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Fynjy0 [20]
3 years ago
5

Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How

much does Kendra charge for an egg? A piece of toast?
Mathematics
1 answer:
34kurt3 years ago
7 0
Assume E represents the cost of an egg and T represents the cost of one piece of toast.

We can construct two equations :
2E + T = $3.00 - - - - - (a)
E + T = $1.80 - - - - - (b)

Subtract equation b from a:
E = $1.20 (The price of one egg)

To find out the price of one piece of toast, replace the price of one egg in equation b:
T = $1.80 - $1.20 = $0.60 (The price of one piece of toast)

Hope that helps you

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Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line
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Answer:

An equation in standard form for the line is:

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Step-by-step explanation:

Given the points

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\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

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m=\frac{4-\left(-1\right)}{0-\left(-2\right)}

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Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

y-y_1=m\left(x-x_1\right)

Putting the point (-2, -1) and the slope m=1 in the line equation

y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)

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y=\frac{5}{2}x+4

Writing the equation in the standard form form

As we know that the equation in the standard form is

Ax+By=C

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so

y=\frac{5}{2}x+4

\frac{5}{2}x-y=-4

Therefore, an equation in standard form for the line is:

\frac{5}{2}x-y=-4

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[ Refer to the attached file ]

( Slide to refer all files )

________________________________

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<h2 />

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