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wlad13 [49]
3 years ago
9

The volume of a packing box is 5 – x cubic feet. The width of the box is x feet and the length is x – 2 feet. The height is give

n by the expression Which of these values of x make the expression undefined?
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0
By definition we have that the volume is given by
 V = h * w * l
 where
 V: Volume
 h: height
 w: width
 l: length
 Clearing the height we have:
 h = V / (w * l)
 h = (5 - x) / ((x) * (x - 2))
 The expression is not defined for the values of x that make the denominator zero:
 ((x) * (x - 2)) = 0
 x = 0
 x = 2
 Answer
 h = (5 - x) / ((x) * (x - 2))
 x = 0
 x = 2
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This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

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