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
RUDIKE [14]
3 years ago
12

Earl paid $37.95 for admission to the amusement park.Each ride costs an additional $4.25.Earl only has $75.What is the maximum n

umber of rides he can go on?Be sure to define any variable(s) that you use.
Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0

Answer: The maximum amount of rides that Earl can go on is 9.


Step-by-step explanation: Earl only has 75 to spend so you cannot go over it. Each ride should be represented by x because it is an unknown value. 37.95 is a constant. The equation is 75 = 4.25x + 37.95. Subract 37.95 and you get 39.05 = 4.25x. Divide by 4.25 and you get 9.18823529412 = x. You cannot go on part of the ride so remove the decimal value. The answer is 9 rides.


You might be interested in
If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
While shopping, Dawn finds a backpack that she likes on the sale rack. Its original price is $60,
Nadya [2.5K]

No. Because 33 $ is the money deducted from the 60 $. Dawn bought everything for less than 60 $.

So, if Dawn purchases everything on the rack with a 30% discount and 15% coupon the total will indeed make 45%.

We have to take 100% - 45%= 55% to know the reduction number. Let's proceed to the calculations now.

100%= 60 $

1%=60/100

55%= 60/100 × 55 = 33 $

Now <u>NOTE</u><u>;</u><u> </u><u>33</u><u> </u><u>$</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>money</u><u> </u><u>reduced</u><u> </u><u>from</u><u> </u><u>the</u><u> </u><u>60</u><u> </u><u>$</u><u>.</u><u> </u><u>So</u><u>,</u><u> </u><u>logically</u><u>,</u><u> </u><u>33</u><u> </u><u>$</u><u> </u><u>isn't</u><u> </u><u>the</u><u> </u><u>amount</u><u> </u><u>which</u><u> </u><u>Dawn</u><u> </u><u>purchased</u><u> </u><u>the</u><u> </u><u>whole</u><u> </u><u>rack</u><u>. </u>

To find the amount at which she purchased everything, we need to do,

60 $ - 33 $ = 27 $

6 0
3 years ago
94 plus 20 subract 8
Marina86 [1]
The answer is 106 your welcome :-)
7 0
3 years ago
Read 2 more answers
Unit 8 triangles and trigonometry quiz 8-2 please help me with all
Sedbober [7]

Answer:

i think 6

Step-by-step explanation:

hope this helps

5 0
3 years ago
Help I’m being timed !
exis [7]
It has to be B is the one that has to ne correct
8 0
3 years ago
Other questions:
  • A number is randomly picked from this list: 2 4 5 7 6 8 10. find out the probability of picking an even number
    7·1 answer
  • What is the slope of (4,-2)(2,4) ?
    8·1 answer
  • Azul has 4 green picks and no orange picks you add orange picks so that there are 2 orange picks for every 1 green pick how many
    10·1 answer
  • Consider a project that has an expected completion time of 60 weeks and a standard deviation of five weeks. What is the probabil
    10·1 answer
  • A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
    14·1 answer
  • Simplify ,without using a calculator(2 1/2)2 + (0.5)2 ​
    15·2 answers
  • The graph of a function never has two different points with rhe same x-coordinate because
    10·1 answer
  • 5/6 × 3/4 = <br>patulong po....​
    5·2 answers
  • According to a study, 18 out of 20 people are right-handed. What fraction of people are left-handed?
    5·1 answer
  • .<br> 1.<br> f(x) = -2lx- 3| +1<br><br> How do I graph this?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!