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choli [55]
3 years ago
12

Patricia is making two sizes of hamburgers: 0.5 pound and 0.25 pound. How many of each size of hamburger could she make with 3.7

5 pounds of hamburger?

Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the number of hamburgers of 0.5 pounds

y-----> the number of hamburgers of 0.25 pounds

we know that

The inequality that represent the situation is equal to

0.5x+0.25y\leq3.75

The solution of the inequality is the triangular shaded area

see the attached figure

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At first we need to know how to find the distance between two parallel lines
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========================================================

Part (1):
=======

<span>The distance between the lines
</span>
<span> Y₁ = 3x + 10    and       Y₂ = 3x - 20</span>
∴ m = 3  , c₁ = 10  and  c₂ = -20
∴ d = \frac{| 10 - (-20)|}{\sqrt{1 + 3^{2}}}= \framebox{9.5}

========================================================

Part (2):
=======

<span>The distance between the lines
</span>
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