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
worty [1.4K]
3 years ago
9

Piravena must make a trip from A to B then from B to C, then from C to A. Each of these three parts of the trip is made entirely

by bus or entirely by airplane. The cities form a right-angled triangle as shown, with C a distance of 3000 km from A and with B a distance of 3250 km from A. To take a bus, it costs Piravena $0.15 per kilometer. To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer. Determine the distance she travels for her complete trip. URGENT! I Will mark brainiest if it is correct

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

a) Cost of flying from A to B = $425

b) Total distance travelled by Piravena during the complete trip = 7,500 km

c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.

Step-by-step explanation:

The complete question is presented in the attached image to this question.

Full Question

a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.

b) Determine the distance she travels for her complete trip.

c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.

Solution

a) The distance from A to B is given as 3250 km.

To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.

So, to fly 3250 km, she will pay

100 + (0.10×3250) = $425

b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.

Her complete distance travelled = AB + BC + CA

But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.

Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides

AB² = BC² + CA²

3250² = BC² + 3000²

BC² = 3250² - 3000² = 1,562,500

BC = √1,562,500 = 1,250 km

Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km

c) Her total cost of travel = $1012.50

But she definitely flew from A to B at a cost of $425

This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5

Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.

To confirm this, we calculate the two options (bus or airplane) for each route.

If she travels B to C by bus, cost = 0.15 × 1250 = $187.5

If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225

Hence, the bus obviously minimizes cost here.

If she travels from C to A by bus, cost = 0.15 × 3000 = $450

If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400

Here, travelling by airplane minimizes the cost.

So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5

which is the remaining part of her total cost is she minimized expenses!

Hope this Helps!!!

You might be interested in
The largest side of a triangle is six more units than the smallest side. The third side is twice the smallest side. If the perim
svetlana [45]
Equation:     x + x + 6 = 2x = 25
smallest side is    4.75 units
largest size is      4.75 + 6 = 10.75 units
3rd side is           2(4.75)= 9.5 units

smallest side is    x 
largest size is      x + 6
3rd side is           2x
-----------------------------------
                           4x + 6 = 25 
                                  -6     -6
                             <u>4x</u> = <span><u>19</u>
</span>                             4        4

x = 4.75 is the smallest side


smallest side is    4.75 units
largest size is      4.75 + 6 = 10.75 units
3rd side is           2(4.75)= 9.5 units

7 0
2 years ago
Given the function: f(x) = 2x3 - 3/2x, find f(-4).
Sergeu [11.5K]

Answer:

D) -122

Step-by-step explanation:

Given:

f(x) = 2x^3-\frac{3}2x

We need to find f(-4).

Now by substituting the value of x =-4 in above equation we get;

f(-4)= 2\times(-4)^3-\frac{3}{2}\times(-4)\\

By using PEDMAS we will solve for exponential function first we get;

Now we know that (-4)^3=-64

So we get;

f(-4)= 2\times(-64)-\frac{3}{2}\times(-4)\\

Now using PEDMAS we will solve division.

f(-4)= 2\times(-64)-1.5\times(-4)

Now using PEDMAS we solve multiplication.

f(-4)= -128+6

Finally by subtraction we get;

f(-4)= -122

5 0
3 years ago
Create an equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V.​
marishachu [46]

The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V is H = 2V + 3.

<h3>How to compute the equation?</h3>

Your information is incomplete. Therefore, an overview will be given.

Let's assume that the value of the horizontal length is 3 plus twice the value of the the vertical length. This will be:

H = (2 × V) + 3

H = 2V + 3

In conclusion, the equation is H = 2V + 3.

Learn more about equations on:

brainly.com/question/2972832

7 0
2 years ago
23. Points X(6, 8), Y(3, 3), and Z(13, -3)<br> form a triangle. What is the area of<br> XYZ
Gelneren [198K]

110 square units.

Step-by-step explanation:

Points X6,8 Y3,3 , and Z13,-3 form the triangular outline of a park. What is the area of △ XYZ ? area of △ XYZ=  110 square units.

8 0
2 years ago
Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip she only drove 52 mile
dem82 [27]

Veronica traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7 days

<em><u>Solution:</u></em>

Veronica traveled 562 miles to Venice, Florida

She drove 85 miles every day

Let "d" be the number of days she drove 85 miles per day

On the last day of her trip she only drove 52 miles

Therefore, we frame a equation as,

Total miles = 85 miles every day for "d" days + last day

Total miles = 85(d) + 52

Total miles = 85d + 52

562 = 85d + 52

85d = 562 - 52

85d = 510

d = 6

She traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7

8 0
3 years ago
Other questions:
  • Please Help me!!! Do both parts!
    8·1 answer
  • Christopher mixes the letters s, e, l, e, c, t, e, and d thoroughly. without looking, allen draws one letter. expressed as a fra
    15·2 answers
  • Help!! Algebra 1!!<br><br> sorry if the picture is bad
    5·1 answer
  • 12a-4(5a-1) = 2(3a +6)-4a
    5·1 answer
  • Please solve a,b and c
    5·1 answer
  • Find the answer to 12.6 x 3.9?
    11·2 answers
  • Dan sold 40 concert tickets in 5 days. Each day he sold 3 tickets more than the previous day the number of tickets he sold on th
    14·1 answer
  • The oblique circular cone has an altitude and a diameter of base that are each of length 12 cm. The line segment joining the ver
    13·1 answer
  • Which is the better buy?
    12·1 answer
  • Solve for m<br> (- 11/6) + m = -2/9<br> ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!