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
professor190 [17]
3 years ago
13

A collector has 160 movie posters and 120 band posters. She wants to sell 24 movie posters but still have her poster collection

maintain the same ratio of 160:120. If she sells 24 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

Step-by-step explanation:

The collector has 160 movie posters and 120 band posters.

She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 160:120.

Total ratio = 160 + 120 = 280

If she sells 24 movie posters, it means

24 = 160/280 × x = 160x/280

Where x = total number of movie posters and band posters sold

24 × 280 = 160x

160x = 6720

x = 6720/160 =42

Number of band posters that she should sell = total number of both posters - number of movie posters.

Number of band posters that she should sell = 42-24 =18

You might be interested in
Can someone plz help me with this!
asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

2x+y=10\\x-3y=-2

To solve, start by isolating your first equation for y.

2x+y=10\\y=-2x+10

Now, plug this value of y into your second equation.

x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4

System #2: x=1

x+2y=5\\2x+y=4

Isolate your second equation for y.

2x+y=4\\y=-2x+4

Plug this value of y into your first equation.

x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1

System #3: x=6

5x+y=33\\x=18-4y

Isolate your first equation for y.

5x+y=33\\y=-5x+33

Plug this value of y into your second equation.

x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6

System #4: all real numbers (not included in your diagram)

y=13-2x\\8x+4y=52

Plug your value of y into your second equation.

8x+4(13-2x)=52\\8x+52-8x=52\\0=0

<em>all real numbers are solutions</em>

System #5: x=2

x+3y=5\\6x-y=11

Isolate your second equation for y.

6x-y=11\\-y=-6x+11\\y=6x-11

Plug in your value of y to your first equation.

x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2

System #6: no solution (not included in your diagram)

2x+y=10\\-6x-3y=-2

Isolate your first equation for y.

2x+y=10\\y=-2x+10

Plug your value of y into your second equation.

-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2

<em>no solution</em>

System #7: x=3

y=10+x\\2x+3y=45

Plug your value of y into your second equation.

2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3

3 0
3 years ago
Which graph represents an exponential function?
schepotkina [342]

Answer:

Presumably the first graph solely based on its shape.

8 0
3 years ago
Given a=20 and b=a/4-3 what is the value of b
xxTIMURxx [149]

Answer: b=20

Step-by-step explanation:

Subsitute a for 20.

b=20/4-3

b=20/1

b=20

5 0
3 years ago
Read 2 more answers
Logan made a treasure map he treasure is 25 cm away from his location if each 1 cm on the scale drawing equals 5 m then how far
Doss [256]
Logan is 125 meters away from the treasure.


Also, this question seems like an elementary school question, not a high school question, so why does it say that you are in high school?
8 0
3 years ago
How many games would Chase have to win in a row in order to have a 75% winning record?
morpeh [17]

Answer:

the answer is that he would have to win 7 games in a row to get 75%

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Solve 2+(6*5)-8, I have no clue the "*" is.
    6·2 answers
  • Given the arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103,...
    10·1 answer
  • I would really appreciate if someone help me I need help please help me thank you it’s geometry
    15·1 answer
  • 2.5d + 8.25 = 3 + 3.25d what is d equal to
    5·1 answer
  • Which expressions are polynomials?
    10·1 answer
  • What is the slope intercept form of y+2=-5/3(x-3)
    5·1 answer
  • Find the unknown side or angle as indicated.<br> Round each side length to the nearest tenth
    5·1 answer
  • Find the Perimeter and Area
    11·1 answer
  • EXPERTS CALLING IN ALL EXPERTS.
    8·1 answer
  • Can someone help me with this?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!