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vodomira [7]
2 years ago
5

The table shows the ratio between the number of books ordered and their cost:

Mathematics
2 answers:
Mrrafil [7]2 years ago
7 0

7 books costs $14, etc.  We have points in a line

(7,14)

(8,16)

(9,18)

They're all points on the line y=2x which just means it costs $2 a book.  So 1 book costs $2, 2 cost $4, and 3 cost $6.  We have three new points:

(1,2)

(2,4)

(3,6)

They're all on the same line, y=2x, just closer to the origin than the first three. We plot a point at x=1, y=2,  etc.

Merry Christmas



Ahat [919]2 years ago
6 0

Answer:

Number of books   Cost (dollars)

        1                            2

        2                            4

        3                            6

_____________________________________

(1,2)

Start from the origin and move 1 unit to the right and 2 units up.

(2,4)

Start from the origin and move 2  units to the right and 4 units up.

(3,6)

Start from the origin and move 3 units to the right and 6 units up.

Step-by-step explanation:

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Kobotan [32]

Answer:

p = \frac{35}{13} and q = \frac{6}{13}

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the <em>elimination method</em>

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

<u>  -   [6p + 4q = 18]   </u>  

<u>             -13q = -6     </u>  -----------------(v)

<u />

<u>(c)</u> Next, make q subject of the formula in equation (v)

      q = \frac{6}{13}

(d)  Now substitute the value of q = \frac{6}{13} into equation (i) as follows;

     2p - 3(\frac{6}{13}) = 4

(e)  Now, solve for p in d above

<em>Multiply through by 13;</em>

26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

26p = 70

<em>Divide both sides by 2</em>

13p = 35

p = \frac{35}{13}

Therefore, p = \frac{35}{13} and q = \frac{6}{13}

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