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Vadim26 [7]
3 years ago
12

julio says if you subtract 15 from my number and multiply the difference by -7, the result is -42 what is julio number

Mathematics
2 answers:
natali 33 [55]3 years ago
8 0

Answer:

-10

Step-by-step explanation:

Viefleur [7K]3 years ago
8 0

Answer:

 309

Step-by-step explanation:

-42 x -7 = 294 + 15 = 309

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A wall is in the shape of a trapezium. The first level of the wall is made up of 50 bricks where as the top level has 14 bricks.
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Answer:

i). 10 levels of the bricks

ii). 320 bricks

Step-by-step explanation:

First level contains number of bricks = 50

Second level will contain = 50 - 4 = 46 bricks

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Therefore, sequence formed for the number of bricks in each level of the wall will be,

50, 46, 42........14

This sequence is an arithmetic sequence having,

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Common difference 'd' = 46 - 50 = (-4)

Last term of the sequence T_{n}= 14

i). Expression representing last term will be,

  T_{n}=a+(n-1)d

  Here T_{n} = nth term

  a = first term

  n = number of term (Number of level of the wall)

  d = common difference

  By substituting these values in the formula,

  14 = 50 + (n - 1)(-4)

  14 - 50 = (-4)(n - 1)

  -36 = -4(n - 1)

  9 = (n - 1)  

  n = 9 + 1

  n = 10

ii). Number of bricks used in the wall = Sum of the sequence

   Expression for the sum of an arithmetic sequence is,

   S_n=\frac{n}{2}[2a+(n-1)d]

   S_n=\frac{10}{2}[2\times 50+(10-1)(-4)]

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