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love history [14]
3 years ago
9

Pls help 10 pnt X= 6 3.75 2

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

4 × ( x + 4 ) = 3 × ( 3 + 5 )

4 × ( x + 4 ) = 3 × 8

Divide both sides by 4

x + 4 = 3 × 2

x + 4 = 6

Subtract both sides 4

x = 2

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The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m
vagabundo [1.1K]

<u>Answer-</u>

The equation that describes the pattern is,

\boxed{\boxed{y=2{x}+30}}

<u>Solution-</u>

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

(0,30),(15,60),(30,90),(45,120)

Taking first two points i.e (0,30),(15,60), the line equation will be,

\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}

\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}

\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}

\Rightarrow 15(y-30)=30{x}

\Rightarrow y-30=2{x}

\Rightarrow y=2{x}+30

Putting the other two points i.e (30,90),(45,120) in the equation, they also satisfy the equation. That means they are also on the same line y=2{x}+30.

From the result, it is evident that P and G are linearly related.

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