1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iren [92.7K]
2 years ago
10

A movie club charges a one-time membership fee of $25. It allows members to purchase movies for $7 each. Another club does not c

harge a membership fee and sells movies for $12 each. How many movies must a member purchase for the total cost of the two clubs to be equal?
Mathematics
2 answers:
sashaice [31]2 years ago
7 0

Answer: $$5$$ movies

Step-by-step explanation: Given: A movie club, one time fee

=

$

25

, movies

=

$

7

       

2nd club,

$

0

fee, movies

=

$

12

Cost equations for each club:

club 1:

C

1

=

25

+

7

M

club 2:

C

2

=

12

M

For the clubs cost to be equal:

C

1

=

C

2

25

+

7

M

=

12

M

Subtract

7

M

from both sides:

25

=

5

M

Divide by

5

:

M

=

25

5

=

5

5

movies

CHECK:

C

1

=

25

+

7

⋅

5

=

25

+

35

=

$

60

C

2

=

12

⋅

5

=

$

60

Free_Kalibri [48]2 years ago
4 0

Answer:

5 movies

Step-by-step explanation:

<u>Define the variables:</u>

  • x = number of movies purchased
  • y = total cost

Create two equations from the given information.

<u>Equation 1</u>

Given:

  • A movie club charges a one-time membership fee of $25.
  • It allows members to purchase movies for $7 each.

⇒ y = 25 + 7x

<u>Equation 2</u>

Given:

  • Another club does not charge a membership fee.
  • It sells movies for $12 each.

⇒ y = 12x

To find how many movies a member must purchase for the total cost of the two clubs to be equal, <u>substitute</u> Equation 2 into Equation 1 and solve for x:

⇒ 12x = 25 + 7x

⇒ 12x - 7x = 25 + 7x - 7x

⇒ 5x = 25

⇒ 5x ÷ 5 = 25 ÷ 5

⇒ x = 5

Therefore, a member must purchase 5 movies for the total cost of the two clubs to be <u>equal</u>.

Learn more about systems of equations here:

brainly.com/question/27034625

brainly.com/question/27868564

You might be interested in
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or
Whitepunk [10]

Answer:

1 in 15 chance

Step-by-step explanation:

There are 3 character which gives you a 1 in 3 chance of being an elf.

There are 5 defense tools which gives you a 1 in 5 chance of getting magic.

3×5=15 which gives you a 1 in 15 chance of being a magic elf.

8 0
3 years ago
Solve for x: 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x .
harina [27]
  3              1                   10
------ + --------------- =  ----------
 3x          x +4                 7x

      1            1                 10
    ------ + ------------ =  ----------
      x          x +4               7x


       x + 4 + x           10               
   ------------------ =  ----------
       x(x +4)             7x

       2x + 4                10               
 ------------------ =  ----------
       x(x +4)                7x

    7x(2x + 4) = 10x(x+4)
  
  14x^2 + 28x = 10x^2 + 40x

  4x^2  - 12x = 0
  4x(x - 3) = 0
  4x = 0
    x = 0
 x - 3 = 0
      x = 3

answer x = 0 and x = 3




8 0
3 years ago
Read 2 more answers
I need help with these .help me plz
Zepler [3.9K]

Answer:

The answer to your question would be Area = 280.13

Step-by-step explanation:

Area of the circle without the square: 380.13

Area of the square: 100

380.13 - 100 = 280.13


3 0
3 years ago
The book store is having a sale where all hardcover books are 20% off. Jamie also has a coupon for 15% off any fiction book. Jam
scoray [572]

You can use the fact that both 20% and 15% discounts will be merged to reduce 35% of the price of the book that Jamie buys.

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3>
How are discounts calculated for the case when its sale and we've got discount coupons too?</h3>

Suppose the sale gives p% off.

And the discount coupon provides q% off.

Then we have total discount applied on the cost of the object bought as

(p+q)%

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

<h3>Using the above fact to calculate the amount that Jamie saved </h3>

Since the sale offers 20% discount and Jamie has got 15% discount coupon for any fiction book, thus, total 35% will be discounted if Jamie buys fiction book.

Since the price of the fiction book that Jamie brought is $32.99, thus,

Saved amount = 35% of $32.99 = \dfrac{32.99}{100} \times 35 = 0.3299 \times 35 \approx \$11.55

Thus,

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3 />

Learn more about percentage here:

brainly.com/question/11549320

5 0
2 years ago
Half of a set of the parts are manufactured by machine A and half by machine B. Ten percent of all the parts are defective. Six
baherus [9]

Answer:

The probability that a part was manufactured on machine A is 0.3

Step-by-step explanation:

Consider the provided information.

It is given that Half of a set of parts are manufactured by machine A and half by machine B.  

P(A)=0.5

Let d represents the probability that part is defective.

Ten percent of all the parts are defective.

P(d) = 0.10

Six percent of the parts manufactured on machine A are defective.

P(d|A)=0.06

Now we need to find the probability that a part was manufactured on machine A, and given that the part is defective :

P(A|d) =\frac{P(A \cap d)}{P(d)}

P(A|d) =\frac{P(d|A)\times P(A)}{P(d)}\\P(A|d)= \frac{0.06\times 0.5}{0.10}

P(A|d)= 0.3

Hence, the probability that a part was manufactured on machine A is 0.3

8 0
2 years ago
Other questions:
  • The graph of the function f(x) = ax2 + bx +c (where a, b, and c are real and nonzero) has two x-intercepts. Explain how to find
    12·2 answers
  • there are 5 cups of oat meal in a container. stella eats 1/3 cup of the oat meal every day for breakfast. in how many days will
    11·2 answers
  • Order these numbers from least to greatest -4/5, 7/8, 0, -7, 1/2, 2
    12·1 answer
  • Solve the following eqation for x: 6(4x+5)+3=3(x+8)+3. Round to the nearest hundredth
    14·2 answers
  • Which word best describes their measures? angles 1 and 2 form a right angle
    14·2 answers
  • What is the answer X + 2x when x = 2/3
    12·2 answers
  • The height of the isosceles triangle is twice the length of its base what are the coordinates of the undefined vertex ?
    13·1 answer
  • Which table represents a function?
    15·1 answer
  • Can you please help me
    9·1 answer
  • PLZ HELP!!! I’ll give brainly !!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!