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
mihalych1998 [28]
3 years ago
13

During the first part of a​ trip, a canoeist travels 18 miles at a certain speed. the canoeist travels 4 miles on the second par

t of the trip at a speed 5 mph slower. the total time for the trip is 3 hrs. what was the speed on each part of the​ trip?
Mathematics
1 answer:
storchak [24]3 years ago
5 0
We can set it up like this, where <em>s </em>is the speed of the canoeist:

\frac{18}{s} + \frac{4}{s-5} = 3

To make a common denominator between the fractions, we can multiply the whole equation by s(s-5):

s(s-5)[\frac{18}{s} + \frac{4}{s-5} = 3] \\ 18(s-5)+4s=3s(s-5) \\ 18s - 90+4s=3 s^{2} -15s

If we rearrange this, we can turn it into a quadratic equation and factor:

18s - 90+4s=3 s^{2} -15s \\ 22s-90=3 s^{2} -15s \\ 3 s^{2} -37s+90=0 \\ (3s-10)(s-9)=0 \\ s= \frac{10}{3} ,9

Technically, either of these solutions would work when plugged into the original equation, but I would use the second solution because it's a little "neater."  We have the speed for the first part of the trip (9 mph); now we just need to subtract 5mph to get the speed for the second part of the trip.

9-5 = 4

The canoeist's speed on the first part of the trip was 9mph, and their speed on the second part was 4mph.
You might be interested in
Gwen had an awful time camping! When she got home, she counted 5 mosquito bites on her legs for every 4 bites on her arms. Gwen
pogonyaev

Answer:

5*4 = 20

20 + 3 = 23

answer : 23

Step-by-step explanation:

7 0
3 years ago
When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i
poizon [28]

Answer:

96feet

Step-by-step explanation:

Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2

x is the number of feet away from the sprinkler head the spray

To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;

From the equation

ℎ(x)=160−16x^2

h(2) = 160-16(2)²

h(2) = 160-16(4)

h(2) = 160-64

h(2) = 96feet

Hence the height will be 96feet if the spray is 2feet away from the sprinklers head

8 0
3 years ago
Solve the rational equation:
Ivahew [28]

Answer:

Step-by-step explanation:

C. f(x) will be a very small negative number, approaching -∞

8 0
3 years ago
A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used. Which function
EastWind [94]

Answer

Find out the total monthly charges for x cubic feet of water used .

To prove

As given

A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used.

Than the equation become

Total monthly  charges for x cubic feet of water used = Monthly connection fee + charges for x cubic feet of water

thus

f(x) = 22  + 2.30x

where x is the  x cubic feet of water used .

Therefore Option (B) is correct i.e f(x) = 22  + 2.30x .



4 0
3 years ago
Read 2 more answers
Jaz has the following scores from a new game:
Marina86 [1]

Answer:

the mean of it all will increase

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • X = 8 , m = 3 , EVAULATE !!!! <br> ILL GIVE YOU BRAINLIST SHOW WORK !!!
    7·2 answers
  • Y = 2x + 4<br> y = 3x +2<br> Graph and give me the points of this linear equation
    8·1 answer
  • What is the period of the function f(x)=3sin(2x-1)+4
    8·1 answer
  • The probability that a person in a certain town has brown eyes is 2 out of 5. A survey of 450 people from that same town was tak
    9·2 answers
  • dolphin jet ski shop charges a flat fee of $37.00 plus $1.25 per hour to rent a jet ski. Marlin Jet Ski charges a fee of $30.00
    14·1 answer
  • Given that 5 x : 8 = 7 : 2 Calculate the value of x .
    15·1 answer
  • Point C (6,-2) is dilated from the origin by scale factor r= 1/2 What are the coordinates of C?
    13·1 answer
  • (x + 3x3 + 8x2) - (8x – 7x3 + 7x2)
    7·2 answers
  • Help as soon as possible
    7·1 answer
  • Help. I will give brainliest if correct. <br> A. -4/3<br> B. -3/4<br> C. 10/17<br> D. 17/10
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!