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
jeyben [28]
3 years ago
6

A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rent

al fee. The skating rink costs $3 per person plus a $20 room rental fee. You have $50. If you want to invite as many people as possible, which location should you choose?
Follow the steps to decide on the party location.

1. Write an expression for the amount you would spend on a birthday party at the bowling alley. Let x represent the number of people you invite.

















2. Write an expression for the amount you would spend on a birthday party at the skating rink.

















3. How many people could you invite to the bowling alley? Show how you found your answer.


















4. How many people could you invite to the skating rink? Show your work.


















5. To which location could you afford to invite more people?
Mathematics
2 answers:
Zielflug [23.3K]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

Bowling:

15+5x  where x is the number of people

Skating:

20+3x

We have 50 dollars so the amount must be less than or equal to 50

Bowling

15+5x≤50

Subtract 15 from each side

15-15+5x≤50-15

5x ≤35

Divide each side by 5

5x/5 ≤35/5

x ≤7

She can have 7 or less people

Skating

We have 50 dollars so the amount must be less than or equal to 50

20+3x  ≤50

Subtract 20 from each side

20-20+3x  ≤50-20

3x  ≤30

Divide each side by 3

3x/3 ≤30/3

x ≤10

She can have up to 10 people

She can invite more people skating

arsen [322]3 years ago
4 0

Answer:

1) C = 15 + 5x

2) C = 20 + 3x

3) 7

4) 10

5) Skating rink

Step-by-step explanation:

C : cost

Fixed: 15

Additional: 5

For x people,

C = 15 + 5x

Budget is 50:

15 + 5x《50

3x《35

x《7

C : cost

Fixed: 20

Additional: 3

For x people,

C = 20 + 3x

Budget is 50

20 + 3x《50

3x《30

x《10

Since 10 > 7, she can invite more people at the skating rink

You might be interested in
What is the measure of angle M?
Nesterboy [21]

Answer:

35°

Step-by-step explanation:

4x+11 = 5x-24

5x-4x=x

x=24+11

x=35

3 0
3 years ago
(added picture!) PLEASE PLEASE PLEASE HELP!!
Katarina [22]
A square plus b  square = c square 
(a square plus 6 square =10 square,a)
8 0
3 years ago
Read 2 more answers
What is the probability of getting a multiple of 8, in month of june?
Effectus [21]
There are 30 days in June and only three of those days are multiples of 8 so you have the probability of 3 out of 30. 
3 0
2 years ago
Read 2 more answers
Calculate the missing value. (Not drawn to scale.)
True [87]

Answer:5in

Step-by-step explanation:

1. Identify the triangle

you are given a right triangle with the hypotonus missing and are given the side lengths 3 and 4 you know the hypotonus is 5 by the 3,4,5 Pythagorean tripe, if you do not notice this it can be solved with the Pythagorean theorem a^2+b^2=c^2

2. solve (if not done with 3,4,5 triple)

3^2+4^2=c^2

9+16=c^2

25=c^2

5=c | square root both sides to cancel the square

5 0
1 year ago
Una escalera está apoyada sobre la fachada de un edificio. Si la escalera mide 10 m de longitud y el pie de la escalera está a 5
mamaluj [8]

Answer:

8.66 meters

Step-by-step explanation:

Assuming that the building is completely straight, a right angle is formed and therefore a right triangle.

Thanks to this we can calculate the height at which the ladder reaches the wall using the Pythagorean theorem, this height being one of the legs.

We have to:

c ^ 2 = a ^ 2 + b ^ 2

c = 10

a = 5

replacing

b ^ 2 = 10 ^ 2 - 5 ^ 2

b ^ 2 = 75

b = 8.66

that is to say that the height at which the ladder reaches the wall is 8.66 meters

8 0
3 years ago
Other questions:
  • Which of the following represents the factorization of the polynomial below ?
    7·1 answer
  • 7 is greater than w, and w is greater than 2 <br><br> use w only once in your inequality
    5·1 answer
  • A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12%
    8·1 answer
  • The population of a city is represented by the function p(t)=33,500(1.014)^t where t represents time in years and corresponds to
    13·1 answer
  • Need help ASAP <br> Integrated math ll
    15·1 answer
  • Express 75cm/s in m/s​
    5·1 answer
  • Reflect -4,3 over the x-axis what is it
    8·1 answer
  • Could you please list all 6 answers below? 30 points and Brainliest if you answer. You have to put them in simplest form.
    12·1 answer
  • Find the 95% confidence interval for estimating the population mean μ
    9·1 answer
  • an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!