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3 years ago

An algebra book weighs 6 oz less

Mathematics

1 answer:

Mashcka [7]3 years ago

8 0

Answer:

Algebra book weighs 24 oz

Grammar book weighs 15 oz

Step-by-step explanation:

algebra = x and grammar = y

x = 2y-6

5x = 8y

5(2y-6) = 8y

10y - 30 = 8y

2y - 30 = 0

2y = 30

y = 15

x = 2(15)-6

x = 30-6

x = 24

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My name is Ann [436]

Answer:

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Step-by-step explanation:

See attachment for complete question.

We start by solving for the equation of the graph (The graph shows a linear equation)

Represent pencils with x and pen with y

From the graph, we have that:

$(x_1,y_1) = (6,4)$

$(x_2,y_2) = (12,8)$

Solve for slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{8 - 4}{12- 6}$

$m = \frac{4}{6}$

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The equation is calculated using:

$y - y_1 = m(x - x_1)$

Where

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

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$y - 4 = \frac{2}{3}x - \frac{2}{3} * 6$

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Add 4 to both sides

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Now, to the question.

When pencils is 15 implies that

$x = 15$

Solving for x, we have:

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

$y= \frac{2}{3} * 15$

$y= \frac{2* 15}{3}$

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Simplify

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

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