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Tema [17]
3 years ago
8

Two cyclists leave town at the same time on the same road going in  the same direction. Cyclist a is going 6 miles per hour fast

er than cyclist b. After 8 hours, cyclist a has traveled three times the distance as cyclist b. Use the equation 24x= 8(x+6) to find how fast cyclist b was traveling.
Mathematics
2 answers:
tia_tia [17]3 years ago
7 0
24x=8x+48
16x=48
/16  /16

x=3
fgiga [73]3 years ago
6 0

Answer:

3 mph

Step-by-step explanation:

Two cyclists leave town at the same time on the same road going in  the same direction.

Cyclist A is going 6 mph faster than cyclist B

Let speed of cyclist B be x mph

Speed of cyclist A be (x+6) mph

Both cyclist leave town at the same time and traveled 8 hours.  

  • Distance covered by cyclist A in 8 hours= 8(x+6)
  • Distance covered by cyclist B in 8 hours= 8x

After 8 hours cyclist A has traveled 3 times the distance as cyclist B

Therefore, 8(x+6) = 3(8x)

8x + 48 = 24x

24x - 8x = 48

       16x = 48

          x = 3 mph

Hence, The speed of cyclist B was 3 mph

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Brut [27]

Answer:

±1,±1/3,±5,±5/3,±25,±25/3

Step-by-step explanation:

Rational roots test (p/q)

p= factors of constant

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In this equation, the number with the highest degree (power) is 3.

The factors of 3 are 3 and 1.

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so, basically,

p/q = factors of constant/ factors of number w/ highest degree.

25, 1, 5/ 3,1

so, 25/3, 25/1, 1/3, 1/1, 5/3, 5/1

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2 years ago
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Ratling [72]
Since it's so nicely grouped, we can work with it! For the equation to equal 0, x=0, 3, or -1 (since x-3 and x+1 equal 0 when plugged in with 3 and -1 respectively). All we have to do is plug in numbers before, between, and after these numbers and apply it to the rest of them. Since -1 is the smallest number of the group, we can plug in a number below that (for this example, -5) and plug it in to get -8*-5*-4= something negative since it contains an odd number of negative numbers. Therefore, anything less than 1 is negative. For between -1 and 0, we get x=-0.5 equals -0.5*-3.5*0.5=something positive (since it has an even amount of negative numbers), proving that everything between -1 and 0 here is positive.  For something between 0 and 3, we can plug 1 in to get 1*-2*2= something negative. Do you see a pattern here? It's negative, then positive, etc.. Therefore, if the number is greater than 3 it is positive.  Reviewing a bit, we can see that (-inf, -1) is negative as well as (0,3), making the interval notation (-inf, -1) U (0, 3) since when you plug -1, 0, and 3 in it is 0, not less than 0!
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olasank [31]

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<h3>step by step explanation </h3>

● area of regular polygon Formulas ,

⟹a = \frac{l^{2}n}{4tan(\frac{\pi }{n)}}

● now finding the area of regular polygon,

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Hope it's helps you

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