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
skad [1K]
3 years ago
5

Students are planning a 3 day hiking trip in the mountains. The hike covers a distance of 18.5 kilometers. The students hike 0.2

8 of the total distance the first day. If they split the remaining distance equally between the second and third days how far will they hike on day three?
Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
8 0

Answer:

They hike 9.11 km on day three

Step-by-step explanation:

Total distance traveled on a 3 day hiking trip in the mountains = 18.5 km

The students hike 0.28 of the total distance the first day.

So, Remaining distance = 18.5 - 0.28 = 18.22

Now we are given that they split the remaining distance equally between the second and third days

So, Distance traveled by them on third = Distance traveled by them on second day = Half of the remaining distance = \frac{18.22}{2} = 9.11

So, they hike 9.11 km on day three

Fudgin [204]3 years ago
3 0
The students will hike 9.11 KM on day three.
You might be interested in
Solve for pizza in the pie chart!
solniwko [45]

Answer:

24

Step-by-step explanation:

30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24

6 0
2 years ago
Read 2 more answers
A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per
HACTEHA [7]

Answer:

A) Revenue function = R(x) = (580x - 10x²)

Marginal Revenue function = (580 - 20x)

B) Fixed Cost = 900

Marginal Cost function = (300 + 50x)

C) Profit function = P(x) = (-35x² + 280x - 900)

D) The quantity that maximizes profit = 4

Step-by-step explanation:

Given,

The Price function for the cake = p = 580 - 10x

where x = number of cakes sold per day.

The total cost function is given as

C = (30 + 5x)² = (900 + 300x + 25x²)

where x = number of cakes sold per day.

Please note that all the calculations and functions obtained are done on a per day basis.

A) Find the revenue and marginal revenue functions [Hint: revenue is price multiplied by quantity i.e. revenue = price × quantity]

Revenue = R(x) = price × quantity = p × x

= (580 - 10x) × x = (580x - 10x²)

Marginal Revenue = (dR/dx)

= (d/dx) (580x - 10x²)

= (580 - 20x)

B) Find the fixed cost and marginal cost function [Hint: fixed cost does not change with quantity produced]

The total cost function is given as

C = (30 + 5x)² = (900 + 300x + 25x²)

The total cost function is a sum of the fixed cost and the variable cost.

The fixed cost is the unchanging part of the total cost function with changing levels of production (quantity produced), which is the term independent of x.

C(x) = 900 + 300x + 25x²

The only term independent of x is 900.

Hence, the fixed cost = 900

Marginal Cost function = (dC/dx)

= (d/dx) (900 + 300x + 25x²)

= (300 + 50x)

C) Find the profit function [Hint: profit is revenue minus total cost]

Profit = Revenue - Total Cost

Revenue = (580x - 10x²)

Total Cost = (900 + 300x + 25x²)

Profit = P(x)

= (580x - 10x²) - (900 + 300x + 25x²)

= 580x - 10x² - 900 - 300x - 25x²

= 280x - 35x² - 900

= (-35x² + 280x - 900)

D) Find the quantity that maximizes profit

To obtain this, we use differentiation analysis to obtain the maximum point of the Profit function.

At maximum point, (dP/dx) = 0 and (d²P/dx²) < 0

P(x) = (-35x² + 280x - 900)

(dP/dx) = -70x + 280 = 0

70x = 280

x = (280/70) = 4

(d²P/dx²) = -70 < 0

Hence, the point obtained truly corresponds to a maximum point of the profit function, P(x).

This quantity demanded obtained, is the quantity demanded that maximises the Profit function.

Hope this Helps!!!

8 0
2 years ago
Help with 8 9 and 10
Rainbow [258]
9. 2.86600....  that is all i know so far
6 0
3 years ago
Round 24.99 to the nearest tenth
klasskru [66]
A tenth of 24.99 would be the first 9 after the point. In order to round it to the nearest tenth, we must look at the number after it. If that number is 5 or above, we must make the tenth one higher. In this case, the number after the tenth is above 5, so we change the tenth to a 1! Now the number becomes 25.00
5 0
2 years ago
Sam is riding his bicycle. He rides for 11.2 kilometers at a speed of 7 kilometers per hour. For how many hours does he ride?
Airida [17]

Answer:

1.6 hours

Step-by-step explanation:

you divide 11.2 by 7

hope this is correct

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which expression is not requivalent to<br> 3x - 2?
    10·1 answer
  • How do I find 60% of £500?
    8·2 answers
  • What is the equation of the line that goes through (2, 2) and is perpendicular to y = 5x + 3?
    6·1 answer
  • ANSWER FAST PLEASE!!!
    12·1 answer
  • What value does the 3 represent in the number 16.344 ?
    6·1 answer
  • Which fraction is equivalent to 70/100
    15·1 answer
  • Choose the congruence theorem that you would use to prove the triangles congruent.
    8·1 answer
  • Can someone please help me
    8·1 answer
  • What is the percent change of<br>30 to 90?<br>what is what is the percent change of 30 to 90?​
    9·1 answer
  • What is the area of a triangle with a base of 10 cm and a height of 12 cm?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!