A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
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 the
same? Write an equation, and solve
the equation to determine the
solution.

Answers

Answer 1

Answer:

Step-by-step explanation:

Club A charges $30 membership fee and charges $7 for each movie.

You can write this as :

A = 30 + 7m  (where m = number of movies)

Club B charges no membership fee and it costs $12 for each movie.

B = 12m

If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.

30 + 7m = 12m

Now you can just subtract 7m from both sides.

30 = 5m

Divide both sides by 5 to find "m'.

m = 30/5 = 6

Therefore a member must purchase 6 movies


Related Questions

How do you convert an equation into slope intercept form? do you solve for x or solve for y

Answers

Answer:

An equation using the slope-intercept form would be y=mx+b. M would be the slope and b would be the intercept. For example, if slope:5 and intercept:6 the equation would be y=5x+6. Hope I helped!

The cooking club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating 3 pies to the club. Each pie was then cut into 6 pieces and sold. There were a total of 72 pieces to sell. How many pies did the cooking club bake?

Answers

Answer:

9 pies

Step-by-step explanation:

From the question, we were given,

Number of pies = 3

Number of pieces cut from each pie = 6

Given total number of pieces to sell = 72

But the Number of pieces from 3 pies = 3×6

=18

so, Number of pieces the club needed to make is given = 72-18= 54

Since each pie is cut into 6 pieces

And number of extra pieces needed = 54

Then the number of pies the cooking club bake is 54/6= 9 pies

Therefore, the club bake 9pies

Jen bought 5 CD's for $57.50. What was the unit price?

Answers

Answer:

$11.50 per CD

Step-by-step explanation: u have to make 5 into 1, thats divinding. Then u divide $57.50 by 5, there's your unit price :)

y−1=−2(x−2) in slope intercept form

Answers

Answer:

[tex]y = - 2x + 5[/tex]

Step-by-step explanation:

Simply simplify the equation from what it is to the slope intercept format:

[tex]y = mx + b[/tex]

Step-by-step explanation:

Hey there!

We know;

The slope intercept form of equation is;

y = mx+c

So, let's try to take it in this form.

(y-1) = -2(x-2)

Multiply -2 and (x-2)

(y-1) = -2x + 4

Take '-1' to right side.

y = -2x+4+1

y = -2x+5

Therefore, the equation is y = -2x+5.

Hope it helps...

When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounces of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 666 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer:

Answers

Answer:

45mL hot cocoa is more chocolatey

Step-by-step explanation:

When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.

20mL = 3 ounces

x = 1 ounce

cross multiply

3x = 20

x = 20/3

x = 6.67 mL

This means he must have add 6.67mL of chocolate to 1 ounce of water.

Similarly, if 45mL is added to every 6 ounces

45mL = 6ounces

x = 1 ounce

cross multiply

6x = 45

x = 45/6

x =  7.5mL

This means he must have add 7.5mL of chocolate to 1 ounce of water.

The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa

Answer:

eli's cocoa is more chocolately. i would show proof (on khan academy), but I just skipped the q. :|

Step-by-step explanation:

What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?

Answers

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

Answer:

1.13

Step-by-step explanation:

A 6% decrease would be 0.94 and a 19% increase after that would be 1.13

2 5. 8 11 X 2 -4 8 у 14 What is the equation of the given table?​

Answers

Answer:

8-6+-2

Step-by-step explanation:

for how many tickets is the cost the same for club members and non-members?​

Answers

Answer:

The cost will be the same for 2 club members as for 1 non-member.

Step-by-step explanation:

There will never be a number of tickets where the price for a given number of club members is the same for the same number of non-members.

However, if two club members purchase tickets, their cost is 2($3) = $6.

If one non-member purchases a ticket, the cost is 1($6) = $6.

In the video game Fantasy Farm, it takes 5 6 6 5 ​ start fraction, 5, divided by, 6, end fraction of a minute to harvest magic flowers, and it takes 5 6 6 5 ​ start fraction, 5, divided by, 6, end fraction of an hour to build a golden barn. Which takes more time?

