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icang [17]
2 years ago
11

The map shows the length of two trails used for a race around a lake. What is the total distance of the race? A trail race map.

One part of the race is 3.21 miles and the other part of the race is 5.7 miles. What are the steps you would follow to solve this problem? 1. 2. 3. 4.
Mathematics
1 answer:
ra1l [238]2 years ago
4 0

Answer:

2

Step-by-step explanation:

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Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he
Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, time=\frac{distance}{speed}

So, time for running= \frac{8}{x}

And time for riding= \frac{11}{x+9}

Equation becomes:

\frac{8}{x}+\frac{11}{x+9}=1.5

Now, multiply every term by 2x(x+9) to clear denominators:  

16(x+9)+22x=3x(x+9)

Simplifying it we get

3x^{2}-11x-144=0

Solve the quadratic equation using formula

x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x=\frac{-16}{3}

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0
3 years ago
How to solve this problem because I have no clue in what I’m doing here plz help
Lelechka [254]

Answer:

Step-by-step explanation:

Be cool

5 0
3 years ago
File Is Attached To The Question
Paul [167]

Answer:

<h2>3.05x(output for x)</h2><h2>39.65</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • function
  • PEMDAS
<h3>let's solve:</h3>

according to the question

the function is

f(x)=3.05x(first answer)

let's justify

f(1)=3.05×1

=3.05

LIKEWISE

f(3)=3.05×3

=9.15

therefore

it is the function

answer for the second question

f(13)=3.05×13

=39.65

6 0
2 years ago
Determine the domain and range of the following
Tasya [4]

Answer:

Domain: (-3,-2,0,1,2,3)

Range: (9,4,1,0,1,4,9)

Step-by-step explanation:

5 0
3 years ago
A plumber charges $10 for transportation and $37 per hour for repairs.
Ganezh [65]

Answer:

10+37h

Step-by-step explanation:

10 is the flat fee so only happens once

37 is hourly rate so multiply by h (hours)

6 0
3 years ago
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