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enot [183]
3 years ago
13

Directions-Write an equation for the nth term of each arithmetic sequence.

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0
Answer:

-1 equation x-2


3 equation x+0.5
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Jeff helped repair one half of the bicycles in a bike shop last week. If jeff worked on 5 bicycle, how many bicycles did the sho
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The answer would be 10.
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3 years ago
A boat covers 25 km upstream and 44 km downstream in t hours. Also, it covers 15 km upstream and 22 km downstream in 5 hours. Fi
aniked [119]

9514 1404 393

Answer:

  boat speed: (7t -95)/(6t² -110t +500)

  stream speed: (37t -345)/(6t² -110t +500)

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...

  25/(b-s) +44/(b+s) = t

  15/(b-s) +22/(b+s) = 5

This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.

Subtracting the first equation from 2 times the second gives ...

  2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)

  5/(b-s) = 10 -t

  5/(10 -t) = b -s

Substituting for b-s in the second equation gives ...

  15/(5/(10-t)) +22/(b+s) = 5

  30 -3t +22/(b+s) = 5

  22/(b+s) = 3t -25

  22/(3t -25) = b+s

Adding the equations for the sum and difference of speeds, we get ...

  (b-s) +(b+s) = 5/(10-t) +22/(3t -25)

  2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))

  b = (7t -95)/(6t² -110t +500)

Subtracting the equations for sum and difference of speeds, we get ...

  (b+s) -(b-s) = 22/(3t -25) -5/(10 -t)

  2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))

 s = (37t -345)/(6t² -110t +500)

__

The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.

The speed of the stream is (37t -345)/(6t² -110t +500) km/h.

__

Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.

7 0
3 years ago
Read 2 more answers
A straight line with the equation y=ax-3 goes through the point (2,11). Work out the value of a
Rzqust [24]

The value a is 7.

<h3>What is Straight Line?</h3>

A line is simply an object in geometry that is characterized under zero width object that extends on both sides. A straight line is just a line with no curves.

Here, the given equation of line

      y = ax -3

line passing through point (2, 11), then

    11 = a X 2 - 3

    11 + 3 = 2a

     2a = 14

      a = 7

Thus, the value a is 7.

Learn more about Straight line from:

brainly.com/question/20492082

#SPJ1

4 0
2 years ago
Can someone help me with this problem?
kompoz [17]
Answer: 5:6

Explanation:

The 2 polygons are similar

So 25/30 = 25.5/30.6 = 5/6 or 5:6
8 0
3 years ago
Problem 1.(32 points) A random sample of 100 Uber rides in Chicago has on average 5.4miles per ride. Assume the distribution of
marshall27 [118]

Answer:

a) CI = ( 5,1 ; 5,7 )

b) SE =  0,1  

Step-by-step explanation:

a) Sample random     n  = 100

Mean  =  μ = 5,4

Standard deviation   s = 1,3

CI = 99 %    α = 1 %   α = 0,01     α/2 =  0,005

z(c) for  0,005 is from z-table    z(c)  = 2,575

z(c)  =  ( X - μ ) /s/√n          CI  =  μ ± z(c) * s/√n

CI =  5,4 ± 2,575* 1,3/10

CI = 5,4 ± 0,334

CI = ( 5,1 ; 5,7 )

b) SE = Standard deviation / √n

SE = 1,3 /10       SE =  0,1  

We can support that with 99 % of probability our random variable will be in the CI.

6 0
2 years ago
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