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
lions [1.4K]
3 years ago
14

The time taken to complete a journey varies directly as the distance (d) and inversely as the average speed (s).

Mathematics
1 answer:
fomenos3 years ago
5 0

Given that, the time (t) taken to complete a journey varies directly as the distance (d) and inversely as the average speed (s).

Hence, we can set an equation as following:

t = k\frac{d}{s}

Other information is that it takes 3 hours to complete a 280km trip at 80km/h.

So, plug in t = 3, d = 280 and s = 80 in the above equation to get the value of k. Therefore,

3=k \frac{280}{80} [/tex3 = k* 3.5[tex] \frac{3}{3.5} =\frac{k*3.5}{3.5} Divide each sides by 3.5.

k = 0.857142857

So, k = 0.857

Now we need to find the time when d= 546 and s = 65. So, plug in these values in the above equation to get the value of t. Hence,

t = 0.857*\frac{546}{65}

= 0.857 * 8.4

= 7.1988

= 7 hours ( Rounded to nearest integer).

So, it will take 7 hours.

Hope this helps you!

You might be interested in
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
Law Incorporation [45]

Answer:

Step-by-step explanation:

To solve this problem, we will use the following two theorems/definitions:

- Given a vector field F of the form (P(x,y,z),Q(x,y,z),W(x,y,z)) then the divergence of F denoted by \nabla \cdot F = \frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}}+\frac{\partial W}{\partial z}

- (Gauss' theorem)Given a closed surface S, the following applies

\int_{S} F\cdot \vec{n} dS = \int_{V} \nabla \cdot F dV

where n is the normal vector pointing outward of the surface and V is the volume bounded by the surface S.

Let us, in our case, calculate the divergence of the given field. We have that

\nabla \cdot F = \frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(2y)+ \frac{\partial}{\partial z}(5z) = 1+2+5 = 8

Hence, by the Gauss theorem we have that

\int_{S} F\cdot \vec{n} dS = \int_{V} 8 dV = 8\cdot\text{Volume of V}

So, we must calculate the volume V bounded by the cube S.

We know that the vertices are located on the given points. We must determine the lenght of the side of the cube. To do so, we will take two vertices that are on the some side and whose coordinates differ in only one coordinate. Then, we will calculate the distance between the vertices and that is the lenght of the side.

Take the vertices (1,1,1) and (1,1-1). The distance between them is given by

\sqrt[]{(1-1)^2+(1-1)^2+(1-(-1)^2} = \sqrt[]{4} = 2.

Hence, the volume of V is 2\cdot 2 \cdot 2 = 8. Then, the final answer is

\int_{S} F\cdot \vec{n} dS =8\cdot 8 = 64

5 0
3 years ago
6x^2 +7x^3 +8x^5 +9 <br><br> What it the degree of the polynomial
DaniilM [7]
The degree of the polynomial is 5.
7 0
3 years ago
Read 2 more answers
A 10 gram ball is rolling at 3 m/s. The ball has __________ energy. Calculate it.
sladkih [1.3K]

Answer:

kinetic

Step-by-step explanation:mark brainliest plzzzzzzzzzz

3 0
3 years ago
Read 2 more answers
What is the cosine of 45°
Degger [83]
Cosine 45° = √2/2 (Square root of 2 over 2)
4 0
3 years ago
An ice cream factory makes 375 quarts of ice cream in 5 hours. How many quarts could be made in 13 hours?
amid [387]
5580 Quarts
3720 Quarts per day
7 0
3 years ago
Read 2 more answers
Other questions:
  • Need help finding the percentage
    14·1 answer
  • If all the edges of prism A are multiplied by 5 to create prism B. The volume of prism B will be __________ times the volume of
    5·1 answer
  • What is the median of 7, 9, 6, 15, 22, 25, 31?<br><br> 15<br> 16<br> 19<br> 24
    13·1 answer
  • Need help asap !!!!!!!!
    7·1 answer
  • Whats these -4e-9=19 answer
    11·1 answer
  • HELPPP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you
    11·1 answer
  • Factor the expression<br> 12x^2 +7x+1
    6·1 answer
  • Area of a rectangular garden is 6138m2, if the length of length of garden is 99m what is the width?
    10·1 answer
  • 6 3/4 x 5 + 2 1/4 =?
    14·2 answers
  • Find the difference ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!