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makkiz [27]
3 years ago
14

1. Each row in a window display of floppy disk cartons contains two more boxes than the row above. The first row has one box. a.

Complete the table. Row Number 1 2 3 4 5 6 Boxes in the row Total boxes in the display
Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0
Each row has two more boxes than the row above. The first row has one box 

The boxes in a row form an arithmetic sequence with the first term, a₁ = 1 and the common difference, d=2.
The n-th term is
a_{n} = a+(n-1)d
The sum of n terms is
S_{n} = \frac{n}{2}(a_{1} + a_{n})

Answer:
The table will have the following:

Row Number:                        1   2   3    4    5    6
Boxes in the row:                  1   3   5    7    9    11
Total boxes in the display:    1   4   9  16  25  36
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17 one point shots and 39 two point shots were made

Solution:

Given that,

At a basketball​ game, a team made 56 successful shots

They were a combination of​ 1- and​ 2-point shots

Let "x" be the number of 1 point shots

Then, 56 - x is the number of two point shots

The team scored 95 points in all

Therefore,

1(number of 1 point shots) + 2(number of two point shots) = 95

x + 2(56 - x) = 95

x + 112 - 2x = 95

x = 112 - 95

x = 17

Then, number of two point shots = 56 - x = 56 - 17 = 39

Thus 17 one point shots and 39 two point shots were made

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