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Degger [83]
3 years ago
6

At a concession​ stand, three hot dogs and 4 hamburgers cost ​$11.50​; 4 hot dogs and three hamburgers cost $11.25 Find the cost

of one hot dog and the cost of one hamburger.
What is the cost of one hot dog​? ​
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer:11.50/4=2.87

2.87×3=8.61

11.25-8.61=2.62

one hamburger$ 2.87

one hot dog $2.64

Step-by-step explanation:

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<h3>1.</h3>

The equation in point-slope form:  y - y₁ = m(x - x₁)

slope:  m = -2

point:   (4, -5)   ⇒   x₁ = 4, y₁ = -5

Therefore, the equation of the line in point-slope form:

<h3>y + 5 = -2(x - 4)</h3>

<h3>2.</h3>

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Parallel lines has the same slope, so:

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If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.

(4, 6)  ⇒   x₁ = 4, y₁ = 6  

So:   6 = 4·4 + b  ⇒   b = -10

Therefore the equation:  

<h3>y = 4x - 10</h3>

<h3>3.</h3>

a = 3

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The equation:  

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<h3>4. </h3>

The product of slopes of perpendicular lines is -1.

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Answer

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352 + 116

we have to break 116 and use it on open number line

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And addition will be shown in the number line attached below

now,

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452 + 10 = 462

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