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aleksandr82 [10.1K]
2 years ago
13

The weight of each fountain pen manufactured in a factory must be 10g with a tolerance of 2g. Pens that are not within the toler

ated weight must be thrown away. Write an inequality that can be used to assess which pens are tolerable (w is the weight of the pen)?
Mathematics
1 answer:
FromTheMoon [43]2 years ago
5 0

According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:

|w - 10| \leq 2

The <em>absolute value</em> function measures the <u>distance of a point to the origin</u>, and is defined by:

  • |x| = x, x \geq 0
  • |x| = -x, x < 0

The weight must be of 10g, with a tolerance of 2g, which means that the <u>absolute value of the difference between the weight w and 10g must be of at most 2g</u>, hence the inequality is:

|w - 10| \leq 2

To learn more about absolute value inequalities, you can take a look at brainly.com/question/24005819

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Answer:

A. 3.5

Step-by-step explanation:

The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.

So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.

You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.

Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.

Hope this helps! :)

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Find the solution to the system:
Sliva [168]

Answer:

u = 12, v= 15

Step-by-step explanation:

Given the system of simultaneous equation:

1/6 u− 1/3 v=−3... (1)

0.2u+0.1v=3.9...(2)

Rewriting both equation as fraction

1/6 u− 1/3 v=−3

1/5 u + 1/10 v = 39/10

Multiplying equation (1) by 6 and (2) by 10 we have:

u - 2v = -18... (3)

2u + v = 39...(4)

Using elimination method, we will first multiply equation (3) by 2 and (2) by 1 to have:

2u-4v = -36 ...(5)

2u+v = 39...(6)

Subtracting (5) from (6);

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Substituting v = 15 into equation (3) to get u we have:

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