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3 years ago

1. For each of the following, factor out the greatest common factor:

Mathematics

1 answer:

nasty-shy [4]3 years ago

4 0

Answer:sjhudhrkldjskbdb

cod

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

4 0

3 years ago

Find the value of x plz :(

lutik1710 [3]

Answer:

stop

Step-by-step explanation:

stop using this app, the chances of you actually getting a helpful response or even one at all are so slim, just pay an actual tutor at this point

6 0

2 years ago

Solve. (K+1)(k-5)=0 Explin how to solve ???

Anna71 [15]

Alright remember, if any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
k+1=0
k-5=0
Set the first factor equal to 0 and solve
k=-1
Set the next factor equal to 0 and solve
k=5
The final solution is all the values that make (k+1)(k-5)=0 true.
k=-1, 5

Hope this helped you out :)

5 0

3 years ago

Read 2 more answers

Please solve for 1,2 and 3

Maslowich

Answer:

1. 750/100

h=7.5 in

4 0

2 years ago

Simplify the following expression. 9 1/2 r 5/2 t __________ rt 1/2

rosijanka [135]

Answer:

12r/t

Step-by-step explanation:

4 0

2 years ago