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juin [17]
2 years ago
12

A group of 5 teachers bought 3 pens and 1 eraser each. Their total cost for all the materials was $12.89. If the eraser was $0.9

7, how much was each pen?
Variable:________________

Equation:________________

Solution:________________
Mathematics
1 answer:
n200080 [17]2 years ago
7 0

Answer:

  • $0.536

Step-by-step explanation:

<u>Variable: </u>

  • p for pen

<u>Equation:</u>

  • 5(3p + 0.97) = 12.89

<u>Solution:</u>

  • 5(3p + 0.97) = 12.89
  • 15p + 4.85 = 12.89
  • 15p = 12.89 - 4.85
  • 15p = 8.04
  • p = 8.04 / 15
  • p = 0.536
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Step-by-step explanation:

Denote the events as follows:

<em>X</em> = an US adult who does not uses social media.

<em>Y</em> = an US adult between the ages 18 and 29.

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(a)

Compute the probability that a randomly selected U.S. adult uses social media as follows:

P (US adult uses social media (<em>X'</em><em>)</em>) = 1 - P (US adult so not use social media)

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Thus, the probability that a randomly selected U.S. adult uses social media is 0.35.

(b)

Compute the probability that a randomly selected U.S. adult is aged 18–29 as follows:

P (Adults between 18 - 29 (<em>Y</em>)) = 1 - P (Adults 30 or above)

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(c)

Compute the probability that a randomly selected U.S. adult is 18–29 and a user of social media as follows:

P (Y ∩ X') = P (Y) + P (X') - P (Y ∪ X')

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