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
Morgarella [4.7K]
2 years ago
15

Mrs. Adesso wants to take her class on a trip to either the science center or natural history museum. The science center charges

$7 per student, plus $75 for a guided tour. The natural history museum charges $8 per student, plus $50 for a guided tour. For what number of students is the cost of the trip the same at each museum?
Mathematics
1 answer:
BartSMP [9]2 years ago
4 0

Answer:

  25

Step-by-step explanation:

When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.

  y = 75 +7x . . . . . cost for x students to visit the science center

  y = 50 +8x . . . . cost for x students to visit the natural history museum

__

Subtracting the first equation from the second, we get ...

  0 = -25 +x

  25 = x . . . . . add 25; the number of students such that costs are equal

The cost will be the same either place for 25 students.

__

<em>Additional comment</em>

Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...

  $25/($1 /student) = 25 students.

This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).

You might be interested in
Whats 2 plus 2? Whats 10 plus 10? And whats 8 plus 8?
Ivenika [448]

\bold{THE  \: ADDITION}

or addition is the mathematical operation of composition that consists of combining or adding two or more numbers to obtain a final or total quantity. The addition also illustrates the process of joining two collections of objects in order to obtain a single collection

----------------------------------------------------------------------------------------------

\red{ \huge{ \texttt{ACTIVITY}}}

  • Whats 2 plus 2?
  • \boxed{2+2=4}
  • Whats 10 plus 10?
  • \boxed{10+10=20}
  • And whats 8 plus 8?
  • \boxed{8+8=16}

----------------------------------------------------------------------------------------------

\bold{BRAINLY MENTALMENTE}

3 0
3 years ago
Read 2 more answers
05.06)Which of the following best describes interval C on the graph shown?
Korolek [52]
Linear decreasing

I haven't learned this is class yet, but I had a bf that taught me this
8 0
3 years ago
Read 2 more answers
For the function G defined by G(x)=5x+3, find G(r+5).
ycow [4]

Answer:

8x+5

Step-by-step explanation:

any letter will mean 1

4 0
2 years ago
Read 2 more answers
If we flip an unfair coin, suppose the probability to get a 'Head' is 0.6 each time. In a random sample of 75 tosses, let p deno
Lerok [7]

Answer:

Step-by-step explanation:

3 0
3 years ago
Put the correct answer.
Evgen [1.6K]

Answer:

D

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • 4X = 44<br> What is X?<br> sorry I bad at this
    13·1 answer
  • What is the number of boys in a class if they are 3/5 and girls are 24
    8·1 answer
  • A drill bit has a size of 5/16 inch . what is the measurement as a decimal ?
    11·1 answer
  • ASSIGNMENTS
    12·1 answer
  • - 4y - 4+ (-3)<br> Combine like terms
    9·2 answers
  • Find the length of a triangular prism with a volume of 660 cubic cm, a base of 10 cm and a height of 12 cm.
    8·1 answer
  • What is the maximum volume of a pyramid that can fit inside a cube with sides that are 18 cm long?
    15·1 answer
  • HELP PLEASE!!<br> 40 POINTS FOR BOTH QUESTIONS<br><br> please please
    11·2 answers
  • Name the angle in three different ways
    15·1 answer
  • 1 1/3 x 1 2/3 please help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!