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3 years ago

13

The pizza has been divided into 12 equal slices. Sophia ate 25% of the pizza. Which fraction represents the part of the pizza so

phia ate?
a. 1/12
b. 3/12
c. 4/12
d. 6/12

1 answer:

Anastasy [175]3 years ago

7 0

Answer:

3/12

Step-by-step explanation:

12/12 x 0.25 = 3/12

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ANSWER

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EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

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Let the slope of the perpendicular line be

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Then
$m_1 \times m_2 = - 1$

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This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

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