses 7,000,000Income from operations $15,000,000The division of costs between variable and fixed is as follows:Variable FixedCost of goods sold 70% 30%Selling expenses 75% 25%Administrative expenses50% 50%Management is considering a plant expansion program for the following year that will permit an increase of $3,760,000 in yearly sales. The expansion will increase fixed costs by $1,800,000 but will not affect the relationship between sales and variable costs.Required:1. Determine the total variable costs and the total fixed costs for the current year.Total variable costs $_____Total fixed costs $_____2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.Unit variable cost $_____Unit contribution margin $_____3. Compute the break-even sales (units) for the current year.4. Compute the break-even sales (units) under the proposed program for the following year.5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $15,000,000 of income from operations that were earned in the current year.6. Determine the maximum income from operations possible with the expanded plant.7. If the proposal is accepted and sales remain at the current level, what will the income or loss from operations be for the following year?8. Based on the data given, would you recommend accepting the proposal?a. In favor of the proposal because of the reduction in break-even point.b. In favor of the proposal because of the possibility of increasing income from operations.c. In favor of the proposal because of the increase in break-even point.d. Reject the proposal because if future sales remain at the current level, the income from operations will increase.e. Reject the proposal because the sales necessary to maintain the current income from operations would be below the current year sales. Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. Ex = 6 5x, (0, 1) The equation ex = 6 5x is equivalent to the equation f(x) = ex 6 + 5x = 0. F(x) is continuous on the interval [0 .What were some impacts of the TransSaharan trade route?Why was the Trans Sahara trade routeimportant? What caused the growth of the transSaharan trade? When the authors say "But that doesn't mean you'recompletely off the hook" in the section "SelectiveService & the Draft," they employ which literary device? Cari created a list of ways to reduce her spending. Which activity should she omit from her list? Choose the correct answer below. use less expensive places for services such as haircuts wear items of clothing for an extra season buy store brands instead of name brands for food and other items rely on friends to treat me when I am out of money In Lincolns first inaugural address he states the following:"In your hands, my dissatisfied fellow-countrymen, and not in mine, is the momentous issue of civil warYou can have no conflict without being yourselves the aggressorsI shall have the most solemn [oath] to 'preserve, protect, and defend [the Union]'."What is his message to the secessionists? Select the two correct responses.A. Lincoln will take full responsibility for the start of a Civil War.B. Lincoln places blame on the secessionists if the country goes to war.**C. Lincoln believes history will judge his decision to start the Civil War as the correct option.D. Lincoln believes the only possible resolution is to engage in war.E. Lincoln will do his best to find a peaceful resolution.** Rubbing alcohol or isopropanol can be described by the chemical formula C3H7OH. One milliliter of isopropanol has a mass of 0.76 g, so its density is 0.76 g/mL. Isopropanol is often used as a cleaner or a disinfectant and evaporates when placed on warm objects. However, caution must be taken when using isopropanol, because it is also highly flammable. Which of the following is a chemical property of isopropanol? A. One mL of isopropanol has a mass of 0.76 g. B. Isopropanol has a density of 0.76 g/mL. C. Isopropanol evaporates when placed on a warm object. D. Isopropanol is flammable. Answer the following questions in complete sentences using the correct forms of the verb ir. Follow the model, and remember to use correct capitalization and punctuation. What are the four steps involved in the process of behavior change? Level 1 01 Which correctly pairs the outside particles with their charge? A. Electrons: Positive B. Protons: Positive C. Neutrons: Neutral D. Electrons: Negative list ten volcablary you know HURRY PLEASE!! Ill mark you as brainliestWhich graph shape would represent the connectedpoints in Celeste's function table?A. A straight line that slopes up from left to rightB. A straight line that slips down from left to rightC. A symmetrical V shape that opens downD. A symmetrical face shape that opens up g At this party, is the fact that a person is from South America independent of that person being majoring in biomedical engineering? (GIVING BRAINLIEST TO FIRST CORRECT ANSWER)What is the equation, in slope intercept form, for the given graph? what makes -1.3 a non integer can someone please help? By what means did he seek to expand his empire from the West? An equation is blank =540 Lawrence is a long distance runner on the schools track and field team. Proper nutrition is very important for athletes so Lawrence wants to make the right food choices before a big track meet.Given what you know about how food is broken down to provide energy in the body, which is the best choice for Lawrence to eat before his event?a supplement bar that provides 500 Calories composed of complex sugarsa candy bar that provides 500 Calories composed of simple sugarsa protein shake that provides 500 calories composed of complex sugarsa fruit smoothie that provides 500 calories of simple sugars