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
Harrizon [31]
3 years ago
14

An amusement park offers two options. Option 1 involves a $10 admission fee plus $0.50 per ride. Option 2 involves a $6 admissio

n fee plus $0.75 per ride. For how many rides do the two options have the same cost ( or, what is the break-even point)?
Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

16 rides

Step-by-step explanation:

Option 1 . Admission fee = $10

                Each ride = $0.50

Option 2 . Admission fee = $6

                Each ride = $0.75

Let no. of rides be x

So, cost of ride according to option 1 = 0.50x

So, total cost after having x rides according to option 1 :

= 10+0.50x  ---1

Cost of ride according to option 2 = 0.75x  

So, total cost after having x rides according to option 2 :

= 6+0.75x  --2

Now to find the beak even point i.e. having the same cost

Equate 1 and 2

10+0.50x=6+ 0.75x

10-6= 0.75x-0.50x

4= 0.25x

\frac{4}{0.25} =x

16=x

Thus for 16 rides , the two options have the same cost .

Hence the break even point is 16 rides

You might be interested in
Please help. Will give brainliest
natita [175]
I believe C. I’m not completely sure tho...
6 0
3 years ago
Jack and Jim sign up with an online music store. Jack chooses 15 downloads for $19.75, and Jim chooses 40 downloads for $43.50.
lina2011 [118]
The answer would be A. <span>The registration fee is $5.50, and the cost per download is $0.95.</span>

Solution
Let x = registration fee
y = cost/downloads

Jack
15y + x = 19.75 ; x = 19.75 - 15y
Jim
40y + x = 43.50

Thus,
40y + x = 43.50
40y + <span>19.75 - 15y = 43.50
</span>25y = 23.75
y= 0.95

for x,
<span>x = 19.75 - 15y</span>
x = 19.75 - 15( 0.95)
x= 19.75 -14.25
x = 5.5
3 0
3 years ago
There are 20 pens in a package. Ten of the pens are black, 8 are blue, and the rest are red.
azamat

Answer:

1:5 simplifies

Step-by-step explanation:

2 are red 10 are black. so it would be 2/10 or 2:10 (both means the same) however if you simplified it, it will be 1:5

3 0
3 years ago
Determine if the equations are parallel, perpendicular, or neither.
Aloiza [94]
To easily find the slope from standard form (Ax + By = C) use -A/B

1. m = -5/3
2. m = -3/5

perpendicular slopes are negative reciprocals, which these are not

parallel slopes are exactly the same, which these are also not

so, these equations are neither parallel nor perpendicular
4 0
3 years ago
Which answer describes the simpler problems that could be used to solve this story problem? Phil bought stamps for his collectio
Dovator [93]
The answer is C.......Sports Stamps = 4 , Holiday Stamps = 2 , Presidents Stamps = 8. He said 4 times as many presidents than holiday. So the number of presidents stamps is the product of the holiday stamps times 4. 4 times 2 is 8. Add them all together
5 0
3 years ago
Other questions:
  • The seventh term of an arithmetic sequence is 21, and the tenth term is 126. The first term is _____..
    13·2 answers
  • In a simplified model of a hydrogen atom, the electron moves around the proton nucleus in a circular orbit of radius 0.53 × 10−1
    15·1 answer
  • Abdul drove four trips that totaled 426km. The second trip was 4 less than double the first. THE THIRD TRIP WAS DOUBLE THE SECON
    7·1 answer
  • How much must you add to -12 to get a number greater than 5?
    10·1 answer
  • A piece of paint cost $400. There is a 25% mark-<br> up. What is the selling price of the painting?
    5·1 answer
  • Will give brainliest find the slope.
    8·2 answers
  • Can you help me plz and think you
    15·2 answers
  • Use partial products to multiply 2,104 x 8. 2,104 32 8 x 4 ones 0 8 x 0 tens N 1 hundreds 8 x 2 thousands - 16.000​
    8·1 answer
  • In a fruit punch drink, the 3 ingredients are
    13·1 answer
  • The perimeter of a square field is 60 M find its area​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!