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3 years ago

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 5 rows of the same length, he

Mathematics

1 answer:

Irina18 [472]3 years ago

3 0

Answer:

30 Chairs

Step-by-step explanation:

I will solve this problem using algebra and try to explain in detail.

We can form two equations with the information given to us.

Firstly, 5 times a length of chairs (I will call this unknown length of chairs x), plus 5 left over chairs, equals the total number of chairs (I will call the total number of chairs y).

5x + 5 = y

Secondly, 3 times a length of chairs (I will call this unknown length of chairs x), plus 15 left over chairs, equals the total number of chairs (I will call the total number of chairs y).

3x + 15 = y

Since both equations are equal to y, they are equal to each other

5x + 5 = 3x + 15

Take 5 away from both sides of the equals, and take away 3x from both sides of the equals

5x - 3x = 15 - 5

2x = 10

Divide both sides by 2

x = 5 chairs

Put this back into either the first equation or the second to solve for y

3 (5) + 15 = y

15 + 15 = y

y = 30 chairs

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Oksi-84 [34.3K]

Answer:

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Explanation:

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3 years ago

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Answer:

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3 years ago

The profit y (in dollars) for a business from selling x coats is represented by y=56x . Graph the equation.

Agata [3.3K]

Answer:

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given that the profit y (in dollars) for a business from selling x coats is represented by the equation

$y=56x$

comparing with the slope-intercept form of the line equation

m = 56

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

substitute x = 0 in the equation

y = 56(0)

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Thus, the y-intercept b = 1

Thus,

The equation y = 5x has:

The slope m = 56

The y-intercept b = 1

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

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