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Marianna [84]
3 years ago
12

A factory produces 5-packs of pencils. To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams

and 95 grams. The cardboard for each package has a mass of 15 grams. Write a compound inequality to represent of a single pencil in a pack. Can each pencil have a mass of 10.5 grams?
Mathematics
1 answer:
ollegr [7]3 years ago
8 0
Given:
1 pack = 5 pencils and cardboard.
1 pack must be between 60 grams and 95 grams

60g < x < 95g ; where x represents 1 pack.

Card board: 15 grams.

95g - 15g = 80g maximum total weight of 5 pencils
80g / 5 = 16g maximum weight of a single pencil

60g - 15g = 45g minimum total weight of 5 pencils
45g / 5 =9g minimum weight of a single pencil

9 < x < 16 ; where x represents a single pencil in the pack.

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Step-by-step explanation:

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For example:

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y = -1/2(4) + 5

y = -2 + 5

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3 years ago
The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate ar
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4 0
3 years ago
Find two numbers whose sum is 25 and the sum of whose reciprocals is 1/6
Katen [24]

Answer:

10 and 15

Step-by-step explanation:

Let 'x' and 'y' are the numbers we need to find.

x + y = 25 (two numbers whose sum is 25)

(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)

The solutions of the this system of equations are the numbers we need to find.

x = 25 - y

1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y

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