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3 years ago

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Mathematics

1 answer:

Blizzard [7]3 years ago

3 0

Answer:

Step-by-step explanation:

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Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi

skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

$\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}$

Solving the equation we get,

$\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}$

$9\times 4=3\times n(n -1)$

$36=3\times n(n -1)$

$n^2-n-12=0$

$n^2-4n+3n-12=0$

$n(n-4)+3(n-4)=0$

$(n-4)(n+3)=0$

$n=4,-3$

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

$S=\frac{D}{T}$

$S_a=\frac{4\times 450}{9}$

$S_a=200 m/min$

Brian completes 3 laps in that 9-minute time, so his rate is

$S_b=\frac{3\times 450}{9}$

$S_b=150 m/min$

Therefore, Alan: 200 m/min

Brian: 150 m/min

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3 years ago

(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}

olasank [31]

Answer:

Explanation:

I used the calculator.

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3 years ago

Please Help With This

Blizzard [7]

B) If we subtract females who prefer dogs from the total that prefer dogs we will know how many males prefer dogs.

290-180=110

So 110 males prefer dogs.

c) 180 females prefer dogs and 12 prefer fish, so 180+12=192 females do not prefer cats.

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3 years ago

3 times as many as 2805

klasskru [66]

Answer:

i dont understand can you put it in like an equation

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Please help <br> Meeeeeeeeeeeeeee

Alexxandr [17]

Answer:

Step-by-step explanation:

The equation of this circle is (x - 2)^2 + (x + 3)^2 = 36.

The center of the circle is at (h, k): (2, -3), and the radius, r, is 6.

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3 years ago