Answers

Answer:

Building gold barn takes more time

Step-by-step explanation:

Time to harvest magic flowers = 5/6 of a minutes

Time to build a gold barn = 5 / 6 of an hour

1 hour = 60 minutes

Time to build a gold barn = 5 / 6 of 60 minutes

= 5/6 × 60 minutes

= 50 minutes

= 50 minutes × 60 seconds

= 3,000 seconds

Time to harvest magic flowers = 5/6 of a minutes

1 minutes = 60 seconds

= 5/6 × 60 seconds

= 50 seconds

Building gold barn takes more time

help please !!! show work​

Answers

Answer:

y = [tex]\frac{2w}{x^{2}}[/tex]

Step-by-step explanation:

To solve an equation for one of its variable do that

Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equal 1

Let us use these steps to solve our question

∵ w = [tex]\frac{1}{2}[/tex] x²y

→ Underline y

∴ w = [tex]\frac{1}{2}[/tex] x²y

→ Multiply both sides by 2 to cancel the denominator 2

∵ 2 × w = 2 ×  [tex]\frac{1}{2}[/tex] x²y

∴ 2w = x²y

→ Divide both sides by x² to move it to the left side

∵ [tex]\frac{2w}{x^{2}}[/tex] = [tex]\frac{x^{2}y}{x^{2}}[/tex]

∴  [tex]\frac{2w}{x^{2}}[/tex] =  y

→ Switch the two sides

y = [tex]\frac{2w}{x^{2}}[/tex]

The price of dinner was $24.80. The sales tax was 8%. The server was given a 15% tip (calculated after tax was added). What was the total cost of the meal?
A
$5.70

B
$25.03

C
$30.50

D
$30.80

Answers

Answer:

D. $30.80

Step-by-step explanation:

8/100=0.08

0.08*24.80=1.984

1.984+24.80=26.78

15/100=0.15

0.15*26.78=4.017

4.017+26.78=30.80

27x + 18y + 30 Lol pls help I’m gonna fail

Answers

Answer:

[tex]=27x + 18y + 30[/tex] fr it's the real answer

Step-by-step explanation:

hope it helps u won't fail(maybe)

leave a like

and if u can mark brainliest

0.072 as a multiple power of 10

Answers

Answer:

0.72 I think but not sure

Thank you ☺️☺️

Lines will not always be written initially in y=mx+b form. Sometimes you will need to do some simple
manipulation (typically one or two steps) to rearrange into this form.
Exercise #3: For each of the following equations, rearrange them into y = mx +b form and identify the slope
and y-intercept of the line.
(a) y +2x = 7
(b) 2x+3y = 12
(c) 4x -6y = 7

Answers

Answer:

a.   y = -2x + 7

b.   y = -⅔x + 4

c.   y = ⅔x - 7/6

Plz mark brainliest:)

help me please
Solve for x and y

Answers

Answer:

ouch math keeps getting harder and harder every time!

Step-by-step explanation: sorry ik this aint

wat u looking for

i need help asap please

Answers

Answer:

270mi

Step-by-step explanation:

5.4/2 = 2.7

2.7 * 100 = 270

the value of y varies directly with x. If x=13, ten y=65. What is the value of x when y=35?

Answers

Answer:

x=7

Step-by-step explanation:

direct variation is in the form y=kx

65 = k 13

by dividing both sides be 13, we see that 5 = k

thus, we can then take the next situation 35 = 5x

dividing both sides by 5 brings us to 7 = x

Write the equation of the line through the points (4, 5) and (12, 9)

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 5 / 12 - 4 = 4/8 = 1/2

y = mx+b

slope/m = 1/2

y = 1/2x + b

5 = 1/2(4) + b

5 = 2 + b

3 = b

y = 1/2x + 3

The equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

From the question,

We are to determine the equation of the line passing through the points (4, 5) and (12, 9)

Using the formula,

[tex]\frac{y-y_{1} }{x-x_{1}} = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

From the given information

x₁ = 4

y₁ = 5

x₂ = 12

y₂ = 9

Putting the parameters into the formula, we get

[tex]\frac{y-5}{x-4} =\frac{9-5}{12-4}[/tex]

Then,

[tex]\frac{y-5}{x-4} =\frac{4}{8}[/tex]

[tex]\frac{y-5}{x-4} =\frac{1}{2}[/tex]

Then,

[tex]x - 4 = 2(y-5)[/tex]

[tex]x - 4 = 2y-10[/tex]

[tex]x -2y = -10 + 4[/tex]

[tex]x -2y = -6[/tex]

Hence, the equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

Learn more on determining the equation of a line here: https://brainly.com/question/18035751

Please help ASAP please don’t lie

Answers

Answer:

B

Step-by-step explanation:

I believe the number of sides, and the number of lines of symmetry are the same.

Because, A "regular polygon" has all the same 5 sides all around, which would mean there's the same amount of lines of symmetry.

Write 2.08 x 10^2 in standard form.​

Answers

Answer:

208

Step-by-step explanation:

If you multiply 2.08 by ten to the second power (100) Then you get 208

Scientific notations are the way through which a very small or a very large number can be written in shorthand.  The given expression can be written in the standard form as 208.

What are Scientific notations?

Scientific notations are the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

The given expression can be written in the form of an expression as shown below.

