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Anettt [7]
3 years ago
8

HELP I NEED TO FINISH THIS BY TOMMOROW

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
7 0
Ask your family while is work out the problem for you

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During the first part of a​ trip, a canoeist travels 96 miles at a certain speed. the canoeist travels 15 miles on the second pa
blondinia [14]
This problem is a problem using 
d = r * t
First part of the trip
d = 96 miles
r = ??
t = ??

Second part of the trip
d = 15 miles
r = r - 5
t = 4 - t

Solve for r first.
96/r + 15/(r - 5) = 4 hours                multiply through by r and r - 5
96(r - 5) + 15r  = 4*(r - 5)(r)             Remove the brackets on the left
96r - 480 + 15r = 4*r*(r - 5)             Collect like terms on the left.
111r - 480 = 4r(r - 5)                        Remove the brackets on the right.
111r - 480 = 4r^2 - 20r                     Bring the left side over to the right side.
0 = 4r^2 - 20r - 111r + 480               Collect like terms.
0 = 4r^2 - 131r + 480

The only way I could do this was to use the quadratic equation.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 4

b = - 131

c = 480

\text{x = }\dfrac{ -(-131) \pm \sqrt{(-131)^{2} - 4*4*480 } }{2*4}
\text{x = }\dfrac{ 131 \pm \sqrt{(17161) - 7680 } }{8}
\text{x = }\dfrac{ 131 \pm \sqrt{9481 } }{8}
\text{x = }\dfrac{ 131 \pm 97.37  }{8}

x = (131 + 97.38)/8
x = 28.55
x = (131 - 97.37)/8
x = 4.20

4.2 isn't going to work because the slower speed has to be larger than 5, otherwise you will get a negative speed (as this solution will give), so 4.20 is an extraneous solution.

r = 28.55 for the first  part of the trip and
r = 23.55 for the second part of the trip.

Check.
Let's see if the times add up to 4
d/r = t
96/28.55 = 3.36
15/22.75 = 0.64

The times do = 4, so the rates are correct.

Answers
r1 = 28.55 for the 96 mile trip.
r2 = 23.55 for the 15 mile trip.

8 0
3 years ago
On a scale . 1 inch represent 600 miles . how many miles would 3/4 inch represent?
MrRa [10]
It's a proportion.

\frac{ \frac{3}{4} }{1} =  \frac{x}{600}

x (1) = 600 (3/4)

x = 450 mi
8 0
3 years ago
What is the value represented by letter A on the box plot of data? 50, 20, 40, 50, 50, 85
Juli2301 [7.4K]

Answer:

the answer to your question is 5

Step-by-step explanation:

7 0
2 years ago
Solve K = 1/2 mv^2 for m
Dahasolnce [82]

Answer:m=2k/v^2

Step-by-step explanation:

The first thing you should do is divide 1/2 on both sides. Now you have 2k=mv^2. Then divide v^2 from each side and you get a final answer of (2k/v^2)=m

4 0
3 years ago
Which is smaller half of 36 or one seventh of 42
lyudmila [28]
1/7 of 42 is smaller. 47/7= 6 < 18 = 36/2
4 0
3 years ago
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