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
Casey bought sandwiches and bags of chips. Each sandwich cost three times asmuch as a bag of chips. She bought 5 sandwiches for
Lerok [7]

Answer:

Casey Bought 6 bags of chips

Step-by-step explanation:

If each sandwich costs 3 times the amount of a bag of chips and the sandwich is 6 dollars, the chips are 2 dollars. Casey bought 5 sandwiches and spent $30 dollars on sandwiches. Since the total was $42 dollars you have $12 dollars left to get your total of $42. 2x6 = 12 so therefore Casey bought 6 bags of chips.

5 0
3 years ago
Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,
ololo11 [35]

Answer:

From the graph attached, we know that \angle 1 \cong \angle 5 by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like \angle 1 and \angle 5.

We also know that, by definition of linear pair postulate, \angle 3 and \angle 1 are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that \angle 3 and \angle 1 together are 180°, because they are on a straight angle. That is, m \angle 3 + m \angle 1 = 180\°

If we substitute \angle 5 for \angle 1, we have m \angle 3 + m \angle 5 = 180\°, which means that \angle 3 and \angle 5 are also supplementary by definition.

4 0
3 years ago
Read 2 more answers
10 cm<br> What’s the answer?
KIM [24]

Answer:

if im correct it should be 40

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The conservation club has 32 members. There are 18 girls in the club.
guapka [62]
The amount of girls in the club is 18 out of the 32 members.
To find the amount of boys there, we subtract 18 out of 32
32 - 18 = 14
so there are 14 boys in the club

Now to find the ratio of girls to boys...
18/14
simplified to 9/7 (option D.)

Hope this helps :)
3 0
3 years ago
Read 2 more answers
Four times the sum of 8 and some number is 4. What is the number?
Lunna [17]

Answer:

\Huge \boxed{\mathrm{-7}}

\rule[225]{225}{2}

Step-by-step explanation:

Let the number be x.

4(x+8)=4

Dividing both sides by 4,

x+8=1

Subtracting 8 from both sides,

x=-7

The number is -7.

\rule[225]{225}{2}

3 0
3 years ago
Read 2 more answers
Other questions:
  • Help , least to greatest
    12·1 answer
  • Find 5 points that satisfy the equation y= 12+2x
    12·1 answer
  • Question 1<br> 8x + y = 2020: Solve for y.
    6·2 answers
  • 130 divided by 2.5 equals
    6·2 answers
  • Really stuck with this equation someone please solve this with working asap much appreciated
    7·1 answer
  • Y=7x+3 7x-6y=-18 substitution
    13·2 answers
  • The following statements as true or false.
    13·1 answer
  • Can I get some help on the last question?
    11·1 answer
  • How many isosceles triangles are in a rectangle
    10·2 answers
  • My sister and I each brought a bottle of sunblock to the beach. My bottle had 89ml and my sister’s had 147ml. How much more sunb
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!