2.08 x 10²

= 2.08 × 100

= 208

Hence, the given expression can be written in the standard form as 208.

Learn more about Scientific notation here:

https://brainly.com/question/1740231

#SPJ2

Please, I need help!


The table above shows the number of trees and the number of apples that Jacob picked from each tree. Answer the following questions based on he table above

1. How many apples will Jacob pick from one tree. (calculate the unit rate).

2.Is there a proportional relationship between the number of trees and the number of apples Jacob picked? Explain using mathematical reasoning.

3. Using the unit rate, write an equation that Jacob can use to calculate how many apples he is able to pick from any tree.

4. Using your equation if Jacob had 25 trees, how many apples will he have.

Answers

1. in 1 tree, he will get 13 apples

2. yes there is a proportional relationship in the data because there are 13 apples per tree

3. y=13x (y represents the total of apples he can get in the number of trees he picked. x represents the number of trees)

4. if there were 25 trees, he would have picked 325 apples because

13*20 is 260

13*5 is 65

260+65 is 325

The area of this field is about 500,000 m2. What is the field's area to the nearest square meter? Assume that the side lengths of the square are exactly 800m.​

Answers

Answer:

502,655[tex]m{2}[/tex]

Step-by-step explanation:

field's area to the nearest square is 1,40,000 m².

What is the area of composite shapes?

The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.

Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.

Hence, the area of the square is 640,000 m².

Therefore the remaining area of the space is 1,40,000 m².

Learn more about the area of composite shapes here:

https://brainly.com/question/163178

#SPJ5

help me..i’m not sure what to do

Answers

Answer:

$41,500

Step-by-step explanation:

In order to find net worth you must subtract the persons liabilities from the persons assets. Therefore, $113,000 - $71,500 = $41,500.

Hope this helps! Have an excellent day mate!

Mike’s fitness center charges $30 per month for a membership. All Day fitness center charges $22 per month plus an $80 initiation fee for membership. After how many months will the total amount paid to the two memberships be the same?

Answers

Answer:

10 months

Step-by-step explanation:

30x = 22x + 80

8x = 80

x = 10

Answer ASAP!!! First correct answer gets brainliest

Answers

Step-by-step explanation:

Given problem;

  Write the equation of the line with the given slope and y-intercept

 The equation of a line is expressed as;

          y  = mx + b;

   m is the slope and b is the y-intercept

7. m = -5, b = -6

   y  = mx + b

Input the parameters:

    y = -5x -6

8. m = 1, b = -4

   y = mx + b

Input the parameters:

   y = x - 4

9. m = 0.4, b = -9

    y = mx + b

Input the parameters:

    y = 0.4x - 9

10. m = 0, b = 3

     y = mx + b

Input the parameters:

    y = 3

Answer for brainliest!

Answers

Answer:

-5, -6, -7, -8, -9, -10, -11

Step-by-step explanation:

Answer:

-12<x<-9/2

Step-by-step explanation:

2x+9<o

x>-12

-12<x<-9/2

C Evaluate 7 . 2.7. 5 using the properties of numbers by matching each step with the property used. = 7.7.2.5 Choose... = (7-7) (2 - 5) Choose... = 49 - 10 Distributive Property Fir Commutative Property Please answer all parts of Closure Property Transitive Property Simplify. Associative Property 7.2 7.5= Substitution Property​

Answers

Answer:um this is hard i will give you the answer give me a sec

Step-by-step explanation:

A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.

SCREENSHOT OF GRAPH! HELP

Answers

Answer:

0.5 cm

Step-by-step explanation:

We are looking for how much height is gained per cup added.

Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).

Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (3, 5.5) = (x_1, y_1) [/tex]

[tex] (8, 8) = (x_2, y_2) [/tex]

[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]

[tex] m = \frac{2.5}{5} [/tex]

[tex] m = 0.5 [/tex]

0.5 cm is gained per cup added.

The rise in height per cup will be 0.5 cm.

Given information:

The given graph displays the height of the stack in centimeters for different numbers of cups.

The given points on the graph are (3,5.5) and (8,8).

Now, the slope of the line joining these two-point will give the rise per cup.

So, the slope will be calculated as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]

So, the slope is 0.5 centimeters per cup.

Therefore, the rise in height per cup will be 0.5 cm.

For more details, refer to the link:

https://brainly.com/question/18896190

The lines represented by the equations y = -X – 3 and
5y + 5x = -15

Answers

Answer:

your y= is

y−intercept=−  1 /3  =−3.00000

Step-by-step explanation:

Solve a = d+c/b for d

Answers

Answer: d = a - c/b

Plz  mark brainliest:)

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